Answer:
(x-1)² = 3
Step-by-step explanation:
Given f(x)=x²−2x−2
Completing x²−2x−2 = 0 to square
- x²−2x − 2=0
- x²−2x + 1 - 3 =0
- (x - 1)² - 3 = 0
- (x - 1)² = 3
Correct choice is D
S = the number of student tickets sold a = the number of adult tickets sold The drama class sold 25 more student tickets than adult tickets to the fall play s = a + 25 The class collected $660 from ticket sales: 6s + 3a = 660 divide both sides by 3 2s + a = 220 by solving the system of equations s = a + 25 2s + a = 220 we find s = 81.67 student tickets a = 56.67 adult tickets
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Answer:
6 containers needed
Step-by-step explanation:
Given
----- Size
----- Size
Required
Determine the number of containers needed
This question illustrates the knowledge of fraction and division.
To get the number of containers needed, we simply divide the total size by the size of the container as follows;


Convert to improper fractions




--- Approximated
Answer:
18 years
Step-by-step explanation:
The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03
We can rearrange the above equation to:

Taking logs on both sides

This gives

In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075
1 + r/n = 1+0.0075 = 1.0075
4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72
t = 72/4 = 18 years