Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 82456: Which is equivalant to a if a(2p-q)=10p2-pq-2q2?

Click here to see answer by scott8148(6628)

Question 82612: a picture frame is 20cm by 12cm. there are 84cm (to the second power) showing. find the width of the frame
Click here to see answer by josmiceli(9664)

Question 82627: practice problem that is confusing me, I thought quadratic equation was x^2 not x^4 so HELP please.
x^4-10x^2+9=0
Click here to see answer by kev82(148)

Question 82627: practice problem that is confusing me, I thought quadratic equation was x^2 not x^4 so HELP please.
x^4-10x^2+9=0
Click here to see answer by scott8148(6628)

Question 82626: I am completely lost on how to work this problem. solve:
y-2-8sqrt(y-2)+15 = 0
Click here to see answer by scott8148(6628)

Question 82405: Solve the system by addition or substitution.
–6x + 3y = 12
y = 2x + 3

Click here to see answer by checkley75(3666)

Question 82404: Solve the system by substitution.
2x + 2y = 14
y = –3x + 9
Hint: You must find both the x and the y values for full credit.

Click here to see answer by checkley75(3666)

Question 82403: The length of a rectangle is 4 in. more than twice its width. If the perimeter of the rectangle is 56 in., find the width of the rectangle.
Answer: The width is ______

Click here to see answer by checkley75(3666)

Question 82385: Given f(x) = –4x + 5, find f(–4).
Click here to see answer by checkley75(3666)

Question 82669: Im not sure how to type in this problem I need help so bare with me 3^the sqrt of x^2=4 I need help in how to solve this problem
Click here to see answer by stanbon(57282)

Question 82655: I feel like an idiot but honestly I only have a few problems out of 55 that Im not getting...please help lol
For the equation x-the sqrt of x=0 , perform the following:
a) Solve for all values of x that satisfies the equation.
Answer:
Show work in this space

b) Graph the functions and on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph
c) How does the graph relate to part a?
Answer:

Click here to see answer by stanbon(57282)

Question 82654: ) I keep getting stuck please help
A right triangle is a triangle with one angle measuring 90°. In a right triangle, the lengths of the sides are related by the Pythagorean Theorem, where c is the length of the hypotenuse (the side opposite the 90° angle). Find the length of the hypotenuse when the other two sides’ measurements are 3 feet and 4 feet.
Answer:
Show work in this space

Click here to see answer by stanbon(57282)

Question 82730: Even though this has a greater than sign is it still a quadratic problem? I am stuck not sure how to solve it.
x^2-6x>-8
Click here to see answer by kev82(148)

Question 82875: Solve 5x^2 + 1= 5x
Click here to see answer by jim_thompson5910(28536)

Question 82907: The monthly profit, P, in thousands of dollars, of a bicycle company can be estimated by the formula P=-2x(squared)+16X-12......where X is the number of bicycles, in hundreds, sold per month.
a) How many bicycles must be sold for maximum profit?
b) What is the minimum number of bicycles that must be sold to break even?
c) What is the maximum number of bicycles that must be sold to break even?
Click here to see answer by Nate(3500)

Question 82909: Mary left home at 12 noon and drove to visit her mom who lives 20 miles away. After she arrived she stayed for 2 hours. Afterwards, she drove to her friend Sue's house who lives 15 miles from her mom. She arrived at Sue's at 3:00pm. If her speed heading for Sue's was 5 mph faster than her speed going to her mom's, find her average speed on the way to Sue's
Click here to see answer by josmiceli(9664)

Question 82899: Help with these problems due tomorrow night. Thank you
1. Solve by factoring:
x2 – 6x = -8

2. Solve using the square root property:
2x2 – 3 = 15

3. Solve using the square root property:
(x + 7)2 = 81

4. Solve by completing the square:
x2 + 8x + 2 = 0

Click here to see answer by Nate(3500)

Question 83030: 3x^2+12x+8=0
Click here to see answer by jim_thompson5910(28536)

Question 83070: Please help me solve these three problems. Thanks
Solve -9(x-3)^2=-7

Solve 9x^2=14

Solve 5(x-2)^2=3
Click here to see answer by stanbon(57282)

Question 83070: Please help me solve these three problems. Thanks
Solve -9(x-3)^2=-7

Solve 9x^2=14

Solve 5(x-2)^2=3
Click here to see answer by checkley75(3666)

Question 83064: Mrs. Niss put $500 in a savings account upon opon which the bank pays an annual yeild of 4%. Because 4% of $500 is $20, and 10 times 20 is $200, Mrs. Niss thinks that the amount in the account after 10 years will be $700($500 + $200). explain why this reasoning is incorrect. If the annual yield continues to be 4%, what will be the amount in the account after 10 years?
Click here to see answer by stanbon(57282)

Question 83062: Solve by completing the square.
3x^2-9x-31=0
Click here to see answer by stanbon(57282)

Question 83085: Please help me solve this quadratic problem. I am lost on the answer given?
Thank you.
Solve 5(x-2)^2=3

Click here to see answer by chitra(359)

Question 83162: How do I solve using the quadratic equation this problem.
x + 1/x = 3/x + 3
Click here to see answer by Mogana(4)

Question 83162: How do I solve using the quadratic equation this problem.
x + 1/x = 3/x + 3
Click here to see answer by Mona27(45)

