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juin [17]
3 years ago
6

|6m|=42 please help me with absolute value

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0
Since there is nothing on the left side of the equation besides the absolute value, you have to take 6m out of the absolute value and create 2 separate equations. These 2 equation will be 6m = 42 and 6m = -42.

You solve the equations normally:
6m = 42     6m = -42     (inverse to get m by itself, do on both sides)
/6      /6      /6       /6

  m = 7        m = -7


The answer is a solution set:
[7, -7]

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What is the equation of the axis of symmetry of a parabola if its x-intercepts are –3 and 5?
melisa1 [442]

Answer:

x = 1

Step-by-step explanation:

The axis of symmetry is a vertical line and is located at the midpoint of the x- intercepts, thus

x = \frac{-3+5}{2} = \frac{2}{2} = 1

That is equation of symmetry is x = 1

6 0
3 years ago
Watching tv: in 2012, the general social survey asked a sample of 1310 people how much time they spend\t watching tv each day. T
garik1379 [7]

Answer:

a) Null hypothesis:\mu \geq 3  

Alternative hypothesis:\mu < 3  

This hypothesis test is a left tailed test.

b) t=\frac{2.8-3}{\frac{2.6}{\sqrt{1310}}}=-2.784  

The p value for this case can be calculated with this probability:  

p_v =P(z  

We can conduct the test with the Ti84 using the following steps:

STAT>TESTS>T-test>Stats

We input the value \mu_o =3, \bar X= 2.8, s_x = 2.6, n=1310 and for the alternative we select < \mu_o. Then press Calculate.

And we got the same results.  

Step-by-step explanation:

Information given

\bar X=2.8 represent the sample mean

s=2.6 represent the population standard deviation  

n=1310 sample size  

\mu_o =3 represent the value to test

\alpha=0.5 represent the significance level for the hypothesis test.  

t would represent the statistic

p_v represent the p value for the test

Part a) System of hypothesis

We want to test if the true mean is less than 3, the system of hypothesis would be:  

Null hypothesis:\mu \geq 3  

Alternative hypothesis:\mu < 3  

This hypothesis test is a left tailed test.

Part b

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

Replacing the info given we got:

t=\frac{2.8-3}{\frac{2.6}{\sqrt{1310}}}=-2.784  

The p value for this case can be calculated with this probability:  

p_v =P(z  

We can conduct the test with the Ti84 using the following steps:

STAT>TESTS>T-test>Stats

We input the value \mu_o =3, \bar X= 2.8, s_x = 2.6, n=1310 and for the alternative we select < \mu_o. Then press Calculate.

And we got the same results.  

3 0
3 years ago
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Dafna11 [192]

Answer:

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10x-4-7+x=10x-11 is your answer

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Answer:

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