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alina1380 [7]
2 years ago
12

John works at a local fast food restaurant for $8.50 per hour. He decides to save 20% of his wages for college. His parent gave

him $300 to start his college fund. Which equation below describes the amount of money John saves for college?

Mathematics
1 answer:
Tanzania [10]2 years ago
3 0

Answer:

D

Step-by-step explanation:

money given by parents = $300

earning per hour = $8.5

0.2 × 8.5 = $1.7

y = saving for college

x = hours he worked

y = saving from wages + given by parents

y = 1.7x + 300

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Answer:

3x² + 6x - 24 = 0

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Step-by-step explanation:

3x² + 6x - 24 = 0

(3x - 6)(x + 4) = 0

Means

3x - 6 = 0 ⇒ 3x = 6 ⇒ x = 6 ÷ 3 = 2

x + 4 = 0 ⇒ x = -4

The Parabola which represents the quadratic equation intersects x-axis at

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Answer:

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Step-by-step explanation:

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For example, he could have a 4 by 4 patio, 5 by 5, etc.

121 happens to be the square of 11. In other words, 11*11=121!

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6 0
3 years ago
Please help solve this system of equations
stepan [7]

Make a substitution:

\begin{cases}u=2x+y\\v=2x-y\end{cases}

Then the system becomes

\begin{cases}\dfrac{2\sqrt[3]{u}}{u-v}+\dfrac{2\sqrt[3]{u}}{u+v}=\dfrac{81}{182}\\\\\dfrac{2\sqrt[3]{v}}{u-v}-\dfrac{2\sqrt[3]{v}}{u+v}=\dfrac1{182}\end{cases}

Simplifying the equations gives

\begin{cases}\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81}{182}\\\\\dfrac{4\sqrt[3]{v^4}}{u^2-v^2}=\dfrac1{182}\end{cases}

which is to say,

\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81\times4\sqrt[3]{v^4}}{u^2-v^2}

\implies\sqrt[3]{\left(\dfrac uv\right)^4}=81

\implies\dfrac uv=\pm27

\implies u=\pm27v

Substituting this into the new system gives

\dfrac{4\sqrt[3]{v^4}}{(\pm27v)^2-v^2}=\dfrac1{182}\implies\dfrac1{v^2}=1\implies v=\pm1

\implies u=\pm27

Then

\begin{cases}x=\dfrac{u+v}4\\\\y=\dfrac{u-v}2}\end{cases}\implies x=\pm7,y=\pm13

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8 0
3 years ago
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Answer:

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Answer:

Start from the origin(0,0) since there is no y-intercept. Go up 4 and over 1.

Step-by-step explanation:

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