Question 83144: I have tried these problems on completing the square and I really do not get them. The instructions say this only:
Complete the square. Do not solve for x
and

thank you!
Click here to see answer by Mona27(45)

Question 83344: Use the quadratic formula to solve the following equation: 3x^2-2x+1=0
Click here to see answer by stanbon(57282)

Question 83343: Complete the square: 2x^2+10x+11=0
Click here to see answer by jim_thompson5910(28536)

Question 83397: Q1 (i) Factor the expression
4y^2-12xy-8yz+9x^2+12xz+4z^2
(ii) Expand the expression(3x-2y+3z)^3/(5x-2y+z)^2
(iii) Solve the equation:
x^5 – 2x^4 + x^3 – 2x^2 – 2x + 4 = 0
Click here to see answer by Edwin McCravy(8893)

Question 83454: The volume of a cylinder(think about the volume of a can) is given by V+pie(r)squared(h) where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters.
a. Write h as a function of r. Keep "pie" in the function's equation.
b. What is the measurement of the height if the radius of the cylinder is 2 centimeters? Round your answer to the nearest whole number.
Show work
c. Graph this function.
Click here to see answer by jim_thompson5910(28536)

Question 83471: Not quite sure where to put this problem but please help me solve.
The perimeter of the den is 88ft. If the area is 480 square feet then what are the dimensions of the rectangular room?
Click here to see answer by dolly(163)

Question 83523: y=x2nd-6x-7
Click here to see answer by stanbon(57282)

Question 83544: Please help me solve.
-9(x-3)^2=-7
Click here to see answer by stanbon(57282)

Question 83544: Please help me solve.
-9(x-3)^2=-7
Click here to see answer by Edwin McCravy(8893)

Question 83548: A right-angle triangle has a height 8cm more than twice the length of the base. If the area of the triangle is 96cm, find the demensions of the triangle.
Click here to see answer by stanbon(57282)

Question 83649: 9x^2 + 12x + 5 = 0
I need to solve this using the quadratic formula. I know that there aren't any real solutions, I need the complex ones. I used a calculator to help come up with these steps.
THE CALCULATOR ONLY WORKS WHEN YOU ENTER THE RIGHT NUMBERS AND OPERATIONS.
I SUGGEST YOU WORK WITH THE MANUAL METHOD & THEN CHECK YOUR ANSWER WITH THE CALCULATOR.
1.9x^2 + 12x + 5 = 0 YOU HAVE A BAD START. YOU NEED TO INCLUDE THE -12 OVER THE DENOMINATOR 18.
2.x=(-12)±[SQRT(12)^2-4x9x5]/2x9 | X=(-12+-SQRT[12^2-4*9*5])/2*9
3.x=(-12)±[SQRT(144-180)]/18 | X=(-12+-SQRT[144-180])/18
4.x=(-12)±[SQRT(-36)]/18 | X=(-12+-SQRT-36)/18
5.x=(-12)±6i/18 | X=(-12+-6i)/18
6.x=6(-2±i)/18 BAD MOVE HERE | X=-12/18+6i/18, X=-2/3+i/3 ANSWER.
7.x=(-2)±i/3 BAD MOVE HERE | X=-12/18-6i/18, X=-2/3-i/3 ANSWER.
8.x=2i-(-)+-33,x=2i-(-)-(- 33) VERY BAD MOVE
What I am confused about is the answer, which is step 8. It just dosen't look right, all those minus signs, lol, I'm just wondering if that is the correct answer or if i messed up somewhere. Thanks for the help!
Click here to see answer by checkley75(3666)

Question 83654: I am having trouble with this homeowrk question which states: Solve 2x^2-8x+1=0 by completing the square. So far I have 1/2(2x^2-8x)=1/2(-1)
x^2-4x=-1/2
What now?!?
Click here to see answer by scott8148(6628)

Question 83834: Calculate the indicated value.
f(x) = 7x - 27x^2 - 7
find f(-7)
I'm not sure where to start, do I just replace each x with -7? I have a few question like this and if possible I'd like to see the steps and the answer so I can figure out the rest of my questions. Thank you for your help!
Click here to see answer by jim_thompson5910(28536)

Question 83818: A ball is thrown upward from the roof of a building 100 m tall with an initial velocity of 20 m/s. When will the ball reach a height of 80 m?
Click here to see answer by ankor@dixie-net.com(15645)

Question 83885: If the sides of a square are decreased by 2cm, the area is decreased by 36cm^2. What are the dimensions of the original square?

Click here to see answer by Nate(3500)

Question 83889: If the sides of a square are decreased by 2cm, the area is decreased by 36cm^2. What are the dimensions of the original square?

Click here to see answer by stanbon(57282)

Question 83835: the sum of the solutions of 3x^+3x=36
Click here to see answer by Nate(3500)

Question 83899: How do you find a quadratic function to model the values in the table? Predict the value of y for x=6.
x y
-1 -2
0 4
3 -26
Could you also help me with finding a quadratic model for th set of values.
(-2,19)(0,3)(4,19) Thanks alot. Forgot all these things that we did at the beginning of the year.
Click here to see answer by Nate(3500)

Question 83904: Find the distance between each pair of points (-3,0) and (4,0)
Click here to see answer by Nate(3500)

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