Answer:
g(4) = 7 and f(g(4)) = 43
Step-by-step explanation:
First find g:
g(x) = 3x-5
g(x) = 3(4) - 5
g(x) = 12 - 5
g(x) = 7
Plug in:
f(g(4))
f(7)
Now, find f:
7^2 - 7 + 1
49 - 7 + 1
42 + 1
f(x) = 43
Answer:
Step-by-step explanation:
The formula for determining the volume of a square based pyramid is expressed as
Volume = 1/3 × base area × height
Since the base is a square, all sides would be equal. The formula for finding the area of a square would be applied. From the information given, length of each side of the square is 12 cm. Therefore,
Base area = 12² = 144 cm²
Height = 10 cm
Therefore,
Volume = 1/3 × 144 × 10 = 480 cm³
Answer:
Step-by-step explanation:
14x+10
-10 -10\
4x=0
Answer:
± sqrt(3)i = x
Step-by-step explanation:
0 = x^2 +3
Subtract 3 from each side
-3 =x^2 +3-3
-3 =x^2
Take the square root of each side
±sqrt(-3) = sqrt(x^2)
±sqrt(-3) = x
We can split sqrt(-3) into sqrt(3) sqrt(-1) and we know that the sqrt(-1) is i
± sqrt(3)sqrt(-1) = x
± sqrt(3)i = x
