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Questions (77)
A system of equations is given.
−2y = 10 − 5x −3y = −4x +15 Solve for (x, y) using the elimination method. Show all work.
1 answer
38 views
A system of equations is given.
Equation 1: 4x + 3y = 20 Equation 2: 3x + 2y = 12 Explain how to eliminate x in the system of
1 answer
26 views
The total price of a shirt and a cap is $11. If the price of the shirt was doubled and the price of the cap was three times its
1 answer
41 views
Determine which system will produce infinitely many solutions.
−6x + 3y = 18 4x − 3y = 6 2x + 4y = 24 6x + 12y = 36 3x − y
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30 views
The art museum had a total of 224 visitors on Tuesday. Visitors older than 18 paid $12 for admission. Visitors 18 years or
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46 views
What is the solution to the following system of equations?
4x + 2y = 18 x − y = 3 (−4, −1) (1, 4) (−1, −4) (4, 1)
1 answer
22 views
Jason had $32. He spent all the money buying four CDs for x dollars each and two magazines for y dollars each. If Jason had
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29 views
Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets
1 answer
30 views
A business has $25,000 to spend on training sessions for its employees. It wants 45 of its employees to attend. The business
1 answer
38 views
Two lines, X and Y, are graphed:
Line X is drawn by joining ordered pairs negative 3,12 and 7,negative 16. Line Y is drawn by
1 answer
31 views
The graph plots four equations, A, B, C, and D:
Line A joins ordered pair negative 6, 16 and 9, negative 4. Line B joins ordered
1 answer
24 views
Graph the following system of equations.
2x + 4y = 8 2x + 6y = 18 What is the solution to the system? There is no solution. There
1 answer
34 views
A pair of linear equations is shown:
y = −3x + 5 y = x + 2 Which of the following statements best explains the steps to solve
1 answer
53 views
A farmer wants to plant peas and carrots on no more than 200 acres of his farm. If x represents the number of acres of peas and
1 answer
29 views
A music band came to town. The amphitheater filled all 50,000 seats at two-level pricing. Level 1 tickets are $150 each, and
1 answer
31 views
Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets
1 answer
42 views
The function f(t) = 4t2 − 8t + 8 shows the height from the ground f(t), in meters, of a roller coaster car at different times
1 answer
26 views
What is the solution to the following system of equations?
x − 4y = 6 2x + 2y = 12 (0, 10) (10, 0) (6, 0) (0, 6)
1 answer
26 views
A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and
1 answer
28 views
What are the zeroes of f(x) = x2 + 5x + 6?
x = −2, −3 x = 2, 3 x = −2, 3 x = 2, −3
1 answer
23 views
The following inequalities represent a system.
y ≤ 5x + 2 y < −3x − 2 Which of the following graphs represents the system?
1 answer
25 views
A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x − 1) meters:
(3
1 answer
35 views
The water usage at a car wash is modeled by the equation W(x) = 5x3 + 9x2 − 14x + 9, where W is the amount of water in cubic
1 answer
34 views
An icicle drips at a rate that can be represented by the function f(x) = −x2 + 9x − 18, where 0 ≤ x ≤ 10 and x is the
1 answer
31 views
What are the exact solutions of x2 + 5x + 1 = 0 using x equals negative b plus or minus the square root of the quantity b
1 answer
29 views
Graph the following system of equations.
4x + 12y = 12 2x + 6y = 12 What is the solution to the system? There is no solution.
1 answer
43 views
Factor completely 2x2 + 2x − 24.
2(x − 3)(x + 4) (2x − 6)(x + 4) (2x − 3)(x + 8) 2(x − 4)(x + 6)
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25 views
Factor completely 2x2 + 2x − 24.
1 answer
27 views
The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:
f(x) =
1 answer
33 views
he following function represents the production cost f(x), in dollars, for x number of units produced by company 1:
f(x) = 0.05x2
1 answer
37 views
Solve: 25x2 − 30 = 0
Round the answer to the nearest hundredth. x = −1.10 and x = 1.10 x = −26.15 and x = 1.15 x = 0 x =
1 answer
32 views
Identifying the values a, b, and c is the first step in using the quadratic formula to find solution(s) to a quadratic equation.
1 answer
58 views
Use the quadratic formula, x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2
1 answer
33 views
When the solution of x2 − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2, what is the value of r?
x
1 answer
33 views
Solve for x using the quadratic formula: x2 + 2x + 1 = 0
x equals negative b plus or minus the square root of b squared minus 4
1 answer
36 views
A portion of the quadratic formula proof is shown. Fill in the missing reason.
Statements Reasons ax2 + bx + c = 0 Given ax2 + bx
1 answer
61 views
A portion of the quadratic formula proof is shown. Fill in the missing statement.
Statements Reasons x squared plus b over a
1 answer
33 views
A portion of the quadratic formula proof is shown. Fill in the missing statement.
Statements Reasons x squared plus b over a
1 answer
32 views
Use the quadratic formula to find the exact solutions of x2 + 7x − 4 = 0.
x equals negative b plus or minus the square root of
1 answer
71 views
The quadratic equation 5x2 + 45x + 24 = 0 was solved using the quadratic formula, x equals negative b plus or minus the square
1 answer
37 views
Identifying the values a, b, and c is the first step in using the quadratic formula to find solution(s) to a quadratic equation.
