Last month the price of one pound of carrot was $2 1/5 and joe sold 12 1/12

Using equations to solve the word problem, Katherine's age is 8 years

Word problem are often mathematical problem that are represented in words and sometimes can be solved using an equation.

To solve this problem, we have to represent the problem using mathematical equations;

Let;

Katherine's age = x²

Alexandra = 5(x + 1)

Sum of their age = 109

5(x + 1) + x² = 109

5x + 5 + x² = 109

x² + 5x - 104 = 0

Solving for the equation; x = 8

Katherine's age is 8

Learn more on word problem here;

https://brainly.com/question/13818690

#SPJ1

Answer: 11

Step-by-step explanation:

9(2) - 4 - 5(2) + 7
18 - 4 - 10 + 7
14 - 10 + 7
4 + 7
11

The values of x after solving the quadratic equation x²+14x-1 , using completing the square method is -√50-7 or +√50-7.

A Quadratic equations is second-degree algebraic expressions and is of the form ax² + bx + c = 0.

Uisng the method of completing the square to solve the equation below, we following the steps.

Equation ⇒ x²+14x-1 = 0

Step 1:

Take the constant to the other side of the equation

Step 2:

Find half the coefficient of x, square, and  add it to both side of the equation.

There,

Step 3:

Express the trinomial on the left side as a square of binomial

Step 4:

Take the square root of both side.

Step 5:

Make x the subject of the equation by moving 7 to the other side of the equation

Step 6:

Seperate the expression for each value of x

Hence, the value of x is  -√50-7 or +√50-7.

Learn more about quadratic equation here: https://brainly.com/question/25841119

#SPJ1

Answer:

Below

Step-by-step explanation:

I think you will need to be more specific, but it could be

3  8  8   12     or something like    2  8  8  11    or    1  8  8  10    etc

Answer:

and data pro is the best solution assumption that you are a very important thing to me and I am not sure what to do with my

Answer:

this is the answer

Step-by-step explanation:

c² = a² + b²

c = √a²+b²

Answer:

-5/12

Step-by-step explanation:

Answer: 3 1/12

Step-by-step explanation: First We Would Do 2 1/2 + -7/6 First. We Would Get 1 1/3 Because We Change The Mixed Fractions Into Improper Fractions. So We Would Do 5/2 + - 7/6. We Would Then Find A Common Denominator Which Would Be 12. So 7/6 Would Be 14/12 & 5/2 Would Be 30/12. If You Did The Math Correctly You Would Get 1 1/3. Now 1 1/3 - 1 3/4 Would Be 3 1/12. You Would Change The Fractions To Improper Fractions And Then Subtract. You Would Also Need To Find The Common Denominator Which Is 12.

Hoped This Helped!

Answer: Your answers are Y = 1 and X = 5

Step-by-step explanation:

y=x-4 y=-x+6 Substitute x - 4 for y in y=-x+6 x-4=-x+6Add X on each side x-4+x =-x+6+x 2x - 4 = 6Add 4 on each side 2x-4+4 = 6+4 2x = 10Divide by 2 on each side 2x ÷ 2 = 10 ÷ 2 x = 5 Now we have X To find Y we substitute 5 for x in y= x-4 y = 5 - 4 y = 1 so you answers would be Y= 1 and x = 5 i hoped this helped:)

The linear function for the given graph is y = x + 20.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function. It has one independent variable and one dependent variable. For slope (m) and y-intercept (b) form, the equation is given by:

y = mx + b

From the graph,

The coordinates of the given graph are (0,20) and (20,40)

Then, slope (m) = (40-20)/(20-0) = 20/20 = 1

and y-intercept (b) = 20

So, the equation will be y = 1x + 20

Hence, the linear function for the given graph is y = x + 20.

To learn more about a linear function

https://brainly.com/question/29213103

#SPJ1

Answer:

A - 36 degrees

Step-by-step explanation:

117 - 81, to find another angle when given the outside of the triangle and another part of the triangle, all you have to do is subtract

The first number is 80% of the second number, not 75%, hence, Brad is wrong.

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, a second number is 125% of the first number.

Let the first number be 100, then the second number will be:

125% of 100

= (125/100) × 100

= 125

Now, divide the first number, 100, by the second number, 125, and then multiply with 100 to know how much % the first number is of the second number:
(100/125) ×100%

=80%

Therefore, the first number is 80% of the second number, not 75%.

Hence, Brad is wrong.

