Anyone know where I can get the awsners for these? The top of the paper says ACT Skills Prep, Week 1

The profit function is P(x) = −0.5x² + 40x - 100

From the question, we have the following equations that can be used in our computation:

Cost function, C(x) = 50x + 100

Revenue function, R(x) = −0.5(x − 90)² + 4050

The profit function is the difference between the revenue and the cost

So, we have

P(x) = R(x) -CP(x)

Substitute the known values in the above equation, so, we have the following representation

P(x) = −0.5(x − 90)² + 4050 - 50x - 100

Evaluate the like terms

P(x) = −0.5(x − 90)² - 50x   + 3950

Expand

P(x) = −0.5(x² − 180x + 8100) - 50x   + 3950

Expand

P(x) = −0.5x² + 90x - 4050 - 50x   + 3950

Evaluate the like terms

P(x) = −0.5x² + 40x - 100

In (a), we have

P(x) = −0.5x² + 40x - 100

Using a graphing calculator, the reasonable domain is

3 < x < 75

So, the domain is 3 < x < 75

Here, we have

x = 40 or 50

So, we have

P(40) = -0.5(40)² + 40(40) - 100 = 700

P(50) = -0.5(50)² + 40(50) - 100 = 650

In (d), we have

P(40) = 700

P(50) = 650

This means that the profit reduces as they produce more

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Answer:

2 6\7

Step-by-step explanation:

Solution Error in measurement = 1.8-1.75m =+0.05mPercentage error. = error ÷true value ×100 =+ 0.05÷1.75×100 =+ 5÷1.75 = +20÷7 =+ 2 6\7

the probability of getting a king or a spade is 30.7%.

What is probability?

Simply put, probability measures how probable something is to occur. The probability formula can be used to calculate the likelihood of an event by simply dividing the favorable number of possibilities by the total number of options. The likelihood of an occurrence might vary from 0 to 1 because the favourable number of outcomes can never be greater than all possible outcomes.

The formula for calculating the probability of an event is

Probability of an event = Favorable outcomes/Total number of outcomes.

Favorable outcomes = 16 {13 spade cards which include one king and the remaining 3 king cards.}

The total number of outcomes = 52.

Probability of choosing a king or a spade= 16/52 = 8/26 = 4/13=0.307

Hence, the probability of getting a king or a spade is 30.7%.

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An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The total amount spent on the ingredients is

80x + 30y + 5z

Where x is the amount of flour, y is the amount of tomatoes and z is the cost of Mozzarella per kg.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Ingredients    Amount       Cost per kg

Flour               x                   $80

Tomatoes       y                   $30

Mozzarella      5                    $z

The total amount spent on the ingredients can be given by the expression.

= 80x + 30y + 5z

Where x is the amount of flour, y is the amount of tomatoes and z is the cost of Mozzarella per kg.

Thus,

The total amount spent on the ingredients is

80x + 30y + 5z

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Answer:

C=0.8x+3.3y+0.5z

Step-by-step explanation:

khan

you`re welcome :)

Answer:

a) [-9,8)

b) [-5,5]

c) (-4,0), (1,6)

d) [-9,-4), (6,8)

e) [0,1]

f) just the y-value: 5;  as a point: (-8,5)

g) just the y-value: -5;  as a point: (-4,-5)

Step-by-step explanation:

a) Domain is all of the x-values that are defined in the function. The smallest x-value in the graph is -9, and the largest is 8. And all values in between are defined (have corresponding y-values). But notice that there's an open dot on (8,0).

b) Range is found the same way as Domain, but with the y-values. The smallest y-value of this function is -5, and the largest is 5.

For c-e, notice where the graph changes direction and draw a vertical line from the x-axis through the turning point. These lines are the boundaries between intervals of increasing/decreasing/constant. You should have vertical lines at x=-4, x=0, x=1, and x=6.

c) Interval(s) on which f(x) is increasing: Reading the graph from Left To Right, between which vertical lines is the graph going up?

d) Interval(s) on which f(x) is decreasing: Reading the graph from Left To Right, between which vertical lines is the graph going down?

e) Interval(s) on which f(x) is constant: Reading the graph from Left To Right, between which vertical lines is the graph staying flat?

f) Look for the highest non-infinity point on the graph

g) Look for the lowest non-infinity point on the graph

Answer:

60

Step-by-step explanation:

16(3)+12

=48+12

=60

Answer:

60

Step-by-step explanation:

Answer:

2.475

Step-by-step explanation:

Answer:

2.475

Step-by-step explanation:

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Answer:

Step-by-step explanation:

The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

Transformation techniques

Transformation is the process of changing the position of an object on the xy-plane.

Given the parent function

f(x) = 4x

If the function is not reflected over x-axis, the resulting function will be f(x) = -4x

If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;

g(x) = 1/8(-4x)

g(x) = -1/2x

Hence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

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Part A: We can complete the model representing Sage's minutes by putting n and 7 in the box.

Part B: We can complete the model representing Tom's minutes by putting n and 7 in the box

Part C: An algebraic expression to represent the number of minutes Sage has left is S = n - 7, where S equals the remaining talk minutes for Sage and n is the initial number of talk minutes.

Part D. An algebraic expression to represent the number of minutes Tom has left is T = n - 7, where T equals the remaining talk minutes for Tom and n is the initial number of talk minutes.

Part E: Sage and Tom have the same number of talk minutes left on their cell phone plans because they started with the same amount and consumed the same amount at the end of the month.

An algebraic expression is a mathematical expression that consists of variables and constants, along with algebraic operations and equality or inequality symbols.

The basic algebraic operations include addition, subtraction, division, and multiplication.

Thus, algebraic expressions can be used to mathematically model or represent the number of minutes that Sage and Tom have left.

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Answer:

4

20

40

Step-by-step explanation:

Since the final line says 8 x 5, I know that the final answer is 40.

That means that the blank on the first line has to be 4

The second line is missing a 20 because 20 + 20 = 40

Answer:

48

Step-by-step explanation:

Start with 2 x 3 to get 6

then take 6 and multiply by -4 which is -24 (The negative stays from the four)

Last, take -24 and multiply by negative 2 to get 48. The negatives cancel out

Answer:

60 inches.

Step-by-step explanation:

There are 12 inches in one foot:

12 x 5 = 60

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Answer:

60 inches

Step-by-step explanation:

(5 feet) = [tex]\frac{12inches}{1foot}[/tex]  The word feet can cancel and you are left with

(5)(12 inches) = 60 inches.

Answer:

False

False

True

Step-by-step explanation:

Knowing that they are traveling 60 miles per hour, 60h is equivalent to how many miles they are traveling. When adding 300 you know that would be the a1 term going along the rules of sequences.

Therefore 60h is the rate of increase.

300 is the miles traveled on the first day.

With this information in mind we can now answer the True and false statements.

1. 5 represents the hours they drove on the first day, therefore 1 is a false statement.

2. 60 represents the mph they are traveling on the second day, therefore 2 is a false statement.

3. 300 represents the miles they traveled on the first day, therefore 3 is a true statement.

Answer:

false

false

true

the person above is correct :)

The linear equation we want to write is:

18*x = 109

And the solution is x = 6.06

Remember that the product between two numbers is just a multiplication A*B.

Here we know that the product of 18 and a number, is 109.

If we define the variable x as the number, then we can write the linear equation:

18*x = 109

Where the product between 18 and x is equal to the number 109.

Now, we want to find the value of x, to do that, we need to divide both sides of the equation by 18, then we will get:

18*x/18 = 109/18

x = 109/18 = 6.06

The solution of the linear equation is 6.06

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Answer:

LK = 5

LM ≈ 5.83

KM ≈ 7.28

NOT isosceles

Step-by-step explanation:

L(-7,4)

K(-4,8)

[tex]LK=\sqrt{(-7--4)^{2}+(4-8)^{2}}=\sqrt{(-3)^{2}+(-4)^{2}}=\sqrt{9+16}=\sqrt{25}[/tex]

M(-2,1)

[tex]LM=\sqrt{(-7--2)^{2}+(4-1)^{2}}=\sqrt{(-5)^{2}+(3)^{2}}=\sqrt{25+9}=\sqrt{34}[/tex]

[tex]KM=\sqrt{(-4--2)^{2}+(8-1)^{2}}=\sqrt{(-2)^{2}+(7)^{2}}=\sqrt{4+49}=\sqrt{53}[/tex]

Answer:

$6000

Step-by-step explanation:

200 dollars a week

spends 300 dollars every month

200 dollars*4 weeks in a month = 800 a month

800 dollars a month - 300 dollars spent every month = 500 remaining after each month

500 dollars a month remaining*12 months in a year = 6000 dollars left for other expenses in one year.

Hope this helps!

Answer:$6000

Step-by-step explanation:

there are 4 weeks in a month and he makes $200 a week so i multiplied it by 4 which equals $800 then i subtracted $300 for the monthly rent then i multiplied that by 12 and that got me to a total of $6000

Answer:

72 minutes

Step-by-step explanation:

you convert the 80% to decimal form so its now 0.80.

then you multiply how long the school play was (90) times the 'percentage' of how long the main character was on the stage (0.80).

90 times .80 is 72.

hope this helped:)

The other roots of the cubic equation p(x) = 24·x³ - 46·x³ + 29·x - 6 are;

x = 1/2

x = 3/4

A cubic equation is an equation  that has 3 as the highest index.

