Roberto and Maeko open a pet store and start with 5 hamsters for sale. Hamster populations usually triple every cycle. One cycle is equal to 4 months. Write an equation in function notation to represent the change in the number of hamsters as a function of the cycle number, c. Explain how you determined your equation.

Answers

Answer 1

The number of hamsters as a function of the cycle number, c, can be represented by the equation:

f(c) = 5 * 3^c

This equation was determined by the fact that the population triples every cycle and the starting number of hamsters is 5. The function notation is f(c) which represents the number of hamsters as a function of the cycle number. The base of the equation is 3, which represents the rate at which the population triples. The exponent is c, which represents the cycle number. The coefficient is 5, which represents the starting number of hamsters.


Related Questions

The constant of proportioality between the number of children (c) on a field trip and the number of teachers (t) on the trip is 14/3

Answers

The constant of proportionality is known to be the ratio of two proportional values that is said to be in a constant value.

What is constant of proportionality?This means that for every 3 teachers present on the trip, there will be 14 children. This proportion can be represented by the equation c= (14/3)t, where c represents the number of children and t represents the number of teachers. This proportionality can be used to predict the number of children on a trip based on the number of teachers, or vice versa. For example, if there are 9 teachers on a trip, we can use the equation to predict that there will be (14/3) * 9 = 42 children on the trip. This proportionality also implies that as the number of teachers increases, the number of children will also increase in the same proportion. It is represented as a number, often represented by the letter "k", that represents the ratio between the two variables. In a proportion, the two variables are related in a fixed ratio, meaning that if one variable increases, the other variable will also increase in the same proportion. For example, if there is a constant of proportionality of 2 between the number of apples (a) and the number of oranges (o), it means that for every 2 apples there are, there will be 1 orange.

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X/4 = 20
please help

Answers

the answer is x = 80 (gotta have 20 characters to send it so just ignore everything else typed)

Answer:

x = 80

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Note that x is being divided by 4. To isolate x, do the opposite. Multiply 4 to both sides of the equation:

[tex]\frac{x}{4} = 20\\(\frac{x}{4} ) * 4 = (20) * 4\\x = 20 * 4\\x = 80[/tex]

x = 80 is your answer.

~

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in the given figure,AB is parallel to CD and angle EAB =50°,angle ECD =100°,find angle AEC

Answers

If AB is parallel to CD and angle EAB =50°,angle ECD =100° then Angle AEC is 112∘

Since AB∥CD

∴∠CAB+∠DCA=180 ∘  (Co-interior angles)

The inside angles total 180 degrees and are known as co-interior angles. It indicates that two internal angles that are on the same side of the transversal have a sum that is additional.

∴22 ∘ +∠DCA=180 ∘

⇒∠DCA=180 ∘ −22 ∘ =158 ∘

Also, ∠ECD+∠DCA+∠y=360 ∘  (Angles about a point)

Angles around a point refer to the total number of angles that can be combined to produce a complete turn. A point's surrounding angles add up to 360°. The angles circling a point add up to 360° since they have completed a full turn and are identical in magnitude.

⇒90 ∘ +158 ∘ +∠y=360 ∘

⇒∠y=360 ∘ −(90 ∘ +158 ∘ )

⇒∠AEC=y=360 ∘ −248 ∘ =112∘

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Chapter 5 30 Glencoe Algebra 1 5-5 Study Guide and Intervention (continued) Inequalities Involving Absolute Value Solve Absolute Value Inequalities (>) When solving inequalities that involve absolute value, there are two cases to consider for inequalities involving > (or ≥). Remember that inequalities with or are related to unions.

Answers

When solving absolute value inequalities involving the greater than symbol (>) or greater than or equal to symbol (≥), we have to consider two cases absolute value expression greater than the constant and less than the constant.

The absolute value expression is greater than the constant:

|x| > c or |x| ≥ c

In this case, we can split the solution set into two parts: x < -c and x > c. The solution is all real numbers less than -c and all real numbers greater than c.

The absolute value expression is less than the constant:

|x| < c or |x| ≤ c

In this case, we can split the solution set into two parts: -c < x < c. The solution is all real numbers between -c and c, excluding -c and c.

For example, consider the inequality |x| > 2. The solution is x < -2 or x > 2, so the solution set is {x | x < -2 or x > 2}.

