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frozen [14]
2 years ago
10

Find the point(s) of intersection between the quadratic function y = x + 4x + 4 and the linear function y = 2x+4.​

Mathematics
1 answer:
Andrews [41]2 years ago
4 0

Answer:

(0, 4)

Step-by-step explanation:

To find the intersection of two lines, we want to find the value when they equal each other. To do this, we want to set the equations equal to each other.

First, let's simplify y = x + 4x + 4 by combining the x's.

y = 5x + 4

Now let's set the equations equal to each other. Since they both equal y, we can set the opposite sides equal to each other.

5x + 4 = 2x + 4

Now you want to combine the terms.

[subtract 4] 5x = 2x

[subtract 2x] 3x = 0

Now you want to isolate the x.

[divide by 3] x = 0

Now we want to find y by plugging x = 0 back into the equations.

y = 5(0) + 4

[multiply] y = 0 + 4

[add] y = 4

Check this with the other equation.

y = 2(0) + 4

[multiply] y = 0 + 4

[add] y = 4

Your answer is correct!

(0, 4)

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Gala2k [10]

Answer:

Part A= $21.35 || Part B= $4.37

Step-by-step explanation:

That's how money works.

4 0
3 years ago
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Mathilde has 20 pints of green paint. She uses 2/5 of it to paint a landscape and 3 /10 of it while painting a clover. She decid
atroni [7]

Answer:

8

Step-by-step explanation:

Total pints of paint = 20

For landscape :

2/5 * 20 = 8 pints

For clover :

3/10 * 20 = 6 pints

Total used = (8 + 6) = 14

Pints left = 20 - 14 = 6 pints

14 required for next painting

14 - 6 = 8 pints

8 more pints needed

5 0
3 years ago
Does the chart below represent a proportional relationship? What is the rate of change?
Lilit [14]

This chart represents a proportional relationship. The rate of change will be 4.

<h3>What is the constant of proportionality?</h3>

Firstly, there is a proportional relationship.

Two values x  and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called the constant of proportionality.

Given;

x y

1 4

2 8

3 12

4 16

Here, x = ky

put the first value

k = 1/4

This chart represents a proportional relationship.

So the rate of change will be

Rate = \dfrac{y_2 - y_1}{x_2 - x_1}\\\\Rate = \dfrac{8 - 4}{2 - 1}\\\\Rate = 4

Learn more about proportional ;

brainly.com/question/20048815

#SPJ1

5 0
2 years ago
ALGEBRA
Lyrx [107]

Step-by-step explanation:

1. yes 4+16 = 20

2. yes 32 - 4 = 28

3. yes 4(10) = 40

4. no 24/6 = 4

6 0
3 years ago
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I NEED help with my homework. I don’t get it
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Help with what part I can help
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