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sveta [45]
3 years ago
9

6. Consider the inequality 12<-3 (x + 4). Which value of x is part of the solution set of this inequality?

Mathematics
1 answer:
Naily [24]3 years ago
7 0

Answer:

-8

Step-by-step explanation:

12<-3 (x + 4)

1. distribute to the -3 to the x and 4 and should get

<em><u>-3*x = -3x</u></em>

<em><u>-3*4 = -12</u></em>

<u>12< -3x - 12</u>

2. now you get rid of the common factors which is -12 so add 12 to both sides and should get

-12+12=0

12+12=24

<u>24< -3x</u>

3. to get x by itself you will have to get rid of -3, so how to do that is divide -3 to both side and should get

-3x/-3= x

24/-3= -8

<u>-8<x</u>

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Sydney needs to earn $35 so she can buy her father a birthday present. her mom said she can make $6 per hour cleaning around the
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f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

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On a bike trip across the United States, Ronney notes that he covers about 190 miles every 4 days. If he continues at this rate,
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Using a ratio table to determine the number of miles that Ronney could bike in 6 days as <u>285 miles</u> is as follows:

<h3>Ratio Table:</h3>

Day                 Miles Biked

Day One            47.5

Day Two           95.0

Day Three       142.5

Day Four         190.0

Day Five         237.5

Day Six          285.0

<h3>What is a ratio table?</h3>

A ratio table is a structured list of equivalent (equal value) ratios that explain the relationship between the ratios and the numbers.

<h3>Data and Calculations:</h3>

Day                 Miles Biked

Day One            47.5 (190/4)

Day Two           95.0 (190/4 x 2)

Day Three       142.5 (190/4 x 3)

Day Four         190.0 (190/4 x 4)

Day Five         237.5 (190/4 x 5)

Day Six           285.0 (190/4 x 6)

Thus, in six days, Ronney biked <u>285 miles</u> based on the ratio table.

Learn more about ratio tables at brainly.com/question/27817533

#SPJ1

4 0
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