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3 years ago

What are the solutions for 2x+7 is less than or equal to 3x-5

Mathematics

1 answer:

solmaris [256]3 years ago

5 0

Answer:

x≥2 2/5 or x≥ 2.4 or [2.4,∞)

Step-by-step explanation:

2x+7≤3x-5

7+5≤3x+2x

12≤5x

x≥12/5 or x≥2 2/5 or x≥2.4

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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

3 years ago

Where on the graph of 2x - 6y = 7 is the x-coordinate twice the y-coordinate?

Nikolay [14]

Answer:

The required point is P(-7, $\frac{-7}{2}$ ) where, x-coordinate twice the y-coordinate on line 2x - 6y = 7

Step-by-step explanation:

Given equation of line is 2x-6y=7

To find point on graph whose x-coordinate twice the y-coordinate:

Let y be y-coordinate of point

Hence, x-coordinate of point will be 2y

The required point is P(2y,y) on equation of line 2x-6y=7

Now,

2x-6y=7

2(2y)-6y=7

-2y=7

y= $\frac{-7}{2}$

Thus,

The required point is P(-7, $\frac{-7}{2}$ )

Note: Figure show equation of line red line and point P as blue dot.

5 0

3 years ago

Which system of linear equations appears to have a solution of (–1, 4)? On a coordinate plane, 2 lines intersect at (1, negative

madam [21]

Answer:

On coordinate plane, 2 lines intersect at (negative 1, 4)

Step-by-step explanation:

negative 1 = -1, 4 = 4

therefore this means that this coordinate is also (-1, 4)

6 0

3 years ago

Read 2 more answers

Amanda is 25 years old. in 5 years she will be twice as old as simone how old i simone

Nadya [2.5K]

We could use Algebra for this question but it’s quite simile so won’t need it. If Amanda is 25, when we add on 5 years she’ll be 30. Now it says when she’s 30, she will be twice as old as Simone. Implying that Simone will be half of Amanda’s age. In this case 30/2 = 15. So Simone must be 15.

7 0

2 years ago

Read 2 more answers

The triangle shown on the graph above is rotated 90 degrees clockwise about the original to form triangle P’Q’R which of the fol

azamat

Hey there! I'm happy to help!

When rotating a point 90 degrees clockwise about the origin, our original point (x,y) becomes (-y,x), because it is now at a negative y-value.

We see that our point P is at (1,2). We can use this rotation formula to find the coordinates of P' (the new spot where P is)/

(x,y)⇒(-y,x)

(1,2)⇒(-2,1)

Therefore, the coordinates of the point P' are (-2,1).

Have a wonderful day! :D

4 0

3 years ago