--The question is incomplete, answering to the question below--

"When solving inequalities that involve absolute value, there are two cases to consider for inequalities involving >. Explain"

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Company A has 18 machines that each produce t toy cars per hour. Company B has 15 machines that each produce 75 more toy cars per hour than each of Company A’s machines. In order for the companies to produce an equal number of toy cars, how many toy cars does each machine at Company A need to produce per hour?



Write an equation that can be used to solve the problem.


Part B
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Fill in the blank question.
Company A’s machines each produce
toy cars per hour.



Company B’s machines each produce
toy cars per hour.

Answers

The system of equations is solved and the number of toy cars of each machine of Company A should produce to have equal number of toy cars is t = 375 toys

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of toy cars produced by Company A be A

Let the number of toy cars produced by Company B be B

The number of machines for A = 18 machines

The number of machines for B = 15 machines

The number of toy cars produced by A = t cars

The number of toy cars produced by B = 75 + t

And ,

The total number of toy cars of A = 18 x t

The total number of toy cars of B = 15 ( 75 + t )

So , in order for both the company's to have the same toys is

18t = 15 ( 75 + t )

On simplifying the equation , we get

18t = 1125 + 15t

Subtracting 15t on both sides of the equation , we get

3t = 1125

Divide by 3 on both sides of the equation , we get

t = 375 toys

Hence , the equations is A = 18t and B = 15 ( 75 + t )

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-4x + -2y = -12 4x + 8y = -24 Solve each system of equations. Show all your work.

Answers

Answer: x=6, y=-6

Step-by-step explanation:

-4x + -2y = -12 (a)

4x + 8y = -24 (b)

(a)+(b)= -4x+4x+8y+(-2y)=-12+(-24)

                                 6y= -36

                                   y=-6

put y=-6 into formula (a)

-4x+12=-12

-4x= -24

x=6

Find the equation of the plane passing P(1,2,1) and is orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0.

Answers

The equation of the plane passing P (1,2,1) and orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0 is -3x-2y-z+8=0.

Equation of plane passing through (x1,y1,z1) is given by

A(x-x1)+B(y-y1)+C(z-z1)=0

where, A, B, and C are direction ratios

In the question, it is given that the plane passes through (1,2,1)

So, the equation of the plane will be in the form,

A(x-1)+B(y-2)+C(z-1)=0

It is also given that the plane is perpendicular to give 2 planes.

So, their normal to the plane would be perpendicular to the normal of both planes.

So, the required normal is a cross-product of the normals of planes

x-y-z-10=0 and x-2y+z-2=0

i.e,

-3i-2j-k=0

so, the direction ratios,

A=-3, B=-2, C=-1

putting the direction ratios in the previous equation of the plane,

-3(x-1)-2(y-2)-1(z-1)=0

-3x+3-2y+4-z+1=0

-3x-2y-z+8=0

is the required equation of the plane

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A box of cereal is reduced by 30%. The new box contains 35 ounces. How many ounces did the old box contain?

Answers

The old box of cereal contained 24.5 ounces.

Take 30% of the original box of cereal.

To find 30% of a number, multiply the number by 0.3.

35 ounces x 0.3 = 10.5 ounces

Subtract 10.5 ounces from 35 ounces.

35 ounces - 10.5 ounces = 24.5 ounces

Answer: The old box of cereal contained 24.5 ounces.

When you take a single number and multiply it by several, you are multiplying. A 5 multiplied by a 4 results in 20 (5 + 5 + 5 + 5). We multiplied the number five by four times. Due to this, multiplication is occasionally referred to as "times."

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2. Write an inequality statement whose solution is an empty set.
3. Write an inequality statement whose solution is some but not all real numbers. Graph the solution on a number line.
4. Write an inequality statement whose solution is all real numbers. Graph the solution on a number line.
5. Write an inequality statement whose solution is exactly one number. Graph the solution on a number line.

Answers

The inequality statements are 1 < 0, x > 0, x = x and x = 5

How to determine the inequality statements

An empty set

An empty set is a set with no elements.

An inequality statement with no solutions results in an empty set.

One example of an inequality statement with no solutions is 1 < 0.

Some solution but not all real numbers

An inequality statement whose solution is some but not all real numbers is x > 0.

The solution set is the set of all positive real numbers, excluding 0.

The number line is represented as follows

|------------------------------------| 0  |----------------------------- |

All real numbers

A statement whose solution is all real numbers is x = x

The solution set is the set of all real numbers

The number line is represented as follows

|--------------------------- | ...  | -2  | -1  | 0  | 1  | 2  | ... |

Exactly one number

A statement whose solution is exactly one number is x = 5.

