Answer:
F(4) = 97
Step-by-step explanation:
F(x)= x³+2x²+1
when x = 4
F(4)= 4³+2(4²)+1
= 4³+2(4²)+1
= 64 + 2(16) + 1
= 64 + 32 + 1
= 97
Ian has a higher passing percentage
Answer:
30
Step-by-step explanation:
60/40=3/2
105/40+x = 3/2
105/70=3/2
x=70-40 = 30
Answer: 14 right and 8 up, or (14, 8)
Step-by-step explanation:
To find the distance, you can subtract or add numbers.
So from (-6, 2) to 0, I have to move right 6 spaces to get (0, 2).
Then, I must move 8 to the right to get (8, 2).
From here, I continue to move up 8 since we want to get to (8,10). So in all, you should move 14 spaces to the right and 8 up (14, 8).
Answer: the height of the prism is 14 cm.
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × height × width
Volume = LWH
The length of the prism is 3 times the width. It means that
L = 3W
The height is twice the width. This means that
H = 2W
Therefore,
Volume = 3W × × W × 2W = 6W³
The volume of a rectangular prism is 2,058 cubic cm. This means that
2058 = 6W³
Dividing through by 6, it becomes
343 = W³
W = 7
Therefore, the height of the prism would be
H = 2W = 2 × 7
H = 14 cm
