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koban [17]
3 years ago
10

#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.

5 0
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

=

24

−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)

7 0
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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Which of the following best describes the following expression? √36
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The answer is the positive square root of 36
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