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2 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]2 years ago

8 0

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

ipn [44]2 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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What is the slope of line B?

N76 [4]

Answer:

3. do rise over run to get 3/1 and that simplifies to 3!

Step-by-step explanation:

4 0

2 years ago

Greg’s sister Ava is 4 years older than him. If the sum of Greg’s age and 2 times Ava’s age is 35, How old is Ava?

Fofino [41]

Answer:

Step-by-step explanation:

Create an equation: g+(G+4)(2)=35

Parentheses: g+2(G+4)=35

Distributive property: g+2g+8=35

Combine like terms: 3g+8=35

Subtractive property: 3g=27

Division property: g=9

Greg is 9. Since Ava is 4 years older you add 4 to find her age. Ava is 13. You take Ava’s age times 2 ( equals 26) then add Greg’s age (equals 35). And it should equal 35.

3 0

2 years ago

If the mean of the data below is 3.8, find m<br>x 1 2 3 4 5 6<br>f 1 4 7 m 6 3

zloy xaker [14]

Answer:

m = 1.8

Step-by-step explanation:

Given data is as follows :

x 1 2 3 4 5 6

f 1 4 7 m 6 3

We need to find the value of m if the mean of the data is 3.8.

Mean = sum of observations/no. of observations

So,

$3.8=\dfrac{1+4+7+m+6+3}{6}\\\\22.8=21+m\\\\22.8-21=m\\\\m=1.8$

So, the value of m is equal to 1.8.

8 0

2 years ago

PLEASE HELP!

____ [38]

<h3>Answer:</h3>

A. x = -2
B. (-2, -3), (-3, -1)
C. x = 0

<h3>Step-by-step explanation:</h3>

Part A. The solution is represented by the point at which the graphs intersect: (-2, -3). The x-value that makes p(x) = f(x) is x = -2.

___

Part B. The point found in Part A is one solution to f(x). The graph shows the line has a slope of -2, so another point will be 1 to the left and 2 up: (-3, -1). So, two solutions are ...

... (-2, -3) and (-3, -1)

___

Part C. The graphs of p(x) and g(x) intersect at the point (0, 2). This means

... p(0) = g(0) = 2

So, x = 0 is the solution to the equation p(x) = g(x).

7 0

2 years ago

Suppose r(x) and t(x) are two functions with the same domain, and let

LiRa [457]

Answer:

that's correct answer is yes

Step-by-step explanation:

yes

6 0

1 year ago