The solution set is the set containing only the number 5

The number line is represented as follows

|--------------------------- | ...  | 4  | ... |

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Which point lies on the y axis graph i ready

Answers

The points that lie on the y-axis of the graph have a x-coordinate of zero.

Hence the format of the point is of:

(0,y).

How to define the ordered pair?

The general format of an ordered pair is given as follows:

(x,y).

For the x-coordinate, we have that:

If it is positive, the point is x units right of the origin.If it is negative, the point is x units left of the origin.

On the y-axis, the point does not move horizontally, just vertically, hence the points that lie on the y-axis of the graph have a x-coordinate of zero, and the format of the point is given as follows:

(0,y).

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Three friends are put their money together to buy a $58 gift. Joe put in twice the amount of money as Sara. Lisa put
in ten dollars more than Sara. How much money did Lisa and Joe put towards the gift?

Answers

Answer:

I'm doing this to complete one of the steps. good luck my friend

Step-by-step explanation:

16x² + y² - 128x - 20y + 292 = 0

Find the focal radius of the ellipse and the points at which the two foci sit.

Answers

The focal radius of the ellipse of which the two foci seat are:  

(-8 + 6√3, 10) (-8 - 6√3, 10).

How to solve for the focal radius

An ellipse can be represented in the standard form as (x/a)² + (y/b)² = 1, where (a,b) is the center of the ellipse and a and b are the semi-major and semi-minor axes respectively.

Given the equation of the ellipse:

16x² + y² - 128x - 20y + 292 = 0

To put it in the standard form, we have to complete the square and then divide both sides by the constant on the right-hand side.

First, we complete the square by adding and subtracting (128/2)² and (20/2)² respectively:

16x² - 128x + (128/2)² + y² - 20y + (20/2)² = 292 + (128/2)² + (20/2)²

Then, we divide both sides by 292:

(16x² - 128x + (128/2)²)/292 + (y² - 20y + (20/2)²)/292 = 1

On simplifying we get:

(4x - 8)²/144 + (y - 10)²/36 = 1

Now we have the standard form of the equation of the ellipse and we can find the semi-major and semi-minor axis and the center of the ellipse.

The semi-major axis is equal to the square root of the coefficient of x squared (144) and the semi-minor axis is equal to the square root of the coefficient of y squared (36).

The center of the ellipse is (-8, 10) and the semi-major and semi-minor axis are 12, 6 respectively.

The focal radius is the distance between the center and the focus. The focal radius is equal to the square root of the semi-major axis squared minus the semi-minor axis squared.

Focal radius = √(a² - b²) = √(144-36) = √108 = 6√3

The two foci of the ellipse sit on the x-axis, symmetric about the center of the ellipse. The foci are located at (-8 ± 6√3, 10).

Therefore, the two foci of the ellipse are at (-8 + 6√3, 10) and (-8 - 6√3, 10).

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if f(x) = 4x^3+24x^2+41x+15 and x+3 is a factor of f(x) then find all of the zeros of f(x) algebraically

Answers

All of the zeros of f(x) algebraically are; x = -3, x = -1/2, x = -5/2

How to find the zeros of the polynomial?

The zeros of a polynomial p(x) are defined as all the x-values that make the polynomial equal to zero.

The polynomial is;

f(x) = 4x³ + 24x² + 41x + 15

To find the x-intercept, we will equate the polynomial to zero to get;

4x³ + 24x² + 41x + 15 = 0

Since (x + 3) is a factor, then we can factorize the polynomial as;

(x + 3)(4x² + 12x + 5) = 0

Rewriting the quadratic term gives;

(x + 3)(4x² + 2x + 10x + 5) = 0

(x + 3)(2x(2x + 1) + 5(2x + 1)) = 0

Thus, the factors are expressed as;

(x + 3)(2x + 1)(2x + 5) = 0

Thus, the zeros are;

x + 3 = 0

x = -3

2x + 1 = 0

x = -1/2

2x + 5 = 0

x = -5/2

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Olivia flips a coin and rolls a number cube with sides labeled 1, 2, 3, 4, 5, and 6. After 90 trials of the experiment, the relative frequency of flipping heads and rolling a number less than 3 is 2/15 . What is the difference between the number of expected outcomes and the number of actual outcomes?

