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svetoff [14.1K]
2 years ago
8

An electrician charges a $100 flat fee, plus $75 per hour to work on a house.

Mathematics
1 answer:
jek_recluse [69]2 years ago
8 0

Answer:

y=75x+100

Step-by-step explanation:

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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
I need help ASAP <br> Show your work: x - 8 = 12
choli [55]

Answer:

x = 20  

Step-by-step explanation:

x - 8 = 12                          Add 8 to both sides

x -8 + 8 = 12 + 8               Add -8 and 8; add 12 and 8

x = 20                      

6 0
2 years ago
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5TH GRADE LEVEL QUESTION: Look at photo and list it step by step GIVING OUT BRAINLIEST.
jasenka [17]

Answer:

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(3+16)-7

19-7

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3 years ago
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Luden [163]

Answer:

Decreased

Strong negative

Step-by-step explanation:

The correlation Coefficient is used to show the strength and type of relationship which exists between the dependent and independent variable. The correlation Coefficient value ranges from - 1, to 1. With values closer to either - 1 or 1 depicting a strong relationship while those closer to 0 represents weak relationship. And correlation Coefficient of 0 indicates that no relationship exiata at all. Depending in the sign, that is positive or negative, positive sign means positive relationship while a negative sign represents a negative association. Positive association is interpreted as, for every increase in A, Variable B also increase and vice versa. For negative association, When A increases, B decreases and vice versa

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The 1st , 3rd , 5th and 6th apply
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