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OverLord2011 [107]
3 years ago
7

What are the two solutions to the absolute value equation |2x+3|=7

Mathematics
1 answer:
wel3 years ago
3 0

Step-by-step explanation: We can solve the equation |2x + 3| = 7 by

first splitting things up into two separate equations.

The first equation will look just like the original problem,

minus the absolute value signs and we have 2x + 3 = 7.

The second equation will look just like the first, only the right

side will be changed to a negative and we have 2x + 3 = -7.

Now solve each equation from here.

In our first equation, subtract 3 from both sides to get 2x = 4.

Then divide both sides by 2 and x = 2.

In our second equation, subtract 2 from both sides to get 2x = -10.

Now, divide both sides by 2 and we have x = -5.

So either x = 2 or x = -5.

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Answer:

3.428 or 3 wholes 3/7

Step-by-step explanation:

6 : 7 = n : 4 : 2

6 : 7 = n : 4

6/7 = n/4

7n = 24

n = 24 /7

n = 3. 428 or 3 wholes 3/7

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2 years ago
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Answer:

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2 years ago
How many dots are in the 4th step?
Mkey [24]

Answer:

32

Step-by-step explanation:

if you look at the diagram the dot goes up 1 each. It also makes another row which makes 4 rows total. Since 3 contains 7 dots and 3 rows we would do 8 in 4 rows. 8 x 4 is 32.

Hope this helped!

7 0
2 years ago
Read 2 more answers
From an industrial area 70 companies were selected at random and 45 of them were panning for expansion next year. Find 95% confi
Lana71 [14]

Answer:

Confidence limit = [52.8%, 75.2%]

Step-by-step explanation:

P=\frac{45}{70}= 0.64

(1-P)=1-0.64=0.36

n= 70

P ± z \sqrt{\frac{P(1-P)}{n} }

where the value z will be taken from the z-table for 95% confidence interval

1-0.95= 0.05/2= 0.025

0.95+0.025= 0.0975

From the z-table the value of z corresponding to 0.0975 is 1.96

0.64 ± 1.96 \sqrt{\frac{0.64*0.36}{70} }

0.64 ± 1.96 (0.057)

0.64 ± 0.112

64%% ± 11.2%

so the confidence interval is

64+11.2=75.2%

64-11.2=52.8%

[52.8, 75.2]

8 0
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Parallelogram as well as a quadrilateral with pairs of equal and parallel opposite sides
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