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Zinaida [17]
3 years ago
6

Solve the following system of equations and show all work. y = x^2 + 3 y = x + 5

Mathematics
1 answer:
RUDIKE [14]3 years ago
7 0
Since both of the equations are equal to y...set them equal to each other.. So it will then be

x^2+3=x+5
      -3     -3
x^2=x+2    ---> x^2-x-2
                       (x-2) (x+1)
                        x=2,-1
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Kaylee and Olivia go to the movie theater and purchase refreshments for their friends.
KatRina [158]

The price of one bag of popcorn is $3.75

Step-by-step explanation:

Let,

x represent the cost of a bag of popcorn

y represent the cost of a drink.

According to given statement;

4x+12y=30      Eqn 1

x+6y=11.25      Eqn 2

Multplying Eqn 2 by 2

2(x+6y=11.25)\\2x+12y=22.50\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 1

(4x+12y)-(2x+12y)=30-22.50\\4x+12y-2x-12y=7.50\\2x=7.50

Dividing both sides by 2

\frac{2x}{2}=\frac{7.50}{2}\\x=3.75

4x+12y=30 and x+6y=11.25 can be used to find the price of one bag of popcorn and the price of one drink.

The price of one bag of popcorn is $3.75

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/11821063
  • brainly.com/question/11871074

#LearnwithBrainly

3 0
3 years ago
Select the correct answer <br> Which is the correct graph for the function <br> F(x)=x+3/x^2-1
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A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points
igomit [66]

Answer:

4

Step-by-step explanation:

The distance from B to C is the same as the distance from A to D. Points B and C will both have the same x-value, as do points A and D. Points B and C will have the same difference in y-values (2 -(-2) = 4) that points A and D have.

The distance from B to C is 4 units.

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What is a proportion (please don't explain it like a teacher)?
dlinn [17]

Answer:

a number to another number

Step-by-step explanation:

One number in comparison to another number

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4 0
3 years ago
Read 2 more answers
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