# Algebra

posted by .

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

## Similar Questions

1. ### Algebra

1. Find the slope of the graph of the linear function f with f(0)=4 and f(3)=13. I have no idea how to do this.. :( __________________________________ Evaluate the function when x=3, x=0, and x= -2. 2. f(x)=-1/2x+3 my answers: 1.5, …
2. ### Algebra

Hello, can someone check my answers to the following Algebra questions 1. (2y)(-2)= My answer - 2 * -2 = 0 Translate 2 and 3 into an euation 2. Four less than the quotient of x divided by 2 is 8. My answer - (x * 2) -4 = 8 3. The sum …
3. ### Algebra

Hello, can someone help me solve and check the following 1) x - 8 = 20 Check: 2) x + 15 = 35 Check: 3) -x +6 = 3 Check: The symbol 'x' is in italic. If I can understand the symbols better, I belive I can get the hang of the course.
4. ### Algebra

Hello, can someone tell me if I got the following solve and check work correct?
5. ### Algebra 1

Hello. Can someone check my answers to the following Factor each of the following 1. a^2 - 9 My answer a^2 - 9 = 0 (a - 3)a + 3) 2. 4a^2 - 4a+1 My Answer 4a^2 - 4a + 1 = 4a^2 - 2a - 2a + 1 = 2a(2a - 1) - 1(2a - 1) = (2a - 1)(2a - 1) …

Can you check these problems, please? Translate each phrase into algebraic expression. 1. 5 more than D Ans: 5 + D 2. Twice a number W Ans: 2*W 3. Product of 60 and W Ans: 60*W 4. A number, N, decreased by 18 Ans: N - 18 5. 14 minus
7. ### math -ans check

two points on the graph of a linear function are (-3,5) and (-1,4). Determine the equation of the function in slop-point form. ans: m=-1/2 I pick a point (-1,4) y-y1=m(x-x1) y-4=-1/2(x-(-1)) y-4=-1/2(x+1) Thank you ^^
8. ### 7th grade math (probability)

Can you check these, please? Ten cards numbered 1 through 10 are mixed together and then one card is drawn. Find the probability of each event. Write each answer as a fraction, percent, and decimal. 14. P(less than 5) = 4/10 = 2/5
9. ### College Algebra

Hey, I would love if someone could please look over my answers. I just learned this yesterday and want to make sure I did my hw correct. Thanks!!! Solve for x. Round answers to four decimal places where appropriate: 1. 6^x=6^2x-1 Ans.= …
10. ### College Algebra (pt.2)

Hey, I would love if someone could please look over my answers. I just learned this yesterday and want to make sure I did my hw correct. Thanks!!! Solve for x. Round answers to four decimal places where appropriate: 6. ln(5x-3)=0 ans= …

More Similar Questions