1. Find the midpoint of the segment with the endpoints: (5,9) and (-7-7)

The input value that produces the same output value in both charts is 2.Option D is the correct answer.

What are functions ?

A mathematical expression which has two variables , one is dependent variable and the other is an independent variable.

Functions have wide usage and comes with a defined domain and range.

It is given in the question that there are two functions

Function(x) = -0.5x+2

g(x) = 2x-3

It has different values at different points.

The value at which both the functions have same value has to be determined.

To determine that lets equate both the functions

-0.5x +2 = 2x-3

2.5x = 5

x = 2

Therefore the input value that produces the same output value in both charts is 2, Option D is the correct answer.

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Answer:

Hence,  the input value that produces the same output for the functions represented by the tables is:

x=2

Step-by-step explanation:

We are given a function f(x) and  g(x) as:

and

Clearly the function g(x) and f(x) are linear function.

We have to find such input value that gives the same output value for the function.

i.e. we have to find x such that:

g(x)=f(x)

i.e. -0.5x+2=2x-3

⇒ 2x+0.5x=2+3

⇒ 2.5x=5

⇒ x=5/2.5

⇒ x=2

Hence,  the input value that produces the same output for the functions represented by the tables is:

x=2

Answer:

t=10

Step-by-step explanation:

3t + 15 = 45

3t = 30

t = 10

Answer:

t = 10

Step-by-step explanation:

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Answer:

The cost of each pound of walnuts is $1.25 and each pound of chocolate chips is $2.50

Step-by-step explanation:

Let,

x be the price per pound of walnuts

y be the price per pound of chocolate chips

According to given statement,

4x+8y=25     Eqn 1

2x+3y=10      Eqn 2

Multiplying Eqn 2 by 2

2(2x+3y=10)

4x+6y=20    Eqn 3

Subtracting Eqn 3 from Eqn 1

(4x+8y)-(4x+6y)=25-20

4x+8y-4x-6y=5

2y=5

Dividing both sides by 2

Putting y=2.50 in Eqn 2

2x+3(2.50)=10

2x+7.50=10

2x=10-7.50

2x=2.50

Dividing both sides by 2

Hence,

The cost of each pound of walnuts is $1.25 and each pound of chocolate chips is $2.50

Answer:

27°

Step-by-step explanation:

I have answered this question before and I got it right. I hope this helped for you too.