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:
i dont know maybe you should search google. best of Luck
Step-by-step explanation:
Answer:
$812.25
Step-by-step explanation:
Given data
Cost of TV= $855
Discount= 10%
Tax= 5%
Let us find the amount of the Discount
=10/100*855
=0.1*855
=$85.5
Let us find the amount of the Tax
=5100*855
=0.05*855
=$42.75
Hence the cost of the TV is
=855+42.75-85.5
=897.75-85.5
=$812.25
This would be 14137.17.
V=4/3 x π x r^3 = 4/3 x π x 15^3 ≈ 14137.16694
To determine the value of the house in x number of years, we need to derive an equation that would relate the value of the house, the rate of increase and the number of years. If we calculate manually, we would do as follows:
V(1) = 150000 + 150000(0.012)
V(2) = 150000 + (150000 + 150000(0.012))(0.012)
V(3) = .............
We need to do this up to 10 years. It would be a long and tedious process. We need to simplify the expression as follows:
We factor out the initial amount of the house and simplify further what is inside the parentheses. This would give us
V(x) = 150000 (1 + 0.012)^x
Substitute 10 to x,
V(x) = 150000 (1 + 0.012)^x10
V(10) = 169003.77