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SVETLANKA909090 [29]
2 years ago
14

Solve |2x + 2| = 10

Mathematics
1 answer:
Vladimir [108]2 years ago
5 0

Answer:

x = - 6 , x = 4

Step-by-step explanation:

the absolute value function always gives a positive value but the expression inside can be positive or negative , that is

2x + 2 = 10 or - (2x + 2) = 10

solving both

2x + 2 = 10 ( subtract 2 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

or

- (2x + 2) = 10

- 2x - 2 = 10 ( add 2 to both sides )

- 2x = 12 ( divide both sides by - 2 )

x = - 6

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Only three rectangles are needed, the one at the bottom and the two at the sides.
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8 0
4 years ago
Read 2 more answers
Equation parallel to y = 3x + 2 and passing through (1, 1)
Kisachek [45]

Answer:

y = 3x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, then

y = 3x + c ← is the partial equation

To find c substitute (1, 1) into the partial equation

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6 0
3 years ago
A national study report indicated that​ 20.9% of Americans were identified as having medical bill financial issues. What if a ne
Alenkasestr [34]

Answer:

The​ p-value for this​ test is 0.22065.

Step-by-step explanation:

We are given that a national study report indicated that​ 20.9% of Americans were identified as having medical bill financial issues.

A news organization randomly sampled 400 Americans from 10 cities and found that 90 reported having such difficulty.

<u><em>Let p = proportion of Americans who were identified as having medical bill financial issues in 10 cities.</em></u>

SO, Null Hypothesis, H_0 : p \leq 20.9%   {means that % of Americans who were identified as having medical bill financial issues in these 10 cities is less than or equal to 20.9%}

Alternate Hypothesis, H_A : p > 20.9%   {means that % of Americans who were identified as having medical bill financial issues in these 10 cities is more than 20.9% and is more severe}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                  T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of 400 Americans from 10 cities who were found having such difficulty =  \frac{90}{400} = 0.225 or 22.5%

            n = sample of Americans = 400

So, <u><em>test statistics</em></u>  =  \frac{0.225-0.209}{{\sqrt{\frac{0.225(1-0.225)}{400} } } } }

                               =  0.77

<u></u>

<u>Now, P-value of the test statistics is given by the following formula;</u>

         P-value = P(Z > 0.77) = 1 - P(Z \leq 0.77)

                                            = 1 - 0.77935 = 0.22065

5 0
3 years ago
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aivan3 [116]
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6 0
3 years ago
Read 2 more answers
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Pani-rosa [81]
The answer is <span>C. y=|x+4|-2</span>
3 0
4 years ago
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