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3 years ago

#2) Jane wants to have a test average of at least 78.

Mathematics

1 answer:

Vlad [161]3 years ago

5 0

She would have to score atleast a 74 on the test for her average to be 78

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Which represents the solution(s) of the system of equations, y + 4 = x2 and y-x=2? Determine the solution set by

Sergeu [11.5K]

Answer:

The points (-2, 0) and (3,5) are the ONLY solutions of the given sets of equations.

Step-by-step explanation:

Here, the given equations are: $y + 4 = x^{2} , y -x = 2$

Now checking for the given points:

(a) (-2, 0)

Here, $y + 4 = 0 + 4 = 4 = (-2)^{2} = x^{2} \\y- x = 0 -(-2) = 2 = RHS$

Hence, (-2, 0) is the solution of the given equations.

b) Checking for (2,0), as (-2, 0) is a solution as shown above

Here, $y + 4 = 0 + 4 = 4 = (2)^{2} = x^{2} \\y- x = 0 + (-2) = -2 \neq 2(RHS)$

Hence, (2, 0) is NOT the solution of the given equations.

c) Checking for (3,5), as (-2, 0) is a solution as shown above

Here, $y + 4 = 5 + 4 = 9 = (3)^{2} = x^{2} \\y- x = 5 -3 = 2 - (RHS)$

Hence, (3,5), is the solution of the given equations.

Hence, the points (-2, 0) and (3,5) are the ONLY solutions of the given sets of equations.

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3 years ago

Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric, and the length of the table cl

Crank

The tablecloth would have to be 4 feet wide to use all of the fabric. 30=7.5x is the equation to solve this problem. You need to use reverse operations, so 30/7.5=4.

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3 years ago

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I need a step by step explanation on how you solved the equation.

Ghella [55]

Answer: x=3 and y=−2

Step-by-step explanation:

x=−2y−1;4x−4y=20

Step: Solve x=−2y−1 for x:

Step: Substitute−2y−1 for x in 4x−4y=20:

4x−4y=20

4(−2y−1)−4y=20

−12y−4=20(Simplify both sides of the equation)

−12y−4+4=20+4(Add 4 to both sides)

−12y=24

−12y

−12

(Divide both sides by -12)

y=−2

Step: Substitute−2 for y x=−2y−1:

x=−2y−1

x=(−2)(−2)−1

x=3(Simplify both sides of the equation)

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3 years ago

Hannah loved mini-Snickers bars. She enjoyed making treats with them. She used 1/2 of her supply to make a blizzard. She froze 1

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4 dozen. That means she used half, she has 2 dozen left. 1/4 of that is 1/2 of a dozen, so she has 6 or 1/2 a dozen snickers bars left. Is this middle school? I am in middle school and my lessons are constant of proportionality!!

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3 years ago

Which of the following best describes the following expression? √36

Olin [163]

The answer is the positive square root of 36

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