Using derivatives, it is found that the x-values in which the slope belong to the interval (-1,1) are in the following interval:
(-15,-10).
<h3>What is the slope of the tangent line to a function f(x) at point x = x0?</h3>
It is given by the derivative at x = x0, that is:
.
In this problem, the function is:
Hence the derivative is:
For a slope of -1, we have that:
0.4x + 5 = -1
0.4x = -6
x = -15.
For a slope of 1, we have that:
0.4x + 5 = 1.
0.4x = -4
x = -10
Hence the interval is:
(-15,-10).
More can be learned about derivatives and tangent lines at brainly.com/question/8174665
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<u>2x - 3</u> = <u>2x - 4</u>
2 - x 1 - x
(2x - 3)(1 - x) = (2x - 4)(2 - x)
2x(1 - x) - 3(1 - x) = 2x(2 - x) - 4(2 - x)
2x(1) - 2x(x) - 3(1) + 3(x) = 2x(2) - 2x(x) - 4(2) + 4(x)
2x - 2x² - 3 + 3x = 4x - 2x² - 8 + 4x
-2x² + 2x - 3 + 3x = -2x² + 4x - 8 + 4x
-2x² + 2x + 3x - 3 = -2x² + 4x + 4x - 8
-2x² + 5x - 3 = -2x² + 8x - 8
<u>+ 2x² + 2x² </u>
5x - 3 = 8x - 8
<u> - 5x - 5x </u>
-3 = 3x - 8
<u>+ 8 + 8</u>
<u>-5</u> = <u>3x</u>
3 3
-1²/₃ = x
Answer:
7.62
Step-by-step explanation:
use the Pythagorean theorem
3^2+7^2=58
the square root of 58 is about 7.62
Answer:
The scale factor is 3.
Step-by-step explanation:
Take the new pupil size divided by the original pupil size
6.3/2.1 = 3
If this answer is correct, please make me Brainliest!
Answer:
2,2,3,4,5
Step-by-step explanation:
Just show how to get the mean, median, mode, and range to justify the answer
Also hey Brailen
