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2 years ago

What is a correct first step in solving 5-2x<8x-3

2 answers:

5 0

the first step would to get rid of the coefficients, in my case i moved the -2x to the other side and added it to the 8x to get 10x

Lubov Fominskaja [6]2 years ago

4 0

The correct first step is to add 2x to both sides. Then, add 3 to both sides. You will then get 8<10x. Finally, divide both sides by 10. You get x>8/10. You can simplify that to x>4/5.

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Find the slope of the line(s) passing through the given points. Then tell whether the line(s) rises, falls, is horizontal, or is

bonufazy [111]

Answer:

21) falls

22) vertical

23) rises

24) rises

25) falls

26) horizontal

27) rises

28) horizontal

29) falls

Step-by-step explanation:

We shall use the slope formula $m=\frac{y_2-y_1}{x_2-x_1}$ to calculate the slopes of the line passing through each pair of point.

21: (3,1), (2,6)

The slope is $m=\frac{6-1}{2-3}$

$\implies m=\frac{5}{-1}=-5$ .

A negative slope means this line falls

22) (-2,5), (-2,4)

The slope is $m=\frac{4-5}{-2- -2}=\frac{-1}{0}$ = undefined

An undefined slope means this line is vertical

23) The given point is (0,8) (2,10)

The slope is $m=\frac{10-8}{2-0}=\frac{2}{2}=+1$

A positive slope means this line rises

24) The points are (-3,-3), (3,1)

The slope is $m=\frac{1--3}{3--3}=\frac{4}{6}=+\frac{2}{3}$

A positive slope means this line rises

25) The points are: (5,0) (6,-2)

Slope: $m=\frac{-2-0}{6-5}=\frac{-2}{1}=-2$

A negative slope means this line falls

26) The points are (-2,-8) , (5,-8).

Slope: $m=\frac{-8--8}{5--2}=\frac{0}{7}=0$

A zero slope means this line is horizontal

27) The points are: (-1,2) , (5,3)

Slope: $m=\frac{3-2}{5--1}=+\frac{1}{6}$

A positive slope means this line rises

28) The points are: $(\frac{1}{2},4)$ , (-1,4)

Slope: $m=\frac{4-4}{-1-\frac{1}{2}}=\frac{0}{\frac{1}{2}}=0$

A zero slope means the line is horizontal

29) The points are: $(4,\frac{1}{2}), (5,\frac{1}{4})$

Slope: $m=\frac{\frac{1}{4}-\frac{1}{2}}{5-4}=-\frac{1}{4}$

A negative slope means this line falls.

6 0

2 years ago

A mosaic at the art museum is divided into 6 sections that each contain about the same number of tiles. There are 2,889 tiles to

AlexFokin [52]

Answer

Find out the how many tiles are in each section .

To prove

Let us assume that the number of tiles are in section are be x.

As given

A mosaic at the art museum is divided into 6 sections that each contain about the same number of tiles.

There are 2,889 tiles total in the mosiac .

Than the equation becomes

6 × x = 2889

$x = \frac{2889}{6}$

x = 481.5

Therefore the total number of tiles in each sections are 481.5 .

7 0

2 years ago

Need help with 35 thank you so much!!

Yakvenalex [24]

If a pentagon is regular, then all of the sides are the same length. This means that

$5x-4=2x+11 \iff 5x-2x = 11+4 \iff 3x=15 \iff x = 5$

So, if $x=5$ , the lengths of the sides evaluate to

$5x-4 = 25-4=21,\quad 2x+11=10+11=21$

So, all the sides of the pentagon are 21 units long, and AB is 21 units long as well, because all sides are the same length.

3 0

2 years ago

Solve this for 10 points: 2x-3y+4y+2x+9y

Mekhanik [1.2K]

Answer:

the answer . is 2y

Step-by-step explanation:

combine like terms

4 0

2 years ago

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Write an equation and solve to show the product of 2,830 and 3 ?

GrogVix [38]

2,830 x 3 =G three times 0 is 0
2,830 3 times 3 is 9
x 3 3 times 8 is 24 carry the two
8,490 3 times 2 is 6 plus the carried 2 is 8

7 0

2 years ago

Read 2 more answers