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4 years ago

The graph represents the balance on Harrison’s car loan in the months since purchasing the car.

Mathematics

2 answers:

VLD [36.1K]4 years ago

8 0

Answer:

Harrison makes a monthly payment of $250.

Step-by-step explanation:

edg2020

dimulka [17.4K]4 years ago

4 0

Answer:

Step-by-step explanation:

I think it's the loan balances decreases $500 per month because every month it starts decreasing down by 500

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1. Multiply 2 by -2, which is -4.
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3. Answer: 1 and -4
4. Rewrite $-3x$ as the sum of $x$ and $-4x$

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Step 2: Factor out common terms in the first two terms, then in the last two terms.

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Step 3: Factor out the common term $2x+1$

$(2x+1)(x-2)\ \textless \ 0$

Step 4: Solve for $x$

1. Ask: When will $(2x+1)(x-2)$ equal zero?
2. Answer: When $2x + 1 = 0$ or $x-2=0$
3. Solve each of the 2 equations above:

 $x=- \frac{1}{2} ,2$

Step 5: From the values of $x$ above, we have these 3 intervals to test.
x = < -1/2
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Step 6: Pick a test point for each interval

For the interval $x\ \textless \ - \frac{1}{2} 
$
Lets pick $x=-1.$ Then, $2(-1) ^{2} -3 * -1 -2 \ \textless \ 0$
After simplifying, we get $3\ \textless \ 0$ , Which is false.
Drop this interval.

For this interval $- \frac{1}{2} \ \textless \ x\ \textless \ 2$
Lets pick $x=0$ . Then, $2* 0^{2} - 3 * 0-2\ \textless \ 0$ . After simplifying, we get $-2\ \textless \ 0,$ which is true. Keep this interval.

For the interval $x\ \textgreater \ 2$

Lets pick $x = 3.$ Then, $2 * 3 ^{2} -3*3-2\ \textless \ 0.$ After simplifying, we get $7\ \textless \ 0$ , Which is false. Drop this interval.

.Step 7: Therefore,
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Done! :)

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4 years ago