7. g(3) = 42
8. f(6) = - 124
9. g(15) = 3
10. h(-3) = 1/8
7. g(x) = 4x² + 6
g(3) = 4×3² + 6
= 4×9 + 6
= 36 + 6
= 42
8. f(x) = - 3x² - 4x + 8
f(6) = - 3×6² - 4×6 + 8
= - 3×36 - 24 + 8
= - 108 -16
= - 124
9. g(x) = √(x - 6)
g(15) = √(15 - 6)
= √9
= 3
10. h(x) = 2ˣ
h(-3) = 2⁻³
= 1/2³
= 1/8
The electric generator has an efficiency of approximately 66.67%, which means that 66.67% of the input energy is converted into usable electrical power.
The question wants to know about the efficiency of an electric generator. The efficiency of any engine or generator is defined as the ratio of useful energy output to the energy input. In this case, the energy input to the generator is 120 hp (horsepower) and the useful energy output (i.e electrical power) is 80 hp.
The formula used to calculate the efficiency is: Efficiency = (useful energy output / energy input) * 100% , Using this formula, the efficiency of the generator would be (80 / 120) * 100% = 66.67 % .
This means that 66.67% of the energy supplied to the generator is successfully converted into electrical power, while the rest is likely lost as heat or other forms of non-usable energy.
#SPJ12
2x – 10y = 4
Question 18 options:
A)
(3,1)
B)
(2,0)
C)
(4,–5)
D)
(–3,4)
Answer:
opt B (2,0)
Step-by-step explanation:
.
.
.
pls rate
Answer:
B
Step-by-step explanation:
9x2-5x = 94x-8
Answer:
x=26262626262626...
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
it's division 10/5 is 2 which means in one second it travels 2 floors
Answer:
x = -0.2
Step-by-step explanation:
In this problem, an equation is given as follows :
8- 6x - 5 - 4x = 5
We need to solve the above equation
Taking like terms together:
-6x-4x=5+5-8
-10x=2
x = -0.2
So, the value of x is -0.2.
Answer: 50 cups of coffee
Step-by-step explanation:
Let x represent the number of cups of coffee that it will take for the cost at Dunkin Donuts to be the same as having a Keurig and k-cups.
He orders a coffee from Dunkin Donuts and it costs him $3.50 everyday. It means that the cost of ordering x cups would be 3.5x.
The Keurig is $150 and each k-cup costs $0.50. It means that the cost of ordering x cups would be 150 + 0.5x.
For the ordering cost to be the same, it means that
3.5x = 150 + 0.5x
3.5x - 0.5x = 150
3x = 150
x = 150/3
x = 50