Answer:
B) 1/x^2
Step-by-step explanation:
Simplify the following:
x^9/x^11
Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to x^9/x^11.
Combine powers. x^9/x^11 = x^(9 - 11):
x^(9 - 11)
Hint: | Evaluate 9 - 11.
9 - 11 = -2:
Answer: x^(-2) = 1/(x^2)
Answer: AD/CD = 2/5
Explanation:
Triangle ABC is similar to triangle DEC on the basis of AA(Angle angle)
Recall, if 2 triangles are similar, it means that the ratio of their corresponding sides are equal. Thus,
AB/DE = BC/EC = AC/DC
From the information given,
AB/DE = 7/5
Thus,
AC/DC = 7/5
AD + CD = AC
(AD + CD)/DC = 7/5
AD/DC + CD/DC = 7/5
AD/DC + 1 = 7/5
AD/DC = 7/5 - 1
AD/DC = 2/5
AD/CD = 2/5
Answer:
f(x) = 26500 * (0.925)^x
It will take 7 years
Step-by-step explanation:
A car with an initial cost of $26,500 depreciates at a rate of 7.5% per year. Write the function that models this situation. Then use your formula to determine when the value of the car will be $15,000 to the nearest year.
To find the formula we will use this formula: f(x) = a * b^x. A is our initial value which in this case is $26500. B is how much the value is increasing or decreasing. In this case it is decreasing by 7.5% per year. Since the car value is decreasing we will subtract 0.075 from 1. This will result in the formula being f(x) = 26500 * (0.925)^x. Now to find the value of the car to the nearest year of when the car will be 15000 we plug 15000 into f(x). 15000 = 26500 * (0.925)^x. First we divide both side by 26500 which will make the equation: 0.56603773584=(0.925)^x. Then we will root 0.56603773584 by 0.925. This will result in x being 7.29968 which is approximately 7 years.
I= 9.95 + .5h
20-35=15
I = 9.95+.5(15)
9.95+7.5
I = 17.45
If you used the internet for 35 hours, your bill would be $17.45
Answer:3^2
Step-by-step explanation:
