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denis23 [38]
3 years ago
13

|2x + 2| + 7 \geqslant - 3" alt=" - 5 |2x + 2| + 7 \geqslant - 3" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
blagie [28]3 years ago
5 0

Answer:

The inequality that comes from this equation is -2 < x < 0

Step-by-step explanation:

In order to solve this equation, we need to start by solving for the absolute value portion of the equation.

-5l2x + 2l + 7 > -3

-5l2x + 2l > -10

l2x + 2l < 2

Now we need to split the equation into two different portions. One with the absolute value symbol taken away. Then we do it again with the symbol flipped and the answer negated.

2x + 2 < 2

2x < 0

x < 0

And the negated version.

2x + 2 > -2

2x > -4

x > -2

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Perform the indicated operation.(3/a+2) + (4/a-5)
kipiarov [429]

Answer:

\frac{7(a-1)}{(a+2)(a-5)}

Step-by-step explanation:

To solve this operation we need to find the common multiple of both denominators and solve for a.

\frac{3}{a+2} + \frac{4}{a-5} =\frac{3(a-5)+4(a+2)}{(a+2)(a-5)} =\frac{3a-15+4a+8}{(a+2)(a-5)} =\frac{7a-7}{(a+2)(a-5)} =\frac{7(a-1)}{(a+2)(a-5)}

Thus, the solution is 7(a -1) / (a+2)(a-5)

8 0
3 years ago
Hayley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week, and her brother is spending $15 each
Sindrei [870]

Answer:

After 3 weeks they both will have the same amount in their savings account.

Step-by-step explanation:

Given:

Amount saved by Haley = $155

Amount saved by Hank = $230

Amount saving each week by Haley = $10

Amount spending each week by Hank = $15

We need to find Number of weeks when both both will have same amount in savings account.

Solution:

Let Number of week be 'x'.

Total Amount of Haley can be calculated by Amount saved by Haley plus Amount saving each week by Haley multiplied by number of weeks.

framing in equation form we get;

Total Amount of Haley = 155+10x

Also;

Total Amount of Hank can be calculated by Amount saved by Hank minus Amount spending each week by Hank multiplied by number of weeks.

framing in equation form we get;

Total Amount of Hank = 230-15x

Now we need to find the number of weeks when both will have same amount.

To find the same we will have to make both the equation equal.

So we can say.

155+10x=230-15x

On Solving above equation we get;

We will combine the like terms together;

10x+15x =230-155\\\\25x = 75

Now Dividing both side by 25 using Division property of equality we get;

\frac{25x}{25} = \frac{75}{25}\\\\x=3 \ weeks

Hence, After 3 weeks they both will have the same amount in their savings account.

4 0
3 years ago
Mark is planning to swim the 200-yard freestyle event at the next
bazaltina [42]
Mark will swim 182.88 meters
7 0
2 years ago
Which expression is equivalent to 10f - 5f + 8 + 6g + 4? I’ll mark Brainliest :D
IrinaK [193]

Answer:

The answer is 5f + 6g +12

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please help i dont understand at all :(
andrey2020 [161]
180 - 46 - 24 = 110

d+ 80 = 110
d = 30

answer
d = 30
3 0
3 years ago
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