Answers

The difference between the number of expected outcomes and the number of actual outcomes is 1/30.

What is the difference?

The expected outcome of flipping heads and rolling a number less than 3 = probability of flipping a head x probability of rolling a number less than 3

Probability of flipping a head = number of sides that are heads / total number of sides = 1/2

Probability of rolling a number less than 3 = number of sides that are less than 3 / total number of sides = 2/6 = 1/3

The expected outcome = 1/2 x 1/3 = 1 /6

The difference =

[tex]\frac{1}{6} - \frac{2}{15}[/tex]

[tex]\frac{15 - 12}{90}[/tex] = [tex]\frac{3}{90}[/tex] = [tex]\frac{1}{30}[/tex]

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a survey of 69 people in kansas city gave the following results: 26 were fans of the kansas city chiefs 36 were fans of the kansas city royals 43 were fans of the sporting kansas city 18 were fans of the chiefs and royals 13 were fans of the chiefs and sporting kc 20 were fans of the royals and sporting kc 6 were fans of none of these teams. how many people were fans of the chiefs or royals but not sporting kc?

Answers

17 people were fans of the Chiefs or Royals but not Sporting KC.

What is algebra ?

Algebra is a branch of mathematics in which letters and symbols are used to represent numbers and quantities in equations and formulas. The basic operations of algebra include addition, subtraction, multiplication, and division, as well as the manipulation of exponents and roots.

Have given ,

26 people were fans of the Kansas City Chiefs

36 people were fans of the Kansas City Royals

18 people were fans of both the Chiefs and the Royals

13 people were fans of the Chiefs and Sporting KC

20 people were fans of the Royals and Sporting KC

6 people were fans of none of the teams

The principle of inclusion and exclusion says that the number of people who are fans of the Chiefs or the Royals but not Sporting KC is:

(26 + 36) - (18 + 13 + 20) + 6 = 62 - 51 + 6 = 17

So, 17 people were fans of the Chiefs or Royals but not Sporting KC.

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On a certain hot​ summer's day, 560 people used the public swimming pool. The daily prices are $1. 50 for children and $2. 00 for adults. The receipts for admission totaled $991. 0. How many children and how many adults swam at the public pool that​ day?

Answers

If the daily prices are $1.50 for children and $2.00 for adults , then the number of adults swam at public pool is 302  and number of children who swam at public pool is 258  .

let the number of children swam at swimming pool be = c ;

let the number of adults swam at swimming pool be = a ;

the total number of person who used the swimming pool is = 560 ;

the equation is ⇒ c + a = 560 ...equation(1) ;

the price for 1 child is $1.50 and price for 1 adult is = $2 ;

the total money collected can be written as :

= (price of children tickets)×(number of children that swam)+(price of adults tickets)×(number of adults that swam) ;

⇒ 1.5c + 2(560 - c) = 991  ;

⇒ 1.5c + 1120 - 2c = 991 ;

⇒ -0.5c = 991 - 1120  ;

⇒ -0.5c = -129 ;

⇒ c = 129/0.5 = 258 ;

So , adults (a) = 560 - 258 = 302 ;

Therefore , the number of adults are 302 and number of children are 258 .

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A parking lot is 80 feet wide by 120 feet long. If the length and width are increased by the same length, what polynomial represents the area of the new lot? What is the new area of the increase is 25 feet?

Answers

The polynomial that represents the area of the new lot is x² +200x +9600 and the new area of the increase is 25 feet is 15225 ft²

What is Polynomial?

A polynomial is an expression made up of variables (also known as indeterminates) and coefficients that only employs the addition, subtraction, multiplication, and non-negative integer exponents of the variables.

A single variable, x, is used as the only variable in the indeterminate polynomial x² - 4x + 7. Polynomials are used in many areas of science and mathematics.

They are employed in calculus and numerical analysis to approximate other functions, as well as in the definition of polynomial functions, which are used in a variety of fields, from basic chemistry and physics to economics and social science.

Simple word problems to sophisticated scientific conundrums can all be  represented using polynomial equations.

Polynomials are used to create algebraic varieties in higher mathematics.

Area = Length x Breadth

Area =(80 + x)x(120 + x) = x² +200x + 9600

Area = (80 + 25)x(120 + 25) = 105x145

Area = 15225 ft²

Therefore, the new area of the plot is 15225 ft²

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find the lenght of an edge of the cube with a volume of 72 cubic centimeters

Answers

The formula for a cube's volume is L * W * H.But because it is a cube, its length, breadth, and height are all equal and correspond to one of the cube's edges. The answer is 2.7 equals 3 centimeters.

