Answer:
f(g(x)) = 9
Step-by-step explanation:
Given f(x) =x-7 and g(x)= x^2 find f(g(4))
To calculate composition, first calculate g(4).
<u>g(4) can be calculated by replacing x with 4 in the equation</u>
g(x) = x^2
g(4) = 4^2 = 16
To calculate f(g(4)), we have to replace x in equation with the value of g(4)
f(x) = x-7
f(g(x)) = g(x) - 7
f(g(x)) = 16 - 7
f(g(x)) = 9
Answer:
There are 8 penguins and 6 reindeers.
Step-by-step explanation:
Since Brian, the gorilla, was planning a party for his zoo friends, and he sent his elves Jamie and Nancy into the North Pole exhibit to count the penguins and reindeer, and Jamie said there were 40 legs and Nancy said there were 14 heads To determine how many penguins and reindeer were in the exhibit, the following calculation must be performed:
Penguins: 1 head and 2 legs
Reindeers: 1 head and 4 legs
40 - (14 x 2) = X
40 - 28 = X
12 = X
12/2 = 6
14 - 6 = 8
8 x 2 + 6 x 4 = X
16 + 24 = X
40 = X
Therefore, there are 8 penguins and 6 reindeers.
Answer:
30 cm^3
Step-by-step explanation:
Given
radius for both shape = r
height for both shape = h
volume of cylinder is given by
volume of cone is given by
From above two equation we can see that is volume of cylinder
thus we can say that volume of cone is 1/3(volume of cylinder)
So we can say that for any cylinder and cone whose height is same and base is congruent
volume of cone will be one-third of volume of cylinder.
Now in given problem
volume of cylinder is 90 cm^3
So , volume of given cone will be one-third of 90 cm^3
which is 1/3*90 cm^3 = 30 cm^3.
Thus, volume of the given cone is 30 cm^3.
Please mark it the brainliest
Answer:1.59719
Step-by-step explanation:
Possibly wrong.. ah
The answer would be B, 5 left, 5 down. The reason behind this is that x coordinates increase as you move to the right and decrease as you move to the left. The same is true with y coordinates and up and down respectively.
So if the vertex moved from x=11 to x=6, then the x coordinate decreased, so it moved to the left by 5 (11 - 6 = 5).
Also if the vertex moved from y=9 to y=4, then the y coordinate also decreased, so it moved downward by 5 (9 - 4<span> = 5).</span>