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3 years ago

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

2 answers:

4 0

4x^3 + x^2 – 8x – 2
= (4x^3 + x^2) – (8x + 2)
= x^2 (4x + 1) - 2(4x + 1)
= (x^2 - 2)(4x +1)

hope that helps

ivann1987 [24]3 years ago

4 0

Answer:

A) x2(4x + 1) – 2(4x + 1)

Step-by-step explanation:

Edg

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The Dallas Development Corporation is considering the purchase of an apartment project for $100,000. They estimate that they wil

katovenus [111]

Answer:

The rate of return is 8.15%

This is a good investment

Explanation:

For the first question, you need to find the rate that makes the present value of a stream of ten constant annual payments of $15,000 equal to the $100,000 investment.

The formula that returns the present value of a constant payment is called the annuity formula and is:

$Present\text{ }value=payment\times \bigg[\dfrac{1}{r}-\dfrac{1}{r(1+r)^t}\bigg]$

In your problem you know:

Present value: $100,000
payment: $15,000
r: ?
t: 10

You cannot solve for r directly. You must guess a value and calculate the right side of the equation until to you find the rate that makes it equal to 100,000.

Try 5%:

$\$15,000\times \bigg[\dfrac{1}{0.05}-\dfrac{1}{0.05(1+0.05)^{10}}\bigg]=\$115,826$

Then, the rate of return is greater than 5%. After several trials you will find that the rate of return is 8.15%.

Since this rate is higher than 8%, which is what the company requires, this is a good investment.

5 0

3 years ago

Findes the slope from two points point 1=(4,5) point 2=(6,9)

hoa [83]

Answer:

Step-by-step explanation:

The formula for findining slope it y2-y1/x2-x1

so 9-5=4/ 6-4=2

4/2 is 2

the slope is 2

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3 years ago

Find the slope of the line that passes through the points (0, -3) and (-4, 1).

gayaneshka [121]

Find slope by calculating rise (change in y) over run (change in x).

1-(-3)/-4-0
4/-4
-1

Final answer: A

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3 years ago

5. Two vertices of a rectangle are (8,-5) and (8,7). If the area of the rectangle is 72 square units, name the possible location

Phantasy [73]

Answer:

Given vertices:

(8, -5) and (8, 7)

These have same x-coordinate, so when connected form a vertical segment.

The length of the segment is:

7 - (-5) = 12 units

The area of the rectangle is 72 square units, so the horizontal segment has the length of:

72/12 = 6 units

Possible location of the remaining vertices (to the left from the given):

(8 - 6, -5) = (2, -5)

and

(8 - 6, 7) = (2, 7)

Similarly to previous exercise:

(5, -8) and (5, 4) given with the area of 48 square units

The distance between the given vertices:

4 - (-8) = 12 units

The other side length is:

48/12 = 4 units

Possible location of the other vertices (to the right from the given):

(5 + 4, -8) = (9, -8)

and

(5 + 4, 4) = (9, 4)

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3 years ago

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Vinil7 [7]

Answer:

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2 years ago

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