Questions on Algebra: Equations answered by real tutors!

Tutors Answer Your Questions about Equations (FREE)

Question 203057: how do I solve:
3x/5 = -6
y/4 + 2 = 7
16 = -2x/3
Find f(1) for f(x) = 2x3 - 3x2 + x – 21

Click here to see answer by RAY100(1637)

Question 203063: (15ab/4)(8/9a^2b^2)= ?
(6a/8b)/(10c/12d)= ?
(2x^2+x-3/9)[(x+1)^2/2x^2+5x+3)= ?
(1/25-y^2)/(6-3y/y^2-7y+10)= ?
Thanks!
Click here to see answer by PRMath(123)

Question 203147: Write an equation in standard form of the line whose slope is 1/2 (one half) and whose y-intercept is -3.
Click here to see answer by jejess(7)

Question 203219: solve the following system of equations using algebra. state whether the system is consistent/ inconsistent and dependent/independent.
3x-2y=7
4y=6x+10
so, I found points for each equation and graphed them. I found that the two equations are parallel to each other, so the would be inconsistent/independent- there are no solutions
is that right?
Click here to see answer by PRMath(123)

Question 203226: Please Help me!!
Hi I desperately need help...the directions to this problem is to simplify
(xy^7)(x^4y)/(x^5y^2)
and i need help,, the directions are to add:
x-3/ x^2+7x+12
and i need help with solving this quadratic:
x^2-5x-1=0
if you can help me with explaining these topics in detail I would greatly appreciate your effort! Thank You!!
Click here to see answer by edjones(7569)

Question 203250: A car travels 40km per hour between two cities that are 90 km apart. How fast must the car travel on the return trip to average 50 km per hour for the round-trip?
Click here to see answer by ankor@dixie-net.com(15646)

Question 203315: Hi I need help with a word problem involving interest rates Please.
P dollars is invested at annual
interest rate r for 1 year. If the interest is compounded
semiannually, then the polynomial P(1+r/2)^2
represents the value of the investment after 1 year. Rewrite this expression
without parentheses. Evaluate the polynomial if
P= $200 and r= 10%.
My Try: I know I have to substitute the numbers in for the variables, but not sure how to solve after that. 200(1+10%/2)^2 = 200+220/2=110^2=220??
Thanks
Click here to see answer by MathTherapy(1422)

Question 203317: I need help with writing an equation to fit the area of a square??
Area of a square. Find a polynomial A(x) that represents
the area of the shaded region in the accompanying figure.
I have included the ISBN so that you can see the illustration.
Not even sure where to start.
Thanks
Click here to see answer by MathTherapy(1422)

Question 203329: What is the smallest solution of the equation
x^4 − 34x^2 + 225 = 0?
Click here to see answer by stanbon(57290)

Question 203366: I need help with this algebra problem..
Solve by substitution
3x + 6y = 18
-6x + y = 16
Thank you for any help!!!
Click here to see answer by stanbon(57290)

Question 203459: 2(a – 4) + 4 = 5(9 - a)
Click here to see answer by checkley77(12569)

Question 203341: √x+6 - 2 - x = 0
Click here to see answer by RAY100(1637)

Question 203499: I need help with factoring this polynomial please.I think it is prime, but I am not sure though.
9x^2+4y^2
Click here to see answer by stanbon(57290)

Question 203498: I need help with factoring this polynomial please.
h^2-9hs+9s^2
Click here to see answer by stanbon(57290)

Question 203570: Can someone please help me with this problem:
Find the compound amount for the deposit. Round to the nearest cent.
$5000 at 7% compounded annually for 6 years.
Click here to see answer by rfer(12655)

Question 203571: Can someone please help me with this problem:
Find the actual interest rate paid, to the nearest tenth, on the simple discount note.
$27,000; discount rate 7%; length of loan 3 months
Click here to see answer by rfer(12655)

Question 203568: Can someone please help me with this problem:
Find the effective rate corresponding to the given nominal rate. Round results to the nearest 0.01 percentage points.
9% compounded monthly
Click here to see answer by stanbon(57290)

Question 203605: could you help me about this?
Derermine the value (or set of values) of K for which the equation x^2+y^2-2x-4y=K represents a real circle, a point, and an imaginary circle.
i rewrite the equation to (x-1)^2+(y-2)^2=K-5 but i dont know how should i go on =(
Click here to see answer by stanbon(57290)

Question 203606: please help me to: find the equation of the line segment, which is the shortest chord of the circle x^2+y^2=9 and passes through the poin (1,2).
Click here to see answer by stanbon(57290)

Question 203617: I am not sure how to work this sample question out. I don't know where to start
Suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project. You need 30 tons of rock to cover the area. If each ton cost $60 and each tree is $84, what is the maximum number of trees you can buy with a budget for rock and trees of $2,500? Write an inequality that illustrates the problem and solve.
Would 5 trees be a solution to the inequality in part b?
Click here to see answer by Earlsdon(6287)

Question 203645: the morrisons car uses one gallon of gasoline for every 28 miles.if gasoline costs $1.50. per gallon, how many miles can the drive if they spend $24.00
Click here to see answer by stanbon(57290)

Question 203590: the point 1 is -5,3 and 0,-5 and the point 2 is 7,6 and -3,-7 two point term equations is this,,,,,thank you

Click here to see answer by Alan3354(30993)

Question 203603: please helppppppp:
Find the equation of circle with centre (6,7) and tangent to the line 5x-20y+24=0
Click here to see answer by scott8148(6628)

Question 203688: last month in the village,125 people wee issued a parking ticket.this month only 83 peole were issued one.what was the percent reduction from this month to last month in the number of people who were issued a parking ticket?
Click here to see answer by rfer(12655)

Question 203589: I need some help with solving this equation please:
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of 1.75
If the monthly bill for 18 HCF is 29.84, what is the monthly bill for 14 HCF?