1 answer
48 views
The owner of a video game store creates the expression −2x2 + 32x − 8 to represent the store's weekly profit in dollars,
1 answer
59 views
Solve for x: −2(x − 2)2 + 5 = 0
Round your answer to the nearest hundredth. x = 3.58, 0.42 x = 4.52, −0.52 x = −3.58,
1 answer
27 views
The equation 4x2 + 8x + 15 = 0 is being rewritten in vertex form.
Fill in the missing step. Given 4x2 + 8x + 15 = 0 Step 1 4(x2 +
1 answer
32 views
Given the equation 5x2 − 20x + 15 = 0, what are the values of h and k when the equation is written in vertex form a(x − h)2
1 answer
25 views
The expression 8x2 − 64x + 720 is used to approximate a small town's population in thousands from 1998 to 2018, where x
1 answer
32 views
Which of the following reveals the minimum value for the equation 2x2 − 4x − 2 = 0?
2(x − 1)2 = 4 2(x − 1)2 = −4 2(x
1 answer
22 views
A local gym sells monthly memberships. The function f(x) = −x2 + 18x − 72 models the daily profit in dollars, where x is the
1 answer
33 views
The function f(x) = −x2 + 16x − 60 models the daily profit, in dollars, a shop makes for selling candles, where x is the
1 answer
23 views
The height of a hockey puck that is hit toward a goal is modeled by the function f(x) = −x2 + 8x − 10, where x is the
1 answer
32 views
Complete the square to transform the expression x2 + 6x + 5 into the form a(x − h)2 + k.
(x + 6)2 + 4 (x + 6)2 − 4 (x + 3)2
1 answer
30 views
Factor completely 4x2 + 20x.
4(x2 + 5x) x(4x + 20) 4x(x + 5) Prime
1 answer
39 views
Factor completely −5x2 + 10x − 25.
−5(x2 − 2x + 5) −1(x2 − 10x + 25) −5x(x2 − 2x + 5) −5(x2 + 2x − 5)
1 answer
50 views
Factor completely 6x − 18.
6(x + 3) 6(x − 3) 6x (−18) Prime
1 answer
26 views
Factor completely 14x6 + 8x3 + 4x2.
2x2(7x4 + 4x + 2) 2(7x6 + 4x3 + 2x2) x2(14x4 + 8x + 4) Prime
1 answer
56 views
Factor completely −2x3 + 6x2.
−x(2x2 − 6x) 2x(−x2 + 3x) −2x2(x − 3) Prime
1 answer
55 views
What is the greatest common factor of 12 and 30?
2 3 6 12
1 answer
29 views
Factor completely 3x2 + y.
x(3x + y) y(3x2) xy(3x + 1) Prime
1 answer
51 views
Factor completely 3x − 15.
3(x − 5) 3(x + 5) 3x(−15) Prime
1 answer
23 views
Factor completely 3x2 + 9x − 3.
3(x2 + 3) 3(x2 + 3x − 1) 3x(x2 + 3x − 1) Prime
1 answer
32 views
Factor completely 4x2 + 16x.
4x(x + 4) x(4x + 4) 4(x2 + 4x) Prime
1 answer
37 views
Factor completely 2x4y3 − 12x3y2 − 8x2y.
2x2y(x2y2 − 6xy − 4) 2(x4y3 − 6x3y2 − 4x2y) 2y(x4y2 − 6x3y − 4x2) Prime
1 answer
44 views
Factor completely −3x2 + 6x − 9.
−1(3x2 − 6x + 9) −3(x2 + 2x − 3) −3(x2 − 2x + 3) −3x(x2 − 2x + 3)
1 answer
35 views
Factor completely −5x3 + 10x2.
Prime −x(5x2 − 10x) 5x(−x2 + 2x) −5x2(x − 2)
1 answer
50 views
Factor completely 5a2 + b.
Prime a(5a + b) b(5a2) ab(5a + 1)
1 answer
37 views
What is the greatest common factor of x6 and x9?
x3 x6 x9 x15
1 answer
31 views
Factor completely 10x5 + 4x4 + 8x3.
Prime 2(5x5 + 2x4 + 4x3) 2x3(5x2 + 2x + 4) 2x(5x4 + 2x3 + 4x2)
1 answer
63 views
What is the greatest common factor of 8 and 36?
2 4 6 8
1 answer
23 views
What is the 50th term of the linear sequence below?
27 , 25 , 23 , 21 , 19 ,
23 answers
13,023 views
An artifact was found and tested for its carbon-14 content. If 79% of the original carbon-14 was still present, what is its
1 answer
491 views
simplify 5+ 1/3x1/3x1/3-(1/9+1/9)
2 answers
443 views
Simplify 2 3/18 + 5 3/12 - 4 2/4
1 answer
330 views
5/22 - 1 /41 then reduce
3 answers
278 views
Solve: Eighty people were invited to vote in thr extension club's elections and 9/10 of them voted. How many people voted in the
1 answer
422 views
Statistics: Analyze student exam scores
Students were given an exam with 300 multiple choice questions. The distribution of the
1 answer
886 views
A speculator sells a stock short for $55 a share. The company pays a $2 annual cash dividend. After a year has passed, the
0 answers
379 views
What is a compound that has water chemically attached to its ions?
1 answer
546 views