Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 144828: In this question I need to use the “discriminant” to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. I need help please!!
3. 3z2 + z - 1 = 0

Click here to see answer by jim_thompson5910(28476)

Question 144827: In this question I need to use the “discriminant” to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. I need help please!!
2. 2x2 + 5x + 5 = 0

Click here to see answer by jim_thompson5910(28476)

Question 144829: In this question I need to use the “discriminant” to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. I need help please!!
4. m2 + m + 1 = 0

Click here to see answer by jim_thompson5910(28476)

Question 144837: Apply the quadratic formula to find the roots of the given function, and then graph the function.
f(x) = x2 + 4
Click here to see answer by jim_thompson5910(28476)

Question 144838: Apply the quadratic formula to find the roots of the given function, and then graph the function.
g(x) = x2 + x + 12
Click here to see answer by jim_thompson5910(28476)

Question 144780: If x = 3 and x = -5, then form a quadratic equation.

Click here to see answer by scott8148(6628)

Question 144782: Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.

Click here to see answer by ankor@dixie-net.com(15622)

Question 144883: Factor the polynomial expression. If necessary, use the caret (^) to enter exponents.
4x^2 - 81
Click here to see answer by stanbon(57203)

Question 144900: What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.

Click here to see answer by stanbon(57203)

Question 144899: Factor the polynomial expression. If necessary, use the caret (^) to enter exponents. For example, write x2 as x^2.
8x2 + 10x - 3

Click here to see answer by Alan3354(30924)

Question 144908: I need some help setting up these two questions as a quadratic equation that makes sense in the solution. Please help!
A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 250 ft diagonally.

Three consecutive even integers are such that the square of the third is 76 more than the square of the second. Find the three integers.

Click here to see answer by Edwin McCravy(8878)

Question 144909: I need some help with this word problem. Any help would be greatly appreciated. Thanks.

A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108in2. What are the dimensions of the photo?
Click here to see answer by ankor@dixie-net.com(15622)

Question 144919: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.

Click here to see answer by checkley77(12569)

Question 144904: Use the quadratic formula to find the solutions to the quadratic equation below
3x^2 - x - 2 = 0
A. - 2/3
B. -1
C. 2/3
D. -4/5
E. 1
F. 5/4

Click here to see answer by nabla(475)

Question 144981: The sum of two numbers is 8. The sum of the squares of the two numbers is 34. Find the numbers.
I know they are 3 and 5, but how do I show I arrived at that answer
Click here to see answer by jim_thompson5910(28476)

Question 144992: investment problem.... richard inherited 15,000 dollars and invester it in two municial bonds. which pay 7% and 9% simple interest. the annual interest is 1,230.00 find the amount invested at each rate.
amount invested at 7% _______
amount invested at 9% _______
Click here to see answer by vleith(2825)

Question 145001: Use the quadratic formula to find the solutions to the quadratic equation below. Check all that apply.
3x^2 - x - 2 = 0
A. - 2/3 (both are negative)
B. -1
C. 3/2
D. -4/5 (only 4 is negative)
E. 1
F. 5/4

Click here to see answer by jim_thompson5910(28476)

Question 144872: 4. Your profit P is determined by subtracting the cost C (the amount of money it costs to operate a business) from the revenue R (the amount of money you earn from selling your product). Profit can be represented algebraically by the equations:
Profit=Revenue-Cost
OR
P = R - C
a) Rewrite the formula to solve for C.

b) Suppose your profit for one day is $1,281, and the cost of running the business for the day is $1,463. What is the revenue for that day? Explain your answer.

