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2 years ago

I need this before the 24th! 100 points!

Mathematics

1 answer:

Anestetic [448]2 years ago

6 0

Answer:

The interval is [4,7]

Step-by-step explanation:

The rate of change is given by

f(x2) - f(x1)

-------------------

x2 -x1

We want the rate of change to be 56

f(x2) - f(x1)

------------------- = 56

x2 -x1

We also know that the x2 is 7 so f(x2) = 192

192 - f(x1)

------------------- = 56

7 -x1

192 - f(x1) = 56( 7 -x1)

192 - f(x1) = 392 -56x1

Now we need to pick points from the table and see where it is true

(6,96)

192 - 96 = 392 -56*6

96=56 False

( 5,28)

192 - 28 = 392 -56*5

164=112 False

(4,24)

192 - 24 = 392 -56*4

168=168 True

The interval is [4,7]

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3 years ago

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UkoKoshka [18]

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2 years ago

Read 2 more answers

From the top of a tower, an object which is 97 m away from the base of the tower, is at a 37° angle of depression.

mario62 [17]

<h3>Answer: 73</h3>

==================================================

Work Shown:

Check out the diagram below. Note the pair of alternate interior angles that are congruent (each 37 degrees). Then focus on triangle ABC. With the reference angle being at A, this means we use the tangent function because BC = x is the opposite side and AB = 97 is the adjacent side.

tan(angle) = opposite/adjacent

tan(A) = BC/AB

tan(37) = x/97

97*tan(37) = x

x = 97*tan(37)

x = 73.094742859971

For the last step, you'll need a calculator that can handle trig functions. Make sure the calculator is in degree mode. The result here is approximate. This rounds to 73 when rounding to the nearest whole number.