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Sidana [21]
3 years ago
5

What is x2+2x-8=0 by factoring ?

Mathematics
1 answer:
Vaselesa [24]3 years ago
7 0

Answer:

(x+4)(x-2)

Step-by-step explanation:

We need to find two numbers that multiply to -8 and add up to 2. These are 4,-2.

Rewrite the polynomial:

x^2-2x+4x-8

and factor each pair:

x(x-2)+4(x-2) = (x+4)(x-2)

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Firstly, we have to find the mean. The mean is simply the average of the numbers, which we find by adding each number in the sequence and then dividing that result by the total amount of numbers.

<em>13.3 + 14.3 + 15.3 + 16.3 + 17.3 = 76.5</em>

<em>76.5 / 5 = 15.3

</em>Okay, so our average is 15.3.
<em>
Now, </em>we have to subtract the mean from each number and then square the result.

<em>(13.3 - 15.3)^2 = 4</em>
<em>(14.3 - 15.3)^2 = 1</em>
<em>(15.3 - 15.3)^2 = 0</em>
<em>(16.3 - 15.3)^2 = 1</em>
<em>(17.3 - 15.3)^2 = 4

</em>Now we have to find the mean of those numbers!
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4 + 1 + 0 + 1 + 4 = 10

10 / 2 = 2

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A coffee shop serves three times as many cups of regular coffee as decaffeinated coffee. If the shop serves d cups of decaffeina
galben [10]

Answer:

Number of cups of regular coffee the shop sells = 3d

Step-by-step explanation:

Let

d = cups of decaffeinated coffee

Three times as many cups of regular coffee as decaffeinated coffee.

Number of cups of regular coffee the shop sells = 3d

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2 years ago
The world population at the beginning of 1980 was 4.5 billion. Assuming that the population continued to grow at the rate of app
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Answer:

Q(t) = 4.5(1.013)^{t}

The world population at the beginning of 2019 will be of 7.45 billion people.

Step-by-step explanation:

The world population can be modeled by the following equation.

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

In which Q(t) is the population in t years after 1980, in billions, Q(0) is the initial population and r is the growth rate.

The world population at the beginning of 1980 was 4.5 billion. Assuming that the population continued to grow at the rate of approximately 1.3%/year.

This means that Q(0) = 4.5, r = 0.013

So

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

Q(t) = 4.5(1.013)^{t}

What will the world population be at the beginning of 2019 ?

2019 - 1980 = 39. So this is Q(39).

Q(t) = 4.5(1.013)^{t}

Q(39) = 4.5(1.013)^{39} = 7.45

The world population at the beginning of 2019 will be of 7.45 billion people.

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