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3 years ago

On a piece of paper, graph y + 4 ≤ x – 2. Then determine which answer choice matches the graph you drew.

Mathematics

2 answers:

Rudik [331]3 years ago

8 0

D is the answer. Remember it is a solid line when greater equal.

ipn [44]3 years ago

3 0

Answer:

Graph D is the correct representation of the given inequality.

Step-by-step explanation:

We are given the following inequality:

$y + 4 \leq x - 2$

This inequality can be written as:

$y + 4 \leq x - 2\\y \leq x -2-4\\y \leq x - 6$

The attached image shows the graph for the given inequality.

Since, the point (4,-4) lies in the region of the given inequality shown by black color in the image.

Also, the line $y = x - 6$ is a part of the solution of the given inequality.

Hence, Graph D is the correct representation of the given inequality.

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NEED HELP FINDING SLOPE OF THE LINE

mamaluj [8]

Answer:

slope = - $\frac{2}{3}$

Step-by-step explanation:

calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line

m = $\frac{-2-2}{2-(-4)}$ = $\frac{-4}{2+4}$ = $\frac{-4}{6}$ = - $\frac{2}{3}$

5 0

2 years ago

Maisha has 3(x+2) hours reading a book 8x-5 hours sleeping and 2x hours playing.How many hours did she spend in all of these act

Mandarinka [93]

Add all the activities together

=3(x+2) + (8x-5) + 2x
multiply 3 by all in parentheses
=(3*x) + (3*2) + (8x-5) + 2x
=3x + 6 + 8x - 5 + 2x
combine like terms
=(3x + 8x + 2x) + (6 - 5)
=13x + 1

ANSWER: 13x + 1

Hope this helps! :)

6 0

3 years ago

A room can just store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases o

Vladimir79 [104]

Answer:

2 cases of soya bean milk will have the same volume as 1 case of fruit juice.

Step-by-step explanation:

Let the case of soya beans drink be x and let the case of fruit juice be y

We are told that the room can store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases of fruit juice.

This means that;

10x + 8y = 4x + 11y

Rearranging, we have;

10x - 4x = 11y - 8y

6x = 3y

Thus;

y = 6x/3

y = 2x

This means that 2 cases of soya bean milk will have the same volume as 1 case of fruit juice.

8 0

3 years ago

I need help on this question

Ainat [17]

x-axis is y=0, so the answer is D.

but not D. Luffy

7 0

3 years ago

Simplify: -5 + 3a +<br> 6 - 4a.

MatroZZZ [7]

Answer:

-a+11

Step-by-step explanation:

hard to explain. but should be correct

4 0

3 years ago