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3 years ago

12

al's auto shop charges $80 for parts and $20 per hour of labor for repair job. Ednas engine repair charges $95 for parts and $15

per hour of labor for the same job. Write a system of equations to represent the situation.

1 answer:

Alekssandra [29.7K]3 years ago

3 0

Y= 20x + 80
y= 15x + 95

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Given the function f(x)=x^2-8x+13f(x)=x, determine the average rate of change of the function over the interval −1≤x≤6.

Ann [662]

Given:

Consider the given function is:

$f(x)=x^2-8x+13$

To find:

The average rate of change of the function over the interval $-1\leq x\leq 6$ .

Solution:

The average rate of change of the function f(x) over the interval [a,b] is:

$m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}$

We have,

$f(x)=x^2-8x+13$

At $x=-1$ ,

$f(-1)=(-1)^2-8(-1)+13$

$f(-1)=1+8+13$

$f(-1)=22$

At $x=6$ ,

$f(6)=(6)^2-8(6)+13$

$f(6)=36-48+13$

$f(6)=1$

Now, the average rate of change of the function f(x) over the interval $-1\leq x\leq 6$ is:

$m=\dfrac{f(6)-f(-1)}{6-(-1)}$

$m=\dfrac{1-22}{7}$

$m=\dfrac{-21}{7}$

$m=-3$

Therefore, the average rate of change of the function f(x) over the interval $-1\leq x\leq 6$ is -3.

6 0

3 years ago

Patty's Pies made 2 peach pies using 10 cups of peaches. They made 3 pies using 15 cups of peaches and 4 pies using 20 cups of p

Ivan

It would be 45 cups because each number is multiplied by 5
2 x 5 = 10
3 x 5 = 15
4 x 5 = 20
9 x 5 = 45

7 0

3 years ago

Question 2(Multiple Choice Worth 1 points) (06.01) Solve 2x + 5y = −13 3x − 4y = −8 (4, 1) (−4, 1) (4, −1) (−4, −1)

dlinn [17]

ANSWER

The solution is
$(-4,-1)$

EXPLANATION

The given equations are:

$2x + 5y = - 13...(1)$

and

$3x - 4y = - 8...(2)$

We multiply equation 1 by 3 to get,

$6x + 15y = - 39...(3)$

We multiply equation 2 also by 2 to get,

$6x - 8y = - 16...(4)$

We subtract equation 4 from equation 3 to get,

$23y = - 23$
This implies that,

$y = - 1$

We put this value of y into any of the equations say equation 2

$3x - 4( - 1) = - 8$
Simplify

$3x + 4 = - 8$
Group like terms
$3x = - 8 - 4$
Simplify,

$3x = - 12$

Divide both sides by 3 to get,

$x = - 4$

Therefore the solution is
$(-4,-1)$

The correct answer is option D.

3 0

3 years ago

Meredith invested $5,500 into an account that earned 5% interest per year. When she cashed out the investment to use it as a dow

Andrej [43]

Answer: B. $7739.05=5500(1.05)^t$

Step-by-step explanation:

The formula to find the compound amount (compounded yearly):-

$A=P(1+r)^t$ , where P is the principal amount invested, is the rate of interest and t is time period.

As per given , we have

P=$5500 , r=5% = 0.05 and A = $7,739.05.

Substitute all the values in the formula , we get

$7739.05=5500(1+0.05)^t$

$7739.05=5500(1.05)^t$

Hence, the equation describes Meredith's investment based on t, the number of years she kept the account open : $7739.05=5500(1.05)^t$

5 0

3 years ago

Identify the mapping diagram that represents the relation and determine whether the relation is a function. {(–8, –6), (–5, 2),

SashulF [63]

Do you have the answer options? Sorry, can't answer without them ):

8 0

3 years ago

Read 2 more answers