1) The ball's position is described by:
s(t) = 4.9t² + 450
We want to find the velocity, which is the 1st-order derivative of the displacement function (I assume this is an introductory calculus class)
s'(t) = v(t) = 9.8t
We get this by multiplying 4.9 x 2 and reducing the exponent by 1. Now we simply plug 5 in for t.
v(5) = 9.8* 5
v(5) = 49m/s
2) Our cost function is C(x) = x² - 10,000
To find the average rate of change between these units, we use this formula:
( C(101) - C(100) ) ÷1 .
We find the change in C, and divide by the change in x, which is just one.
C(101) = 101² - 10,000
C(101) = 201
C(100) = 100² - 10,000
C(100= 0
C(101) - C(100) = 201
Average rate of change in cost is 201 dollars/ unit between the two points.
Answer:
x = -13/3 or -4 1/3 or - 4.333...333
Step-by-step explanation:
-5x - 16 = 8x - 3
-16 = 8x - 3 - 5x
-16 + 3 = 8x - 5x
-13 = 3x
x = -13/3 or -4 1/3 or - 4.333...333
... represents that it has infinite amount of 3's
Hi!
<h3>To find the prime factorization of a number, keep dividing by the smallest factor that goes into it. </h3>
63/3 = 21
21/3 = 7
7/7 = 1
<u>3 · 3 · 7 = 63</u>
<h2>The answer is D. 3 · 3 · 7 </h2>
Hope this helps! :)
-Peredhel
Answer:
x = 9/5
Step-by-step explanation:
