Answer:
true
Step-by-step explanation:
Tax is 4%
Tax in the $140 item is $5.60
(0.04x140)
Answer:
x = -
, x = 2
Step-by-step explanation:
To find h(g(x)) substitute x = g(x) into h(x) , that is
h(g(x))
= h(x + 1)
= (x + 1)²
= x² + 2x + 1
For h(g(x)) = 3x² + x - 5 , then
3x² + x - 5 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides
2x² - x - 6 = 0 ← in standard form
(2x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - 
x - 2 = 0 ⇒ x = 2
Answer:
108
Step-by-step explanation:
<u>find the volume of the cooler</u>:
V=πr²h
π×6²×16= 1809.56
<u>find the volume of the cup</u>:
V=πr²(h/3)
π×2²×(4/3)= 16.76
<u>divide the volume:</u>
1809.56/16.76= 107.969
Assuming that the cooler is full to the max, and cups are filled almost to the top, the cooler contains 108 cups of water.