Answer:
tSubstitution Property of Equality
Step-by-step explanation:
I took the test and that was the answer
9514 1404 393
Answer:
y = 3x -8
Step-by-step explanation:
We assume you want the tangent to the parabola y = x² -3x +1 at the given point. The slope is found using the derivative of the function at that point.
y' = 2x -3
At x=3, the slope is ...
y' = 2(3) -3 = 3
The equation of the line through point (3, 1) with a slope of 3 is ...
y -1 = 3(x -3) . . . . use the point-slope form of the equation for a line
y = 3x -9 +1 . . . . . eliminate parentheses, add 1
y = 3x -8
True
1/2 (up the hill) - 1/2 (down the hill) = 0
Answer:
The function of height has a maximum value.
Step-by-step explanation:
Maximum or Minimum:
A given function f(x).
- Find out f'(x) and f''(x)
- Then set f'(x)=0 which gives x=a.
- f''(a) > 0 , then at x=a , f(x) has minimum value.
- If f''(a)<0 , then at x=a, f(x) has maximum value.
Given that, a baseball is thrown with with an velocity of 32 feet per second.
The equation of height is

Differentiating with respect to t

Again differentiating with respect to t

Next, we set h'=0



Now 
Since at t=1, h''<0.
The function of height has a maximum value.
The maximum of h is = -16.(1)²+32
= -16+32
=16 feet
Answer:
1/8
Step-by-step explanation:
P(-3, 0) and Y(5,-1)
If PLAY is reflected over x-axis, then P-->P'(-3,0) and Y-->Y'(5,1)
Slope of P'Y' = (1 - 0)/(5+3) = 1/8