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3 years ago

-2(3x+4)<-4+8 solve the inequality

Mathematics

2 answers:

Shtirlitz [24]3 years ago

8 0

Answer:

Inequality: x > -2

Interval Notation: ( -2, ∞)

Step-by-step explanation:

mario62 [17]3 years ago

8 0

Answer:

x > -2

Step-by-step explanation:

-2(3x+4) < -4+8 (evaluate right side)

-2(3x+4) < 4 (expand the parentheses on the left side using distributive property)

3x(-2) + 4(-2) < 4

-6x - 8 < 4 (add 8 to both sides)

-6x < 4 + 8

-6x < 12 (divide both sides by 6)

-x < (12/6)

-x < 2 (multiply both sides by -1; remember to flip the sign when multiplying both sides by a negative number)

x > -2

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3 years ago

The equation of line L is y=5x+1

vovikov84 [41]

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

L₁ is y = 5x + 1 ← in slope- intercept form

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3 0

2 years ago

A warehouse worker fills 150 orders per day on average. From day to day, the number of orders varies by 2%. What is the range of

choli [55]

Answer:

The range is from 147 to 153 orders per day

Step-by-step explanation:

orders varies by 2% means that orders can be LOWER THAN THE AVERAGE, or HIGHER THAN THE AVERAGE.

That is, by 2%.

First, we need to find the decimal of 2%, so

2/100 = 0.02

We multiply this with the average number of order, 150, to get the varying amount:

0.02 * 150 = 3

Thus, the range would be:

150 - 3 = 147

150 + 3 = 153

The range is from 147 to 153 orders per day

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3 years ago