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3 years ago

A) solve the inequalities -6<4x<8

Mathematics

1 answer:

Komok [63]3 years ago

8 0

A itching I thing sorry am just not sure Keyshawn

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The following function represents the value of a house after x years: f(x) = 242,000(0.96)x What does 0.96 represent?

9966 [12]

Because the 0.96 is less than 1, it means that the house loses value over the years.

Convert 0.96 to a percent: 0.96 = 96%

100% - 96% = 4%

The house loses 4% of it's value every year.

5 0

3 years ago

Which of the following is a solution of x2 + 6x = −18? x = 3 − 3i x = −3 + 3i x = −6 + 3i x = 6 − 3i

Marina86 [1]

Step 1 ) Move all terms right side of the equation.

$\displaystyle\ x^{2} + 6x = -18$

$\displaystyle\ x^{2} + 6x + 18 = -18 + 18$

$\displaystyle\ x^{2} +6x + 18 = 0$

Step 2 ) Apply quadratic formula. (Note: There are 2 solutions)

$\displaystyle\ x^{2} +6x + 18 = 0$

$\displaystyle\ x = \frac{-b\sqrt{b^{2}-4ac}}{2a}, \displaystyle\ x = \frac{-b-\sqrt{b^{2}-4ac}}{2a}$

$\displaystyle\ x = \frac{-6+\sqrt{6^{2}-4 * 18}}{2} , \displaystyle\ x = \frac{-6-\sqrt{6^{2}-4*18}}{2}$

$\displaystyle\ x = \frac{-6+6i}{2}$ ,

$\displaystyle\ x = \frac{-6-6i}{2}$

Step 3 ) Simplify.

$\displaystyle\ x = \frac{-6+6i}{2}$ ,

$\displaystyle\ x = \frac{-6-6i}{2}$

$\displaystyle\ x = -3+ 3i$ ,

$\displaystyle\ x = -3 - 3i$

Since the options only provide one of the answer we found, the answer is...

$\displaystyle\ x = -3 - 3i$

•

- <em>Marlon Nunez</em>

6 0

3 years ago

Read 2 more answers

The boy the apartment building is filling a pool 30 ft long 20 feet wide and 5 feet deep it has been filled 4 ft deep how many m

inn [45]

Capacity of the pool = 30 x 20 x 5 = 3000 ft³

Amount of water already filled = 30 x 20 x 4 = 2400 ft²

Amount of water needed to full the pool = 3000 - 2400 = 600 ft²

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Answer: 600 ft² of water is needed to fill up the pool.
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4 0

4 years ago

Read 2 more answers

7p-(3p+4)= -2(2p-1) + 10<br> Solve each equation.

Aliun [14]

Perform the indicated multiplication:

<span>7p-(3p+4)= -2(2p-1) + 10

becomes

7p - 3p - 4 = -4p + 2 + 10

Group like terms:

7p - 3p + 4p = 2 + 10 + 4

8p = 16 => p = 2 (answer)</span>

8 0

3 years ago

Find the common difference for the sequence shown: [1/5, 13/40, 9/20...)

bazaltina [42]

<h3>Answer: 1/8</h3>

Explanation:

Pick any term and subtract off the previous term to get the common difference.

So,

13/40 - 1/5 = 13/40 - 8/40 = (13-8)/40 = 5/40 = 1/8

9/20 - 13/40 = 18/40 - 13/40 = (18-13)/40 = 5/40 = 1/8

The positive common difference value indicates this arithmetic sequence is increasing.

6 0

3 years ago