Click here to see answer by solver91311(16868)

Question 144939: The length of a rectangle is 8 feet longer than its width, which has the same dimension as the side of a square. If the area of the rectangle is equal to 160 square feet more than the area of the square, what are the length and width of the rectangle?
(Draw a diagram.)
Click here to see answer by solver91311(16868)

Question 145093: which of the following is a step in the solution of the given equations?
x^2+y^2=65
(1/2)xy=14
a. x+y=121
b.x^2-11x+28=0
c.x^2+2xy+y^2=79
d.11+-(121+112)^(1/2)
---------------------
2

Click here to see answer by vleith(2825)

Question 145133: solve the following using the quadratic formula
x^2+6x+1=0
4x^2-12x+9=0
Click here to see answer by solver91311(16868)

Question 145128: Plot the graphs of the following functions.
f(x)=(1/2)x
Click here to see answer by checkley77(12569)

Question 145127: Plot the graphs of the following functions.
f(x)=3x - 2

Click here to see answer by checkley77(12569)

Question 145366: Plot the graphs of the following functions
f(x)=6x

Click here to see answer by jim_thompson5910(28476)

Question 145367: Plot the graphs of the following functions
f(x)= log2x
Click here to see answer by jim_thompson5910(28476)

Question 145389: can someone please help me solve by using the quadratic formula:
4r^2+4r=7 and 6x^2+53x=6x-35
Click here to see answer by jim_thompson5910(28476)

Question 145126: Plot the graphs of the following functions.
f(x)=6x
Click here to see answer by checkley77(12569)

Question 145405: Solve
Click here to see answer by jim_thompson5910(28476)

Question 144785: Determine whether the following equations have a solution or not? Justify your answer.
m2 + m + 1 = 0

Click here to see answer by stanbon(57203)

Question 145443: which choice is equivalent to the fraction below? Hint: rationalize the denominator and simplify.
2-2√2/2+2√2
a. 1-√2
b. -3+2√2
c. 2+√2
d. 2-√2
Click here to see answer by edjones(7569)

Question 145484: solve the inequality -2(3+x)<4x+4<8x. Give the result in set notation and graph it.

Click here to see answer by Edwin McCravy(8878)

Question 145521: If f(x)=2x^2-7x+3 find f(2) and find f(-3)
Click here to see answer by jim_thompson5910(28476)

Question 145522: x^2+7x+10=0
3x^2-6x=0
Click here to see answer by jim_thompson5910(28476)

Question 145458: Please find the -y intercept
x intercepts if any
vertex
and line of symetry of the following quadratics.

1.

2.

3.
Click here to see answer by Alan3354(30924)

Question 145463: please subtract the following rational expressions

x+2 6
--- - ---
x-4 x-4

x^2 -1
--- - ---
x-1 x-1

4x+y 2x-2y
---- - -----
2x+3y 2x+3y

-3 2-x
--- - ---
x-5 x-5
Click here to see answer by checkley77(12569)

Question 145577: In your industrail oven, you bake two baking sheets with 12 scones each, two baking sheets with 20 cookies each, and one baking sheet with 2 scones and 10 cookies. Write an expression that illustartes the total cost of all baked goods in the scenario above using the variable s to represent the cost of scones and the variable c to represnt the cost of cookies. Simplify your expression by combining like terms.
Click here to see answer by stanbon(57203)

Question 145612: factor x^2+7x+10=0
Click here to see answer by jim_thompson5910(28476)

Question 145660: 8cm
12cm
Click here to see answer by Alan3354(30924)

Question 145804: This is a verbal question that has to do with Quadratic Equations.
Suppose 5 bales of hay are weighed 2 at a time in all possible ways. The weights in pounds are 110, 112, 113, 114, 115, 116, 117, 118, 120, and 121. How much does each of the 5 bales weigh?
I'd appreciate any help with this problem. Thanks.
Click here to see answer by scott8148(6628)

Question 146017: x^2+5x + 6 = 0
solve using the quadriatic equation
Click here to see answer by ankor@dixie-net.com(15622)

Question 146024: The width of a rectangular gate is 2 meters larger than its height. The diagonal brace measures square root of 6 meters. Find the width and height.
Click here to see answer by nerdybill(6948)

Question 146048: 2x+3=4x^2
Click here to see answer by nerdybill(6948)

Question 146179: -m2+3m+4=0
Click here to see answer by stanbon(57203)

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