Solve and graph the absolute value inequality: |2x + 4| > 8

Mathematics

1 answer:

neonofarm [45]3 years ago

4 0

Answer:

Step-by-step explanation:

To get rid of the absolute value bars you have to get two different equations which would be 2x+4>-8 AND 2x+4>8. Pay attention to the signs, if there is greater than or equal to then it would have a line underneath the sign, which neither of the equations should have since you haven't moved a negative. solve normally and you'll get -6 blank circle and 2 blank circle.

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kakasveta [241]

Answer:

<u>Create a function representing number of published articles per month:</u>

$a=12m+60$

Where:

a = total number of articles published
m = number of months
12 = slope = number of articles published per month
60 = y-intercept = number of published articles at the start (month 0)

<u>Now substitute in the values of m to get the a-value:</u>

m = 1 → a = 12(1) + 60 = 72
m = 3 → a = 12(3) + 60 = 36 + 60 = 96
m = 4 → a = 12(4) + 60 = 48 + 60 = 108
m = 9 → a = 12(9) + 60 = 108 + 60 = 168

6 0

3 years ago

A painter works 37.5 hours one week. If she worked 5 days, how many hours did she work on average per day? At $15.75 per hour, h

Lyrx [107]

She worked 7.5 hours a day on average. You can get this by dividing the 37.5 by 5.

And the average she made was 118.13 when rounded. You can get this by multiplying the 7.5 by the rate

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3 years ago

Give the algebraic expression by using variables and constant and arithmetic operations: i. Sum of the squares of x and y. ii.Pr

Olenka [21]

Answer:

a) x^2 + y^2

b) 9-xy

Step-by-step explanation:

Here, we want to write the algebraic statements as expressions;

a) The sum of the squares of x and y

The square of x is x^2

The square of y is y^2