Learn more on percentages here:

https://brainly.com/question/14979505

#SPJ1

Answer:

294 days

Step-by-step explanation:

Multiply 42 x 7 and you've got 294 days, which will be your answer.

For the given function, h(x) = x² - 1, over the interval -3 ≤ x ≤ -1, the average rate of change is 4.

A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

The given function is,

h(x) = x² - 1, and the interval is -3 ≤ x ≤ -1.

To find average rate of change for the function,

Use formula,

Average rate of change = [tex]\frac{h(b)- h(a)}{b-a}[/tex]

h(b) = h(-1) = (-1)² - 1 = 0

h(a) = h(-3) = (-3)² - 1 = 8

Rate of change = [tex]\frac{8 - 0 }{-1 - (-3)}[/tex]

                          = 8 / 2

                          = 4

The average rate of change is 4.

To know more about Function on:

https://brainly.com/question/2411204

#SPJ1

Nina's mother and grandmother will each owe $12 if she walks 12 miles

What is an equation ?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

Standard form, slope-intercept form, and point-slope form are the three main types of linear equations.

According to the question we get to know

mother = 12

Grandmother = x

12 = x

x = 12

$ 12 , she walks 12 miles

To learn more about an equation from the given link  

https://brainly.com/question/18831322

#SPJ1

A gallon of Mexican wine have a price of 433.13 Mexican pesos.

Herein we know that 0.8 liters of Mexican wine have a cost of 99 pesos and we need to determine the price for a gallon of the same beverage, that is, 3.5 liters. The price for a gallon can be determined by cross multiplication:

x = 99 MXN × (3.5 L / 0.8 L)

x = 433.13 MXN

A price of 433.13 Mexican pesos must be paid for a gallon of Mexican wine.

To learn more on cross multiplications: https://brainly.com/question/15209325

#SPJ1

$336.87 is the interest they being charged during the first month on their mobile home loan of $74,860.00

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Debt ratio increased, causing their credit score to drop from excellent rate of 5.75% to good rating of 6.20%.

We need to find interest they being charged during the first month on their mobile home loan of $74,860.00.

The difference is percentage is 6.0-5.75

0.45%

0.45% of $74,860.00

0.45/100×74,860.00

336.87

Hence, $336.87 is the interest they being charged during the first month on their mobile home loan of $74,860.00

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

Answer:

4 hours and 30 minutes.

Step-by-step explanation:

You count, 4, 5, 6, 7, 8, then you take the 30 from 4:30 and add another 30 to it to make it five. 5+4=9 or 4.5 + 4.5=9. (In this case, 30 is half of an hour, hence the 4.5 instead of 4.3).

Answer:

5 hours and 10 minutes.

Step-by-step explanation:

9:00 minus 4:30 = 4:70.

4:70 = 5 hours and 10 minutes.

Answer:

Step-by-step explanation: I think it is 'b' too (sorry if wrong)

Answer:

which one substitution or elimination

Step-by-step explanation:

Substitution: (-1,-3 )

Elimination: (-1,-3)

i hope this helps you :)

Please mark me brainlest

Answer:

1:4

Step-by-step explanation:

Ratio of 40 to 10 = 40:10 = 4:1 (after reducing 40:10 to lowest form). Hence, ratio of 40 to 10 is 4:1.

Answer:

64

Step-by-step explanation:

We can solve this using PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). We do parentheses first, then exponents, all the way down to subtraction:

1. Parentheses

(1 + 3)³ -(2)2 + 4

4³ - (2)2 + 4

(By the way, (2)2 is considered multiplication not parentheses).

2. Exponents

4³ - (2)2 + 4

64 - (2)2 + 4

3. Multiplication

64 - (2)2 + 4

64 - 4 + 4

4. Division

None.

5. Subtraction

(Even though PEMDAS is labeled as addition before subtraction, in the MD | AS part, whichever one comes first in either section of the equation goes first):

64 - 4 + 4

60 + 4

6. Addition

60 + 4

64

Solution:

64

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

As below it is described what is exponential function with some examples.

A function is simply a “mapping” between 2 sets of objects (usually numbers but they could really be anything) such that, every object in the first set (the domain) is mapped to a single object in the second set. What you usually see as examples of functions (e.g. f(x)=x²) actually define the relationship between the sets. This is what I mean by “mapping”. Often, we don’t explicitly state what the sets are, because it’s understood from the context, but technically, it’s not a function unless we state the sets. E.g., instead of saying f(x)=x², we should say f:x↦x²|x∈ℂ (pronounced “f maps x to x² such that x is a complex number”), meaning that we map the complex numbers to themselves using the rule that we square each input. You can define it differently, so that, for example, we map complex to reals. However, and this is important, that would be a different function, even though the “rule” for turning inputs into outputs is the same.

