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andrezito [222]
3 years ago
9

(08.03 MC)

Mathematics
2 answers:
tester [92]3 years ago
7 0
The trick here is to notice that all 3 terms can be div. by 2:

2(x^2 + x - 12)

Note that -12 factors into -3 * 4 or -4 * 3.  Thus,

x^2 + x - 12 = (x-4)(x+3), and so <span>2x2 + 2x − 24 = 2(x-4)(x+3).</span>
masya89 [10]3 years ago
4 0

Answer:

2(x − 3)(x + 4)

Step-by-step explanation:

We have to factor the expression 2x^2+2x-24

Factor out GCF which is 2

2(x^2+x-12)

We can write the middle term as : x = 4x-3x

2(x^2+4x-3x-12)

Now, we factor out GCF as follows

2(x(x+4)-3(x+4))

Now, factored out the common term

2((x+4)(x-3))

First option is correct.

Factored form is given by 2(x − 3)(x + 4)

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The hourly wages earned by 20 employees are shown in the first box and whisker plot below. The person earning $15 per hour quits
serg [7]

I added the plots in the attachments.

<u><em>Answer:</em></u>

The mean will decrease

The median will remain the same

<u><em>Explanation:</em></u>

<u>1- checking the mean:</u>

<u>Mean of the salaries is calculated as follows:</u>

Mean = \frac{sum-of-salaries}{number-of-employees}

<u>Now, we can note that two parameters affect the mean, let's consider each:</u>

<u>a. Number of employees:</u>

We are given that one employee is replaced with another. This means that the number of employees did not change

<u>b. Sum of salaries:</u>

We are given that a person earning $15 left and the new person earns $7. This means that:

New sum of salaries = old sum of salaries - 15 + 7 = old sum of salaries - 8

This means that the sum of salaries decreased by 8

<u>Now, for the mean:</u>

We can conclude that since the numerator decreased while the denominator stayed the same, the mean will decrease

<u>2- checking the median:</u>

In the whisker plots, the median is represented by the vertical line inside the plot.

<u>In the first plot,</u> we can note that the vertical line is nearly half the distance between 9 and 10. This means that, for the first plot, the median is approximately 9.5

<u>In the second plot,</u> the place of the median is unchanged. It is still approximately midway between 9 and 10 which means that the median in the second plot is approximately 9.5

Therefore, the median of the data remains unchanged.

Hope this helps :)

5 0
3 years ago
Read 2 more answers
Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?
kaheart [24]

Answer:

\large\boxed{x\in[-5,\ \infty)}

Step-by-step explanation:

f(x)=\dfrac{1}{2}x^2+5x+6\\\\\text{The coeficient of}\ x^2\ \text{is the positive number. Therefore the parabola is op}\text{en up}.\\\\\text{If a parabola op}\text{en up, then the graph increasing in interval}\ (h,\ \infty),\\\text{and decreasing in interval}\ (-\infty,\ h).\ \text{Where}\ h\ \text{is a first coordinate of a vertex.}\\\\\text{For}\ y=ax^2+bx+c,\ h=\dfrac{-b}{2a}.\\\\\text{We have}\ a=\dfrac{1}{2}\ \text{and}\ b=5.\ \text{Substitute:}\\\\h=\dfrac{-5}{2\left(\frac{1}{2}\right)}=-\cdot\dfrac{5}{1}=-5.

8 0
3 years ago
Read 2 more answers
Answer to the question
viktelen [127]

Answer:

x = 48.

Step-by-step explanation:

If AE is 921, then EC is equivalent to that. First, you subtract 9 from 921, then divide by nineteen to get your answer: x = 48.

5 0
3 years ago
Given mn, find the value of x.
Ksivusya [100]

Answer:

x = 19

Step-by-step explanation:

The two angles with measures are supplementary.

6x + 9 + 4x - 19 = 180

10x - 10 = 180

10x = 190

x = 19

5 0
2 years ago
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5 cups to 8 cups <br> identify the percent
Kipish [7]
Well I am going to guess and i don't know if it right but 156.25ml
5 0
3 years ago
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