Answer:
3, in both a), b)
Step-by-step explanation:
a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.
Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is 
. In particular, the value we are looking for is 
.
If you would like to compute the equation of the tangent line, we can use the point-slope equation to get 
b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to 
.
Answer:
The height is 0 when it "drops".
3/2x + 9 = 0
3/2x = -9
3 = -9(2x)
3 = -18x
3/-18x
Change signs, time cant be negative.
x= 6
Another interpretation; Slope is negative it is falling. This interpretation is more accurate.
-3/2x + 9 = 0
-3/2x = -9
-3 = -9(2x)
-3 = -18x
6 = x
AFTER 6 SECONDS
Answer:
60
Step-by-step explanation:
We can write a proportion to solve
5 made x made
------------ = -----------
3 missed 36 missed
Using cross products
5 * 36 = 3x
Divide each side by 3
5 * 36/3 = 3x/3
50 = x
She made 60
Answer:
W = -1
Step-by-step explanation:
3W - 8 + 3W = -4 + 5W - 5
combine like terms
6W - 8 = -9 + 5W
subtract 5w on both sides
W - 8 = -9
add 8 on both sides
W = -1