Exponential Function:

Exponential functions are functions of the form f(x) = b^x where b is a constant.

The real mathematical importance of exponential functions is in their being proportional to their derivatives meaning the bigger x is, the steeper the slope of the function. This means they grow extremely fast: exponentially fast.

A common example of exponential growth is a bacterial population. Since bacteria reproduce rapidly by mitosis, for every bacterium in a culture, there will, before long be two bacteria. Thus, if I have 10 bacteria to start, one minute later I will have 20, and in another minute, each of those twenty will have reproduced and I will have 40; one minute later the same will have happened again and before long, the culture will be overrun with bacteria. The more bacteria there are, the more bacteria there are to make even more bacteria the next minute.

All exponential functions are proportional to their derivatives, but the function f(x) = e^x (where e = 2.718281828459…) is actually equal to its derivative meaning the y value of the function at a particular x value is equal to the slope of the curve at that same x value. Thus when dealing with exponential functions in calculus, e becomes a very natural number to use as a base. This is why e is such a big deal and why teachers try to introduce the number early on in Algebra 2, even though it doesn’t have much use at that point in one’s mathematical education.

When plotting an exponential curve by hand, one ought to simply pick whole number x values and multiply the base by itself an x number of times to calculate the corresponding y value. This will give a rough plot of the graph of the curve, although a calculator is requires to plot the points not on whole number x values. The curve of simple exponential functions is always increasing and concave up, or vice versa for b^-x. For a positive exponential function like f(x) = e^x, as x approaches ∞, f(x) approaches ∞, and as x approaches -∞, f(x) approaches 0. The curve has no absolute maximum or minimum value and has a horizontal asymptote at y = 0.

To learn more about Exponential Function, Visit:

https://brainly.com/question/14355665

#SPJ4

Answer:

no

Step-by-step explanation:

your questions are so tricky to pass

Answer:

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2} \\4^{2} +b^{2} = (\sqrt{52} )^{2} \\16 + b^{2} = 52\\b^{2} =36\\\sqrt{b^2} =\sqrt{36} \\b=6\\[/tex]

One of the possible x-values of point F will be 6 units to the right of point G. So, the x-value of point F could be 7, since 1+6=7. That means one possible location of point F is (7,8).

The other possible x-value of point F will be 6 units to the left of point G. So, the x-value of point F could be -5, since 1–6=–5. That means the other possible location of point F is (–5,8).

So the answer is:

(7,8) and (-5,8)

The total distance travelled by Kyle is 210 m.

Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².

The given length of the field is 84 m.

And, the width is 35 m.

Now, the diagonal of the field can be calculated using Pythagoras theorem as below,

Diagonal = √((84)² +(35)²)

               = 91

Then, the total length is found by summing the length, width and the diagonal as below,

= 84 + 35 + 91

= 210

Hence, Kyle run for the distance of 210 m.

To know more about Pythagoras theorem click on,

https://brainly.com/question/343682

#SPJ1

The percentage of the increase in population is 4%

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

Initial population = 209000

New population = 2017360

The percentage of the increase is then calculated using the following percentage equation

Percentage increase = (New population  - Initial population )/Initial population  * 100%

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

Percentage increase = (217360 - 209000)/209000 * 100%

Evaluate

Percentage increase = 4%

Hence, the increase percentage is 4%

Read more about percentage increase at

https://brainly.com/question/11360390

#SPJ1

The equation in slope-intercept form to model the cost in dollars, y, for x refills is 3.50 = 2.50x + b.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given that movie theater sells popcorn in a reusable bucket for $3.50. They offer refills for $2.50 each.

The value of y  is popcorn cost = $3.50

The slope will be $2.50

Therefore, the equation is y = mx + b

Plug the values; y = 3.50 and m = 2.50

3.50= 2.50x + b

Hence, the equation in slope-intercept form to model the cost in dollars, y, for x refills is 3.50= 2.50x + b.

To know more about equation, click on the link

https://brainly.com/question/22688504

#SPJ1

Answer:[tex]t= -\frac{7}{2}[/tex]

Step-by-step explanation:

[tex]=t+\frac{3}{2}=-2\\=t=-2-\frac{3}{2} \\=t=-\frac{7}{2}[/tex]