The specified polynomial in the question is presented as follows;

P(x) = 24·x³ - 46·x² + 29·x - 6

The solution of the equation is; x =  (2/3)

Therefore, (x - 2/3) is a factor of the equation and we get;

(24·x³ - 46·x² + 29·x - 6) ÷ (x - 2/3)  has a remainder of 0

Dividing the above expression using long division, we get;

                    24·x²  - 30·x + 9

(x - 2/3)  [tex]{}[/tex]     |(24·x³ - 46·x² + 29·x - 6)

               [tex]{}[/tex]     24·x³ - 16·x² + 29·x  - 6

                [tex]{}[/tex]              -30·x²

            [tex]{}[/tex]                   -30·x² + 20·x

                          [tex]{}[/tex]                      9·x - 6

                        [tex]{}[/tex]                        9·x - 6

The other real roots of the specified equation can be found as follows;

The equation for the roots is; P(x) = 24·x³ - 46·x² + 29·x - 6 = 0

From the above long division, therefore;

24·x³ - 46·x² + 29·x - 6 = (24·x²  - 30·x + 9) × (x - 2/3) = 0

Which indicates; (24·x² - 30·x + 9) = 0 or (x - 2/3) = 0

The other solution are;

24·x³ - 30·x + 9 = 0

3·(·8·x² - 10·x + 3) = 0

8·x² - 10·x + 3 = 0

Solutions for the above equation in the form; a·x² + b·x + c = 0 can be obtained using the quadratic formula as follows;

The quadratic formula; x = [tex]\dfrac{-b\pm\sqrt{b^2 - 4\cdot a\cdot c} }{2\cdot a}[/tex]

By comparing the equation, 8·x² - 10·x + 3 = 0 to the equation, a·x² + b·x + c = 0, we get;

a = 8, b = -10, and c = 3

Therefore;

x = (10 ± √((-10)² - 4 × 8 × 3))/(2 × 8)

((-10)² - 4 × 8 ×3) = 2

Therefore;

x = (10 ± √((-10)² - 4 × 8 × 3))/(2 × 8) = (10 ± 2)/(16)

x = 3/4, and x = 1/2

Therefore, the other other roots in increasing sequence are;

x = 1/2 and x = 3/4

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Answer:

5 to the power of 3 is 125, you get this b/c 5 times 5 is 25 & 25 times 5 is 125.

Answer:four-hundred-seventy-six

400+70+6

Step-by-step explanation:

four-hundred-seventy-six

400+70+6

Using elimination method, the solution of the equation is as follows:

System of equation can be solved using different method such as elimination method, substitution method and graphical method.

Therefore, let's use elimination method to solve the equation as follows;

x + 4y = 22

4x + y = 13

multiply equation (i) by 4 to eliminate variable x.

Therefore,

4x + 16y = 88

4x + y = 13

subtract equation(ii) from equation(i)

15y = 75

divide both sides by 15

y = 5

x = 22 - 4y

x = 22 - 4(5)

x = 22 - 20

x = 2

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The expression (p⁶ +q) + 8 is equivalent to the given expression. which is the correct answer would be an option (C).

The commutative property is associated with mathematical operations such as addition and multiplication. It indicates that switching the order or location of two integers while adding or multiplying them has no effect on the outcome. For example, 4 + 5 gives 9, and 5 + 4 also gives 9.

The expression is given in the question below as

p⁶ + (q + 8)

We have to determine the expression equivalent to the given expression.

As per the given question, we have

⇒ p⁶ + (q + 8)

Using the commutative property of addition, we get

⇒ (p⁶ +q) + 8

Thus, the expression (p⁶ +q) + 8 is equivalent to the given expression.

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Answer:

the answer for the expression -2[5+(-3)] is -4

Answer:

C (the one under the first graph)

Step-by-step explanation:

if x = 0

3 * 5^0

3 * 1

y = 3

$105

Earnings for 1 hour=165÷11=$15

Earnings for 7 hours=15×7=$105

Answer:

Your answer is $200

Step-by-step explanation:

[tex]500[/tex] × [tex]0.4 = 200[/tex]

The height of the triangle is 4.68 cm and base of the triangle is 21.36 cm.

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

Base of triangle is twelve more than twice its height.

Also, area of triangle = 50 square centimeters.

Let height of the triangle is x cm,

Therefore, the base of triangle will be 2x+12 cm.

The area of triangle = 50

1/2 × (2x+12) × x = 50

x (x+6) = 50

x² + 6x -50 = 0

By solving the equation,

x = -3 + √59 and -3 - √59

Length can not be negative,

Therefore, x = -3 + √59 or x = 4.68114

Height of triangle = 4.68 cm

Base of triangle = 21.36 cm

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