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Genrish500 [490]
3 years ago
9

Which expression is equivalent to (7x-5)-(-3x+1)

Mathematics
1 answer:
Leokris [45]3 years ago
7 0

Answer:

2(5x - 3)

Step-by-step explanation:

Given that:

=(7x-5)-(-3x+1)

Now by simplifying:

"-" sign before the bracket will alter inner signs

= 7x - 5 + 3x - 1

Adding same terms:

= 10x -6

By taking 2 common:

= 2(5x - 3)

i hope it will help you!

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Solve the following inequality. 45 < 9(x + 3) < 153 A. 8 < x < 14 B. 2 < x < 20 C. 8 < x < 20 D. 2 <
kaheart [24]

Answer:

B

Step-by-step explanation:

hope this help but I worked it out so it should be true

7 0
3 years ago
Please help, I really need this
Nady [450]

9514 1404 393

Answer:

  (a) -- the correct choice is highlighted

Step-by-step explanation:

The units of specific heat tell you what quantities make up the ratio.

  \dfrac{390\text{ J}}{1\text{ kg$\cdot^\circ$C}}=\dfrac{-12.0\text{ J}}{0.012\text{ kg}\cdot\Delta T}\\\\\Delta T=\dfrac{-12.0}{0.012\cdot390}\ ^\circ\text{C}\approx-2.56\text{ $^\circ$C}

The temperature will decrease by 2.56 C.

4 0
3 years ago
How to write a word sentence for x-14=52
Ksju [112]
X - 14 = 52

move - 14 for + 14

x = 52 + 14

x = 66
4 0
3 years ago
Read 2 more answers
A business school has a goal that the average number of years of work experience of its MBA applicants is more than three years.
gizmo_the_mogwai [7]

Answer:

z=\frac{3.1-3}{\frac{2.449}{\sqrt{47}}}=0.280    

p_v =P(z>0.280)=0.390  

If we compare the p value and the significance level assumed \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its NOT significant higher than 0.3 at 1% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=3.1 represent the sample mean

\sigma=\sqrt{6} represent the sample standard deviation for the sample

n=47 sample size  

\mu_o =3 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 3, the system of hypothesis would be:  

Null hypothesis:\mu \leq 3  

Alternative hypothesis:\mu > 3  

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{3.1-3}{\frac{2.449}{\sqrt{47}}}=0.280    

P-value

Since is a one side test the p value would be:  

p_v =P(z>0.280)=0.390  

Conclusion  

If we compare the p value and the significance level assumed \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its NOT significant higher than 0.3 at 1% of signficance.  

3 0
3 years ago
What are the values of the variables in the triangle below? If your answer is not an integer, leave it in simplest radical form.
castortr0y [4]

Answer:

<h2>x = 12</h2><h2 /><h2>y = 4√3</h2>

Step-by-step explanation:

<u>To find x we use cosine</u>

cos∅ = adjacent / hypotenuse

x is the adjacent

8√3 is the hypotenuse

cos 30 = x / 8√3

x = 8√3 cos 30

<h3>x = 12</h3>

<u>To find y we use sine</u>

sin∅ = opposite / hypotenuse

y is the opposite

8√3 is the hypotenuse

sin 30 = y / 8√3

y = 8√3 sin 30

<h3>y = 4√3</h3>

Hope this helps you

5 0
3 years ago
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