Answer:
g(x)=8x+16 for x= -3, 0, and 8.
g(-3) = -8
g(0)= 16
g(8)= 80
Step-by-step explanation:
Step 1. Plugin the given numbers.
g(-3)= 8(-3) + 16
g(0)= 8(0) + 16
g(8)= 8(8) + 16
Step 2. Solve the equations.
g(-3)= -24 + 16 Multiplied -3 and 8.
g(-3)= -8 Added -24 and 16
g(0)= 0+16 Multiplied 0 and 8.
g(0)= 16 Added 16 and 0.
g(8)= 64+16 Multiplied 8 and 8.
g(8)= 80 Added 64 and 16.
Answer:
<u>4.77 in.</u>
Step-by-step explanation:
Height = volume / πr²
= 60 / 3.14 x 4
= 15/3.14
= <u>4.77 in.</u>
Answer:
The length is 14 m.
Step-by-step explanation:
length = L
width = W
perimeter = P
"The perimeter of a rectangle is twice the sum of its length and its width."
P = 2(L + W)
"The perimeter is 40 meters"
40 = 2(L + W)
"and its length is 2 meters more than twice its width."
L = 2W + 2
Replace L with 2W + 2 in equation 40 = 2(L + W):
40 = 2(2W + 2 + W)
40 = 2(3W + 2)
20 = 3W + 2
3W = 18
W = 6
The width is 6 meters.
L = 2W + 2 = 2(6 m) + 2 m = 12 m + 2 m = 14 m
Answer: The length is 14 m.
Step-by-step explanation:
-6x + 5 > -1
-6x > -6 (subtract 5 on both sides)
x < 1 (divide -6 on both sides, flip the sign)
Hence the answer is x < 1.