Find the length of an edge of the cube ?

The formula for a cube's volume is L * W * H.But because it is a cube, its length, breadth, and height are all equal and correspond to one of the cube's edges.Finding the cube root of the volume will allow you to determine the length of a cube's edge.

A cube's edge measures 3 centimeters in length and has a volume of 27 cubic centimeters.

Six square faces make up the three-dimensional shape of a cube.

It has 12 edges and 8 vertices.

Volume of a cube is equal to the length of an edge3

In order to calculate the length of an edge, the cube root of the cube's volume must be known if the cube's volume is given.

Find the cube root of 27 to get the length of an edge.

2.7 equals 3 centimeters

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The table shows some ordered pairs that belong to quadratic function h. What is the range of h?

Answers

Answer:

The range of a function is the set of all possible outputs (or y-values) of the function. To find the range of h, we can look at the y-values in the table.

The y-values for h(x) are: -27, -13, -3, 3, 5, 3, -3

The range of h is the set of all these y-values. We can see that the lowest y-value is -27 and the highest y-value is 5. So, the range of h is {-27,-13,-3,3,5}

Therefore, the range of h is from -27 to 5.

$4700 accumulating to $5994.76, compounded monthly for 5 years. What is the interest rate %

Answers

Answer:

48.76%

Step-by-step explanation:

Compound interest describes interest on the principal plus interest.

Compound Interest Formula

The formula to find compound interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex]. In the formula:

A is the total amount, P is the principal, r is the rate as a decimal, n is how often interest is compounded,t is time.

We can plug in our information to find the rate.

Solving For Interest Rate

First, let's rewrite the equation with our information. Note that for simplicity I will write rounded values for each step, but in reality, no rounding should be done until the last step.

[tex]5994.76 = 4700(1+\frac{r}{12})^{12*5}[/tex]

Then, simplify the exponent and divide both sides by 4700.

[tex]1.275=(1+\frac{r}{12} )^{60}[/tex]

Take the 60th root of both sides.

[tex]1.004=(1+\frac{r}{12} )[/tex]

Subtract 1 from both sides.

[tex]0.004063=\frac{r}{12}[/tex]

Finally, multiply both sides by 12.

r = 0.04876

This means that the rate is 0.04876. We can multiply this by 100 to get the rate as a percentage. The interest rate is 48.76%.

Solve for c.
a−b+c‾‾‾‾‾‾‾‾‾√=3
A. c=3−a+b
B. c=9−a‾√+b‾√
C. c=3−a‾√+b‾√
D. c=9−a+b

Answers

Answer:

The correc answer is Option A.

то 13.) Solve the right triangle. Round answers to the nearest tenth. To receive full credit you must show all work. R S 57° 15 T RT = RS= m/T=

Answers

Answer:

RT = 17.9

RS = 9.7

m<T = 33°

Step-by-step explanation:

sin R = opp/hyp

sin R = ST/RT

sin 57° = 15/RT

RT = 15/sin 57°

RT = 17.9

cos R = adj/hyp

cos R = RS/RT

cos 57° = RS/17.88544939

RS = 17.88544939 × cos 57°

RS = 9.7

m<R + m<S + m<T = 180°

57° + 90° + m<T = 180°

m<T = 33°

a and b are parallel. Find the missing angles.​

Answers

Step-by-step explanation:

....................

Answer:

Step-by-step explanation:

top=125 degrees

second from the top= 55 degrees

3rd=35 degrees

4th=55 degrees

5th=125 degrees

How much interest will you pay over the life of a $220,000 30-year loan at 8 percent with monthly payments of $1,614.28?

Answers

The total interest that will be paid over the life is $5,28,000. The solution has been obtained using arithmetic operations.

What are arithmetic operations?

For all the real numbers, there are four basic mathematical operations which are:

1. Addition(‘+’) wherein the sum of the numbers is obtained.

2. Subtraction(‘-’) wherein the difference of the numbers is obtained.

3. Multiplication(‘×’) wherein the product of the numbers is obtained.

4. Division(‘÷’) wherein the quotient of the numbers is obtained.

We are given 30 year loan amounting $220,000 at interest rate of 8 percent with monthly payments of $1,614.28.

