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Yanka [14]
3 years ago
9

1. What is the simplified form of (x-3)/(x^2+x-12)• (x+4)/(x^2+8x+16) ?. . 2.What is the simplified form of (x+1)/(x^2+x-6) divi

ded by (x^2+5x+4)/(x+3)?. . 3.What is the simplified form of (y)/(y^2-x^2) – (x)/(y^2-x^2) ?. . 4. What is the simplified form of (2)/(x^2-x) - (1)/(x) ?. .
Mathematics
1 answer:
WARRIOR [948]3 years ago
7 0
To simplify an equation like this you must factor out the binomial equation and proceed in cancellation of the same equation.
1. (x-3)/(x-3)(x-4) answer is (x-4)
2.the simplified form after the cancellation is 1/(x-2)(x+4)
3.y+x
4.2x-1/x
I hope i answered your questions correctly
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Answer:

9% fund: $ 210,000

13% fund: $70,000

Step-by-step explanation:

As she wants to have a $28,000 annual return for her $280,000 investment, she is expecting a return rate of 10%:

r=\dfrac{R}{C}=\dfrac{28,000}{280,000}=0.10

If we call x the proportion of the capital in the 9% fund, then (1-x) is the proportion of the capital in the 13% fund,and the return of the combination has to be the expected return of 10%:

0.09x+0.13(1-x)=0.10\\\\0.09x+0.13-0.13x=0.10\\\\-0.04x=0.10-0.13=-0.03\\\\x=\dfrac{0.03}{0.04}=0.75

Then, we know that 75% of the capital should be invested in the 9% fund and 25% in the 13% fund.

This correspond to a capital of:

9% fund: 0.75*$280,000 = $ 210,000

13% fund: 0.25*$280,000 = $70,000

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What is the domain of the function represented by the following graph?
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Hello!

The domain of the function are the x-values that make the function true.

Since the graph has open circles and filled in circles, the open circles make the function false (written as <) , and the filled in circles make it true (written as ≤).

From the graph, the x value -3, and 2 are open circles. While the value -0.5 are filled in circles. Also, from the interval (-0.5, 2), there is gap, so it is part of the domain.

Therefore, the domain of the function is: {x | -3 < x ≤ -0.5} ∪ {x | 2 < x < ∞}, which is the third choice.

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Answer:

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Step-by-step explanation:

So you've already driven 124, so you would just subtract taht from 239

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