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3 years ago

Solve the inequality 1/2x - 4 < 3 - 2/3 x

Mathematics

1 answer:

34kurt3 years ago

5 0

Answer:

X<6

Step-by-step explanation:

3x-24<18-4x

7x<42

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13. Write the equation of a horizontal line that passes through the point (3, -3).

Step2247 [10]

Answer:

O y = -3

Step-by-step explanation:

The line is horizontal.

x = -3 and x = 3 are vertical lines, so they are incorrect.

The line passes through (3, -3).

(x , y)

Put y as -3.

y = 3

(-3) = 3

Line y = 3 is incorrect.

(-3) = -3

Line y = -3 is correct.

3 0

3 years ago

Read 2 more answers

[30 POINTS] Please help!!!

Len [333]

Answer:

Part 1) $y=1.5x+5$

Part 2) $y=-(2/3)x-(11/3)$

Part 3) $y=0.25x+2.75$

Part 4) $y=-2x+5$

Part 5) $y=0.5x-1$

Part 6) The graph in the attached figure

Step-by-step explanation:

Part 1) we have

$m=3/2=1.5$

$point(-2,2)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y-2=1.5(x+2)$

$y=1.5x+3+2$

$y=1.5x+5$

Part 2) we know that

If two lines are perpendicular

then

the product of their slopes is equal to minus one

$m1*m2=-1$

the slope of the line 1 is equal to

$m1=1.5$

Find the slope m2

$1.5*m2=-1$

$m2=-2/3$

Find the equation of the line 2

we have

$m2=-2/3$

$point(-7,1)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y-1=(-2/3)(x+7)$

$y=-(2/3)x-(14/3)+1$

$y=-(2/3)x-(11/3)$

Part 3) we have

$m=1/4=0.25$

$point(1,3)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y-3=0.25(x-1)$

$y=0.25x-0.25+3$

$y=0.25x+2.75$

Part 4) we have

$m=-2$

$b=5$ -----> y-intercept

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

substitute the values

$y=-2x+5$

Part 5) we have that

The slope of the line 4 is equal to $-2$

the slope of the line perpendicular to the line 4 is equal to

$-2*m=-1\\m=(1/2)=0.5$

therefore

in this problem we have

$m=0.5$

$point(-2,-2)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y+2=0.5(x+2)$

$y=0.5x+1-2$

$y=0.5x-1$

Part 6)

using a graphing tool

see the attached figure

3 0

3 years ago

PLEASE ANSWER QUICKLY

wel

Answer:

65 passengers

6 0

3 years ago

Which expression is a sum of a number and product. Answers. .8+3x .X+1 over 5 2(x-9). 5+x-4

Nookie1986 [14]

Answer:

8 + 3x

Step-by-step explanation:

A product is a multiplication, such as 3 * 5, 2x, 4y.

3x is a product.

8 + 3x is the sum of the number 8 and the product 3x.

Answer: 8 + 3x

4 0

3 years ago

The Yankees won 125 games, the Red Sox won 97 games, and the Mets won 86 games.

marin [14]

Answer:

127:97:86

Step-by-step explanation:

The yankees won 125 games

The Red Sox won 97 games.

The Mets won 86 games

Therefore the ratio of wins of the Yankees to the red Sox to the Mets can be shown as follows

127:97:86

4 0

3 years ago

Solve the inequality 1/2x - 4 < 3 - 2/3 x​

Solve the inequality 1/2x - 4 < 3 - 2/3 x