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3 years ago

Solve the inequality for 4(x+1)<-6

2 answers:

7 0

Distribute
4x+4(less than) -6

Subtract 4 on both side
4x(less than) -10

divide 4 both sides
x(less than)-2.5

(Final answer is bold) Good luck

lozanna [386]3 years ago

7 0

First you multiply 4 by x and 4 by 1
You now have 4x+4<-6
Now subtract 4 from both sides,
giving you 4x<-10
divide 4
and the answer is x<-2.5

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Pls help I will give you a crown pls 13 points

boyakko [2]

Option C: $y = \frac{1}{2}x+\frac{5}{2}$ is the right answer

Step-by-step explanation:

Given points are:

(x1,y1) = (-1,2)

(x2,y2) = (3,4)

First of all, the slope has to be found

$m =\frac{y_2-y_1}{x_2-x_1}\\=\frac{4-2}{3+1}\\= \frac{2}{4}\\=\frac{1}{2}$

The slope-intercept form of line is:

$y = mx+b$

Putting the value of m

$y = \frac{1}{2}x+b$

Putting (3,4) in equation

$4 = \frac{1}{2}(3) +b\\4 = \frac{3}{2} +b\\b = 4 - \frac{3}{2}\\= \frac{8-3}{2}\\=\frac{5}{2}$

Putting the value of b

$y = \frac{1}{2}x+\frac{5}{2}$

Hence,

Option C: $y = \frac{1}{2}x+\frac{5}{2}$ is the right answer

Keywords: Equation of line, slope

Learn more about equation of line at:

#LearnwithBrainly

4 0

3 years ago

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ale4655 [162]

1: 2(3y+4)+9=
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3 0

4 years ago

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Mkey [24]

Answer:

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3 years ago

How many liters of acid needs to be added to convert a 6-liter 25% acid solution to a 30% acid solution

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2 years ago

A group of friends wants to go to the amusement park. They have no more than $165

Oksi-84 [34.3K]

Answer:

17.75x + 5.25 $\leq$ 165

x $\leq$ 9

Step-by-step explanation:

The total cost can be represented by 17.75x + 5.25, where x is the number of people.

They can only spend a maximum of $165, so a less than or equal sign has to be used.

The inequality will be 17.75x + 5.25 $\leq$ 165

Now, solve for x:

17.75x + 5.25 $\leq$ 165

17.75x $\leq$ 159.75

x $\leq$ 9

So, x $\leq$ 9 is the answer, meaning 9 people or less can go to the amusement park.

3 0

3 years ago