Click here to see answer by rfer(12655)

Question 203760: Solve for x: 3/4 x - 1= 1/4 x +11??
Click here to see answer by jsmallt9(3296)

Question 203742: Simplify: (-x^2y^5)^4 (-x^2 y^4)^5
Click here to see answer by RAY100(1637)

Question 203681: The line y=0.15x+0.7

represents an estimate of the average cost of gasoline for each year. The line

0.11x-y= -0.85

estimates the price of gasoline in January of each year (Bureau of Labor Statistics, 2006).
a) Do you expect the lines to be intersecting, parallel, or perpendicular? Explain your reasoning.

b) Use the equations of the lines to determine if they are parallel. What did you find?

c) Did your answer to part b confirm your expectation in part a?

Click here to see answer by RAY100(1637)

Question 203803: Hi again, I was wondering if someone could show me how to do the following;
Factorize 6x^2 + x - 12.
and Expand (x + 1)(-2x + 1)(x - 3).
Both are seperate equations and I need different answers. If someone could show me how to do them that would be great.
Thanks, -Nick
Click here to see answer by PRMath(123)

Question 203780: Translate each of the following word expressions into an Algebraic Expression
1.Twelve more than five times a number
2.Six times the sum of a number and four
3.Eight subtracted from two times a number.
4.The quotient of one less than a number and twice a number
6.The product of a number and four increased by the number
5.Eleven times the difference of a number and three is equal to twice the number
7.If seven times a number is reduced by nine,the result is ten less than the number
Thank You

Click here to see answer by rfer(12655)

Question 203857: Please help me about this :
Find R so that the circle x^2+y^2=R^2 is tangent to the line x+2y=4.
Thanx:)
Click here to see answer by Alan3354(30993)

Question 203889: Can someone please help me with this problem:
Find the compound interest earned by the deposit. Round to the nearest cent.
$15,000 at 4% compounded quarterly for 1/2 year
Click here to see answer by jojo14344(1512)

Question 203888: Can someone help me with this problem:
Find the present value of the future amount. Assume 365 days in a year. Round to the nearest cent.
$23,749 for 107 days; money earns 8.5%
Click here to see answer by jojo14344(1512)

Question 203887: Can someone please help me with this problem:
Find the exact interest. Use 365 days in a year, and use the exact number of days in a month. Round to the nearest cent, if necessary.
A loan of $76,000 at 11% made on Feb 29 and due on June 30.
Click here to see answer by scott8148(6628)

Question 203909: Please help me with these two problems:
Find the actual interest paid, to the nearest tenth, on the simple discount note.
$27,000; discount rate 7%; length of loan 3 mo.
$50,000; discount rate 8%; length of loan 6 mo.
Click here to see answer by rfer(12655)

Question 203884: Can someone please help me with this problem:
Find the interest. Round to the nearest cent.
$760 at 14% for 13 months

Click here to see answer by rfer(12655)

Question 203859: Could you guide me about this?!I can't understand what does it mean!!!
A stick is slipping near the wall. Which curve is described by the midpoint M?
p.s : this problem has a figur and there are two stick in the figure ,so I think mybe the curve between to M in the question not one!!!
Click here to see answer by josmiceli(9668)

Question 203948: please help me FACTOR this EXPRESSION....

Click here to see answer by Edwin McCravy(8893)

Question 203989: Jon throws all his nickels and dimes in a jar at home each day. He counted all his coins one day and found that he had collected $42.35. If there were five times as many nickels as dimes how many of each coin does he have?
Click here to see answer by Theo(3458)

Question 203958: Hi all, I was hoping someone could help me in answering the following 2 problems. They are two similiar problems bbut they are seperate problems and are not related to eachother.
1. Make t the subject of the equation y = sqrt(8t + 3)
2. Make x the subject of the equation y = 3e^(2x).
Any help with steps would be most appreciated.
Thanks, -Nick.

Click here to see answer by ankor@dixie-net.com(15646)

Question 204029: Could you please help me with factoring this problem?
6c+c^2-27
Thank you!!
Click here to see answer by Earlsdon(6287)

Question 204028: Hi, could you please help me with factoring?
14a^2-33ad+18d^2

Thank you so much!!
Click here to see answer by checkley77(12569)

Question 204049: Would you please help me with this?
Factor
63c^4+36c^2-18
Thank you!
Click here to see answer by scott8148(6628)

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