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bekas [8.4K]
4 years ago
14

Which statement represents the simplified form of the given equation and correctly describes the solution? 1/2(4x + 2) = 2(x + 1

/2)
A. X=2; Exactly one real solution

B. X=4; Exactly on real solution

C. Infinite real solutions

D. No real solution
Mathematics
1 answer:
Arada [10]4 years ago
4 0
1/2(4x+2) = 2(x+1/2) | 2x + 1 = 2x + 1 | You subtract 1 on both sides and subtract 2x, therefore making it 0 | D. No real solution
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What does |x| mean? like what do the | | 'bars' symbolize or represent?
zavuch27 [327]

Answer: Absolute Value

Step-by-step explanation:

The | | is a symbol for absolute value. This signifies that the number inside would be positive. Now, this doesn't mean it will always be a number inside absolute value bars. It can also be expressions.

<u>Examples:</u>

|1|: Even though the number inside is a positive 1, we know that it cannot be negative under any circumstances. The only exception would be if there was a negative sign on the outside of the absolute value.

|-1|: We see that there is a -1 in the absolute value. This means that it is actually a 1, not -1. The absolute value is what makes everything inside positive.

|1-5|: To solve this, we know that 1-5=-4. Without the absolute value, the answer -4 would be correct. In this case, we have absolute value, so the answer is actually 4.

|x+2|: x+2 can easily be negative. This would happen is x was a negative number that is smaller than -2. x+2 can also be positive, but the absolute value guarantees that the ending result must be positive.

8 0
3 years ago
Cindy did an experiment. She started out with 700 bacteria cells. She found that the growth rate of the bacteria cells was 4.3%.
Vinvika [58]

Answer:

4.3

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
sam can mow his yard in 5 hours. Lucy can mow the same yard in 3.5 hours. How long will it take them to mow the lawn together?
Elden [556K]

Answer:

Sam workrate 1/5

Lucy workrate 1/3.5 = reciprocal of 7/2 = 2/7

combined workrate: 1/5 + 2/7 = 17/35

they will mow the lawn in  35/17 = 2 and 1/17 hours

2 hours 3 1/2 mins

Step-by-step explanation:

4 0
3 years ago
A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would expect in a 12-ounce package?​
Arada [10]

Answer:

90 pieces

Step-by-step explanation:

If a 6-ounce bag of fruit contains 45 pieces, then a bag two times larger than that bag would likely also be two times larger than how many pieces were in that bag. 45 x 2 = 90.

6 0
4 years ago
Frankie solved the math problem below. Find the error in Frankie's work and explain it in words, using math language. 2 1/3 - 1
HACTEHA [7]

Given:

The expression is

2\dfrac{1}{3}-1\dfrac{2}{5}

To find:

The error in Frankie's work.

Solution:

We need to simplify 2\dfrac{1}{3}-1\dfrac{2}{5}, so

2\dfrac{1}{3}=2\dfrac{1}{3}\times \dfrac{5}{5}

2\dfrac{1}{3}=2\dfrac{5}{15}

and,

1\dfrac{2}{5}=-1\dfrac{2}{5}\times \dfrac{3}{3}

1\dfrac{2}{5}=-1\dfrac{6}{15}

Now,

2\dfrac{1}{3}-1\dfrac{2}{5}=2\dfrac{5}{15}-1\dfrac{6}{15}

2\dfrac{1}{3}-1\dfrac{2}{5}=(2+\dfrac{5}{15})-(1+\dfrac{6}{15})

2\dfrac{1}{3}-1\dfrac{2}{5}=2+\dfrac{5}{15}-1-\dfrac{6}{15}

2\dfrac{1}{3}-1\dfrac{2}{5}=1-\dfrac{1}{15}

2\dfrac{1}{3}-1\dfrac{2}{5}=\dfrac{14}{15}

Therefore, there is error in Frankie's last step. In that step, he did not subtract the mixed fraction correctly.

8 0
3 years ago
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