Answer:
1. 2x
2. v(t) =2
3. 24mph
Step-by-step explanation:
1. W(t) = x^2 -3
dw/dt = 2x dx/dt
2. v(t) =2
Take the derivative to get the acceleration
dv/dt = 0
The choice you picked has 0 velocity so it is not in motion
3. To find the velocity
x(7) - x(5)
---------------
7-5
2(7)^2 -2(5)^2
-----------------
7-5
2*49 - 2*25
---------------2
98-50
---------
2
48/2
24 mph
Answer:
about 4650 square inches
Step-by-step explanation:
The area is the product of length and width. Each conversion factor cancels a unit we don't want and replaces it with a unit we do want.
(1.5 m)(2 m)((1 in)/(0.0254 m))^2 = 3/.00064516 in^2 = 4650.0093... in^2
≈ 4650 in^2
The photograph has an area of 4650 square inches.
Answer:
First solve separately:
4-1/4= 3 3/4
and 2-1/2= 1 1/2
then convert to improper
12/4 divided by 3/2---switch the sides for the latter
12/4 x 2/3= 2
Step-by-step explanation:
The y - intercept is (0, -7) and the slope is 5. Using the equation y = mx + b, where m is the slope and b is the y - intercept, the answer must be a. y = 5x - 7
9514 1404 393
Answer:
g(x) = (x -3)² -6
Step-by-step explanation:
You know that a function f(x) is translated h units to the right when x is replaced by x-h.
g(x) = f(x-h) . . . . . translated h units right
You also know that a function f(x) is translated k units up when k is added to the function value.
g(x) = f(x) +k . . . . . translated k units up
__
Here, we want to translate f(x) 3 units right and 6 units down. Using the above relations, we will get ...
g(x) = f(x -3) -6
Using the given definition of f(x), this becomes ...
g(x) = (x -3)² -6