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algol13
3 years ago
11

Math help plz answer with work

Mathematics
2 answers:
steposvetlana [31]3 years ago
8 0

Answer:

1/10≤x

Step-by-step explanation:

Lets write out the equation to make it easy.

4≥(-2x+1)*5

Lets distribute the 5

4≥-10x+5

Subtract the 5 from both sides

4-5≥-10x+5-5

Do the subtraction

-1≥-10x

Divide both side by -10

-1/-10≤-10x/-10

Divide

1/10≤x

Mrrafil [7]3 years ago
4 0

Answer:

1/10 ≤ x

Step-by-step explanation:

4≥ (-2x+1) 5

Distribute

4≥ -2x* 5+1*5

4≥ -10x +5

Subtract 5 from each side

4-5≥ -10x

-1 ≥ -10x

Divide each side by -10  Remember to flip the inequality sign

-1/-10 ≤ -10/-10x

1/10 ≤ x

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Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?
Gwar [14]

Answer:

x = - 2, x = 6

Step-by-step explanation:

Given f(x) = 18 we require to solve

3 | x - 2 | + 6 = 18 ( subtract 6 from both sides )

3 | x - 2 | = 12 ( divide both sides by 3 )

| x - 2 | = 4

The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus

x - 2 = 4 ( add 2 to both sides )

x = 6

OR

- (x - 2) = 4

- x + 2 = 4 ( subtract 2 from both sides )

- x = 2 ( multiply both sides by - 1 )

x = - 2

As a check substitute these values into the left side of the equation and if equal to the right side then they are the solutions

x = 6 → 3|6 - 2| + 6 = 3|4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True

x = - 2 → 3|- 2 - 2| + 6 = 3|-4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True

Hence solutions are x = - 2, x = 6

7 0
3 years ago
Read 2 more answers
What is the answer?<br><br> ____÷ (-2) = (-3)
Margaret [11]

Answer:

6÷ (-2) = (-3)

Step-by-step explanation:

i used a calculator

but good question

6 0
4 years ago
In 2005, the population of a state was 31,006,000. If the population grows at 1.2% per year, approximately how
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Answer:

Step-by-step explanation:

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3 years ago
Which methods could you use to calculate the y-coordinate of the midpoint of a vertical line segment with endpoints at (0,0) and
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Answer:

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Step-by-step explanation:

½[0+(-12)]

½[0-12]

½[-12)

y co-ordinate of the midpoint is -6

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