The annual interest comes out to be

8% of $220,000 = $17,600

The total interest = $17,600 * 30 = $5,28,000

Hence, the total interest that will be paid over the life is $5,28,000.

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Which inequality represents the situation?

Tori lives less than 3 miles from the school.

a.

c.

t<3

t> 3

ts3

tz3

b.

Answers

An  inequality represents the situation is: t < 3

The correct answer is an option (a) t < 3

We know that an inequality is a mathematical statement that represents the inequalities between two algebraic expressions with two variables .

It is an unequal relation between two algebraic expressions.

The symbols used between the expression:

less than ‘<’,

greater than ‘>’,

less than or equal to ‘≤’

greater than equal to ‘≥’,

Let t represents the distance between Tori's house and the school.

Tori lives less than 3 miles from the school.

This means, the distance t is less than 3 miles

so, we get an inequality t < 3

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I NEED HELP WITH THIS ASAP
I am really struggling with this:

Answers

The region is function determining the total sales and the number of boxes covered to make the desired sale. The inequality representing the function is f(b) ≤ 3.75b + 25.

What are inequalities?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal. But several inequalities are utilized to compare the values and determine whether they are less than or higher than.

a. The region represents the function determining the total sales and the number of boxes covered in order to make the desired sale.

b. The inequality that represents the area under the graph up until the point of intersection is given by:

f(b) ≤ 3.75b + 25

The less than equal to sign is used, as the area used lies below the curve.

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Solve for t

18,000=9000(1.003)^12t

Answers

Answer:

t=1.92938456

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Label each item as factor by grouping or factor using substitution.

To factor a trinomial of the form
ax 2 + bx + c, find a factor pair of ac
that has the sum of b. Rewrite bx as a
sum of those factors. Then factor out
the GCF from the two groups of terms
to write the original trinomial as the
product of two binomials.

Answers

Answer:

To factor a trinomial of the form ax^2 + bx + c, you can use the following steps:

Step-by-step explanation:

To factor a trinomial of the form ax^2 + bx + c, you can use the following steps:

Find a factor pair of ac that has the sum of b. For example, if a = 2, b = -7, and c = -21, then the factor pair for -42 (2 * -21) that has the sum of -7 is (-7, -6).

Rewrite bx as a sum of those factors. In the example, -7x = -7x + (-6x).

Factor out the GCF (greatest common factor) from the two groups of terms. In the example, (2x - 7)(x - 6) = 2x(x - 6) - 7(x - 6) = 2x^2 - 14x + 12x - 42 = 2x^2 - 2x - 42.

Write the original trinomial as the product of two binomials. In the example, the trinomial 2x^2 + -7x + -21 can be factored as (2x - 7)(x - 6)

So the final factorization is (2x - 7)(x - 6)

a father wants to divide rs 200 into two parts between two sons such that by adding three times the smaller part to half of the larger part, then this will always be less than rs 200. how will he divide this amount?

Answers

The sum of money that can be divided between two parts = Rs 200

Adding three times the smaller part to half of the larger part then its will always be less than Rs 200

Let The smaller part = Rs S

The larger part = Rs L

The sum of parts = Rs 200

Larger + Smaller = Rs 200

L+S=200---------------(1)

And, Adding three times the smaller part to half of the larger part then the result will always be less than Rs 200

(3S+1/2× L)-200 = 0

3S+ L/2=200                    

6S+L=400 --------(2)

Solving eq 1 and eq 2

(6S+L)-(L+S)=400 - 200

(6S-S )+(L-L )=200

5S+0=200

S = 200/4

∴Smaller = S=Rs40

Now, Plug the value of S into eq 1

L+S = Rs 200

L+40 = Rs 200

L = 200 - 40

L = Rs 160

Larger = L= Rs160

Hence, the larger part is Rs 160 and the smaller part is Rs 40      

To know more about the system of equations:

https://brainly.com/question/13729904

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The equation, 3(3x - 10) = 5(x +10) shows the relationship between the perimeter of an equilateral triangle and the perimeter of a regular pentagon.What is the perimeter of the pentagon?


The equation, 3(3x - 10) = 5(x +10) shows the relationship between the perimeter of an equilateral triangle and the perimeter of a regular pentagon.What is the perimeter of the pentagon?


100


20


50


150

Answers

the answer would be 20 if looking for x ! good luck !
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