Answer: f(x)=-2/9(x+1^+3
Step-by-step explanation:
Answer: y = 6280(0.87)^x
Step-by-step explanation:
If the office equipment depreciates at a rate of 13% each year, then the rate of depreciation is exponential.
We would apply the formula for exponential decay which is expressed as
y = b(1 - r)^x
Where
y represents the value of the office equipment after t years.
x represents the number of years.
b represents the initial value of the office equipment.
r represents rate of decay.
From the information given,
y = $628
r = 13% = 13/100 = 0.13
Therefore, the equation that represents the value of the equipment after x years is
y = 6280(1 - 0.13)^x
y = 6280(0.87)^x
Answer:
5
Step-by-step explanation:
8x - 6 > 12 + 2x
Subtract 2x from each
8x -2x -6 > 12+2x-2x
6x -6 > 12
Add 6 to each side
6x -6+6 > 12+6
6x > 18
Divide by 6
6x/6 > 18/6
x > 3
The only value greater than 3 is 5
Answer:
(18, ∞)
Step-by-step explanation:
(18, ∞) is the only option that works. if we ignore the "greater than" sign, and just set the function equal to -12, we see that x-10=-12 would give us x=-2. If we plug in -3 for x, we get -13, which is less than -12. if we plug in -1 for x, we get -11, which is greater than -12. Therefore, with the function only having one critical point (zero), we know that every value greater than -2 is a solution. Technically, the full solution would be (-2, ∞). however, the only answer available meeting the criteria would be (18, ∞).
