The slope of a function at a point is the value of its derivative there.
... f'(x) = 5·(2x) + 0 = 10x . . . . . . using the power rule: (d/dx)(xⁿ) = n·xⁿ⁻¹
Then
... f'(4) = 10·4 = 40 . . . . . the slope at x=4
Answer:
Her answer is not reasonable. Her average is 83.
Step-by-step explanation:
Add all of her test grades together (96+82+78+76=332)
To find the average, you need to add all test grades she got and then divide the sum by the total number of numbers added (in this case, we added 4 tests together, so we need to divide by 4)

So she added wrong and forgot to divide by the total number of tests.
The position of the ball when it is at its highest point is 121
<h3>Polynomial function</h3>
Given the polynomial function expressed as y = -1/250(x - 175)^2 + 121,
The velocity of the ball at the maximum point is zero. Hence;
dy/dx = -1/125(x-175)
Equating to zero;
0 = -1/125(x - 175)
x = 175
Substitute into the function to get the maximum height
y = -1/250(175 - 175)^2 + 121,
y = 121
Hence the position of the ball when it is at its highest point is 121
Learn more on polynomial function here: brainly.com/question/2833285
Answer:
15
Step-by-step explanation:
the difference of 8 and 3 : 8-3 = 5
sum of 7 and 5 : 7+5 = 12
a quarter of that sum : 12/4 = 3
the difference from before is now multiplied by that quarter : 5 × 3 = 15
I know, you are a beginner, but you don't know basic arithmetic calculation of +, -, × , / ? really ?
Answer:
its 2
Step-by-step explanation: