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Cerrena [4.2K]
2 years ago
13

Given f(x)= 17 – x^2, what is the average rate of change in f(x) over the interval [1, 5]?

Mathematics
1 answer:
Setler79 [48]2 years ago
5 0

Answer:

-6

Step-by-step explanation:

Average rate of change = \frac{f(b)-f(a)}{b-a} = \frac{(17-5^{2)}-(17-1^{2})  }{5-1} = -6

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What is the equation of the line that passes through the point (5, 4) and is perpendicular to the line whose equation is 2x + y
konstantin123 [22]

So a line that is perpendicular is a line that intercepts other line at a 90 degree angle.

Slope of perpendicular lines is the opposite sign and the reciprocal of the other.

So if your slope was 2 the perpendicular line would have a slope of -1/2.

So the equation, 2x + y = 3

Can be rewritten as

y= -2x+3

Perpendicular slope: 1/2

Since it intercepts/ passes the coordinates (5,4) it means that those values are included in the function input x and output y.

y=mx+b

4=1/2(5)+b

Solve for b (y intercept)

4-2.5=b

1.5=b

So the equation of the perpendicular is

y=1/2x+3/2 or y=.5x+1.5

8 0
3 years ago
I posted this 575322 times pls help
hodyreva [135]

Answer:

Step-by-step explanation:

5 0
4 years ago
I have the answer, I just need to explain how I got it. Please help!
Gnoma [55]

Answer:

<h2>Table 2 is correct, you have it wrong</h2>

Step-by-step explanation:

The way we determine if ratios are equivalent is by a proportion. It also helps to know that a foot is 12 inches, so you have the wrong answer. The correct answer is table 2. The way we solve is by dividing the number of inches by 12 to see if we get the number of feet specified on the table.

24/12 = 2

60/12 = 5

72/12 = 6

84/12 = 7

All of these match up to their respective foot measurements.

6 0
3 years ago
Plz help me get the right answer to these
adoni [48]

-8(-4) + y = 37

32 + y = 37

y = 5

when x = -4, y = 5

7 0
3 years ago
Read 2 more answers
Can someone please help me with this?
Anettt [7]

Answersorry

Step-by-step explanation:sorry idk

7 0
4 years ago
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