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Vlad [161]
3 years ago
8

Factor problems 18-20

Mathematics
1 answer:
Goryan [66]3 years ago
5 0

Answer:

18. C (3x -1)(x +8)

19. A (x +1)(x +3)

20. D (3x -2)(x -2)

Step-by-step explanation:

Since you know how to multiply binomials, you can easily check any of the offered answers to see if they work.

(ax +b)(x +c) = ax² +(b+ac)x +bc

___

18. All of the constants except for choice D multiply to give -8, so you must check the middle term:

A b+ac = 1-24 = -23 ≠ 23

B b+ac = -8+3 = -5 ≠ 23

C b+ac = -1+24 = 23 . . . . . this is the answer

D already eliminated because bc = 8 ≠ -8

__

19. The only answer with constants that multiply to give +3 is A.

__

20. The only answer with constants that multiply to give +4 is D.

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Put these decimals in order starting with the smallest.
iVinArrow [24]

Answer:

8.008

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What is the end behavior of this function?<br> As X → + then y →<br> As X1-00 then y →
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Answer:

dot

Step-by-step explanation:

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4 0
3 years ago
In the year 2019, Lee County used approximately 55 million gallons of water. Historical trends show that each year the water dem
Harlamova29_29 [7]

Answer:

Approximately 62 gallons of water will be used by Lee County by the year 2025.

Step-by-step explanation:

The amount, in millions gallons of water, spent by Lee County, in t years after 2019, is given by the following equation:

P(t) = P(0)(1 + r)^{t}

In which P(0) is the amount spent on 2019 and r is the increse rate, as a decimal.

In the year 2019, Lee County used approximately 55 million gallons of water.

This means that P(0) = 55

Historical trends show that each year the water demand is increasing by a rate of approximately 2.1%.

This means that r = 0.021

So

P(t) = P(0)(1 + r)^{t}

P(t) = 55(1 + 0.021)^{t}

P(t) = 55(1.021)^{t}

Approximately how many million gallons of water will be used by Lee County by the year 2025?

2025 is 2025 - 2019 = 6 years after 2019. So this is P(6).

P(t) = 55(1.021)^{t}

P(6) = 55(1.021)^{6}

P(6) = 62.3

Rounded to the nearest millions

Approximately 62 gallons of water will be used by Lee County by the year 2025.

3 0
3 years ago
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