Which equation matches the graph shown below?

Mathematics

1 answer:

MrRa [10]2 years ago

8 0

Given that the graph shows tha the functión at x = 0 is below the y-axis, the constant term of the function has to be negative. This leaves us two possibilities:

y = 8x^2 + 2x - 5 and y = 2x^2 + 8x - 5

To try to discard one of them, let us use the vertex, which is at x = -2.

With y = 8x^2 + 2x - 5, you get y = 8(-2)^2 + 2(-2) - 5 = 32 - 4 - 5 = 23 , which is not the y-coordinate of the vertex of the curve of the graph.

Test the other equation, y = 2x^2 + 8x - 5 = 2(-2)^2 + 8(-2) - 5 = 8 - 16 - 5 = -13, which is exactly the y-coordinate of the function graphed.

Then, the answer is 2x^2 + 8x -5

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son4ous [18]

The fill up for the 3rd step is y - 250 = 340x.

The fill up of the 5th step is $x = \frac{y-250}{340}$

The fill up of the 6th step is $\frac{8750-250}{340} = 25 = x, \frac{8750-250}{340}= 34 = x$

The justification for the 2nd step is subtraction PE.
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<h3>What is the simplification about?</h3>

Note that:

y-250 = 250 + 340 x - 250

y = 250 + 340x.

Make x the subject of the formula:

y - 250 = 340x.

then y-250/340 = x

Then $x = \frac{y-250}{340}$

The justification for the second step is subtraction property of equality because it undergoes subtraction and the collection of like terms and then subtracting them from one another as shown below:

y-250 = 250 + 340 x - 250

y= 250 + 340x - 250 + 250

Note that (-250 + 250) = 0

y = 250 + 340x.

Lastly, The fill up of the 6th step is substitution of the amount of money saved and then simplifying it.

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1 year ago

How do I find x? I am not sure how to get it because of the lines

JulsSmile [24]

A triangle's angles will always equal up to 180. Since you already have to of the angles, you will add them up together. 30+20=50. Then, you take 180 and subtract it by the sum of the two previous angles. 180-50=130. Now you know the last angle is 130. You also know that the missing angle is also 130. The reason for that is because the two angles are the exact same if you look at it.

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2 years ago

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Answer:

30% is the correct answer.

Step-by-step explanation:

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To find:

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