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IgorC [24]
1 year ago
12

Select all statements that are true about the linear equation. y=−2x+4

Mathematics
1 answer:
Zolol [24]1 year ago
5 0

Answer:

Statement 3 and Statement 4 are true about linear equation is y=(-2)x+4

Step-by-step explanation:

The given linear equation is y=(-2)x+4

Now,

Statement 1: The graph of the equation is the set of all points on the coordinate plane.

No,

The graph of equation is set of points on the given equation of line.

Statement 2: The point(0,2) lies on the graph of the equation.

No,

The linear equation is y=(-2)x+4

For point (0,2)

2=(-2)0+4

2=4

FALSE, The point (0,2) does not lies on the graph of the equation.

Statement 3: The graph of the equation is the set of points that are solutions to the equation.

Yes,

The given linear equation is line and set of all point lies on the line are solution of the equation.

Statement 4: The point (1,2) lies on the the graph of the equation.

Yes,

The linear equation is y=(-2)x+4

For point (1,2)

2=(-2)1+4

2=2

TRUE, The point (1,2) lies on the graph of the equation.

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Find the amount of the difference and then divide it by the original amount:


380 - 350 = 30


30 / 350 = 0.0857 = 8.6% increase.  Round the answer as needed.



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Joey is buying plants for his garden. He wants to have at least twice as many flowering plants as nonflowering plants and a mini
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(24, 12) and (36, 0).  The least amount of flowering plants occurs when x=2y, and the largest amount occurs when y=0.  These two points satisfy both conditions and both sum to 36.
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In a game of cornhole, Sasha tossed a bean bag and it landed at the edge of the hole. The hole can be represented by the equatio
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In the game of cornhole, when Sasha tossed a bean bag to the edge of the hole, in which the equations of the hole and bean bag's path are x² + y² = 5 and y = 0.5x² + 1.5x - 4, respectively, she could have tossed her bean bag to the points (1, -2) or (2, 1).              

 

To find the points in which she could have tossed her bean bag, we need to intersect the two equations of the function as follows.

<u>The equation for the hole</u>

x^{2} + y^{2} = 5   (1)

<u>The equation for the path of the bean bag</u>

y = 0.5x^{2} + 1.5x - 4    (2)

By entering equation (2) into (1) we have:  

x^{2} + (0.5x^{2} + 1.5x - 4)^{2} = 5

x^{2} + 0.25x^{4} + 1.5x^{3} - 4x^{2} + 2.25x^{2} - 12x + 16 = 5    

0.25x^{4} + 1.5x^{3} - 0.75x^{2} - 12x + 11 = 0

By solving for <em>x</em>, we have:

x₁ = 1

x₂ = 2

Now, for <em>y</em> we have (eq 2):

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y_{1} = 0.5(1)^{2} + 1.5(1) - 4 = -2

  • <u>x₂ = 2</u>

y_{2} = 0.5(2)^{2} + 1.5(2) - 4 = 1                                              

Therefore, the points are (1, -2) or (2, 1).

To find more about intersections, go here: brainly.com/question/4977725?referrer=searchResults        

I hope it helps you!

8 0
1 year ago
There are 3 feet in 1 yard. This is equivalent to 12 feet in 4 yards. Which proportion can be used to represent this?
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Proportion which can be used to represent equivalency of 3 feet in 1 yard and 12 feet in 4 yard is 3 : 1 : : 12 : 4

<h3><u>Solution:</u></h3>

Given that

There are 3 feet in one yard  

And there are 12 feet in 4 yard  

Number of feet in one yard = 3 that is feet  : yard = 3 : 1  

Number of feet in 4 yards = 12 that is feet : yard = 12 : 4  

And 3 feet in 1 yard is equivalent to 12 feet in 4 yards means

\frac{3}{1}=\frac{12}{4}

That is 3 : 1 : : 12 : 4

A proportion is statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a : b = c : d

Hence proportion which can be used to represent equivalency of 3 feet in 1 yard and 12 feet in 4 yard is 3 : 1 :: 12 : 4

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