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Zepler [3.9K]
3 years ago
5

Solve the linear equation: x-y=7 0.5x+y=5

Mathematics
1 answer:
evablogger [386]3 years ago
4 0

Add the equations.

x-y%2B0.5x%2By=7%2B5

1.5x=12

 

highlight%28x=8%29

Now use either equation to solve for y.

8-y=7

highlight%28y=1%29

x=8

y=1

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The flight of a cannonball toward a hill is described by the parabola y=2+0.12x- 0.0004x^2
Stells [14]

The computation shows that the placw on the hill where the cannonball land is 3.75m.

<h3>How to illustrate the information?</h3>

To find where on the hill the cannonball lands

So 0.15x = 2 + 0.12x - 0.002x²

Taking the LHS expression to the right and rearranging we have:

-0.002x² + 0.12x -.0.15x + 2 = 0.

So we have -0.002x²- 0.03x + 2 = 0  

I'll multiply through by -1 so we have

0.002x² + 0.03x -2 = 0.

This is a quadratic equation with two solutions x1 = 25 and x2 = -40 since x cannot be negative x = 25.

The second solution y = 0.15 * 25 = 3.75

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Complete question:

The flight of a cannonball toward a hill is described by the parabola y = 2 + 0.12x - 0.002x 2 . the hill slopes upward along a path given by y = 0.15x. where on the hill does the cannonball land?

6 0
2 years ago
Use the FOIL Method to find (x−4)(x+8).
Oksi-84 [34.3K]

Answer:

x^2 +4x - 32

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8 0
3 years ago
What’s the answer to this equation?
Tresset [83]

Answer:

Part A) The graph in the attached figure

Part B) see the explanation

Step-by-step explanation:

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using a graphing tool

The graph in the attached figure

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we know that

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we know that

The x-coordinate of the vertex in a vertical parabola is equal to the midpoint of the roots

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c=\frac{a+b}{2}

substitute the given values

c=\frac{-2+6}{2}=2

see the attached figure

7 0
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An album sells for $17.00 through an online music service. If the album is 20% off, and sales tax is 6%, what is the total price
V125BC [204]

Answer:

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