# Algebra

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Hello, could someone check my answers to the following

1.For the function f(x) = x^2 - 2x + 1,

(a) find f(0)

My Ans:
(0) = 0² - 2(0) + 1
= 0 - 0 + 1
= 1

f(0) = 1

(b) solve f(x) = 0

My Ans:
0 = x² - 2x + 1
(x - 1)(x - 1) = 0
(x - 1)² = 0

x = 1

2. (Solve and check) The amount of money that a salesperson makes varies directly as the total amount of sales made. If the salesperson receives \$7,500 for selling a house for \$120,000, how much will he or she make if he or she sells a house for \$150,000?

My Ans:

x = commission on \$150,000

120,000/ 150,000 = 7500/x

120,000x = 150,000 * 7500
120,000x = 1125000000

x = 1125000000/120,000

x = \$9,375 (how do I do the check?)

3. If y varies inversely as x^2, and y = 2 when x = 4, what is the constant of variation?

My Ans:

y = k/x^2
2 = k/4^2
2 = k/16
k = 32

I not very sure with this, especially #3.

• Algebra -

good job, all answers are correct.

for a check of #2 you could find the rate of commission
7500/120000 = .0625

then .0625(150000) = 9375