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3 years ago

To which graph does the point (−1, 4) belong? y ≤ −x + 4 y ≤ −x − 5 y ≤ 2x − 3 y ≤ 5x + 1

2 answers:

6 0

By replacing the point (-1, 4) into the first inequality y<= -(x)+4
4<= - (-1)+4
4<=1+4
4<=5 (this implies that this is the answer).

victus00 [196]3 years ago

4 0

Answer:

Option A is correct.

Step-by-step explanation:

Given coordinates of the point ( -1 , 4 )

Option A

y ≤ -x + 4

LHS = y = 4

RHS = -x + 4 = -(-1) + 4 = 5

LHS ≤ RHS

So, Given point belong to this graph.

Option B

y ≤ -x - 5

LHS = y = 4

RHS = -x - 5 = -(-1) - 5 = -4

LHS ≥ RHS

So, Given point does not belong to this graph.

Option C

y ≤ 2x - 3

LHS = y = 4

RHS = 2x - 3 = 2(-1) - 3 = -5

LHS ≥ RHS

So, Given point does not belong to this graph.

Option D

y ≤ 5x + 1

LHS = y = 4

RHS = 5x + 1 = 5(-1) + 1 = -4

LHS ≥ RHS

So, Given point does not belong to this graph.

Therefore, Option A is correct.

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mrs_skeptik [129]

Answer : Y=-15/7

Explanation:

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3 years ago

nignag [31]

Answer:

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Step-by-step explanation:

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8 months ago

A quiz has thirty questions whose answers can only be correct or incorrect.

satela [25.4K]

Using a system of equations, it is found that Gina got 22 questions correct in the test.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable x: Number of questions she got correct.

Variable y: Number of questions she got wrong.

The test has 30 questions, hence:

x + y = 30 -> y = 30 - x.

She scored 152 points, hence, considering the value of each question:

8x - 3y = 152.

Since y = 30 - x:

8x - 3(30 - x) = 152

11x = 242

x = 242/11

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Gina got 22 questions correct in the test.

More can be learned about a system of equations at brainly.com/question/24342899

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2 years ago

Factor this trinomial.<br> x2 + 2x-3

andre [41]

Answer:(x-1) (x+3)

Step-by-step explanation:

Hope this helps!

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3 years ago

Cube-shaped blocks are packed into a cube-shaped storage container. The edge length of the storage container is 212 feet. The

igor_vitrenko [27]

Answer:

The volume of cube-shaped block is 0.125 cubic feet.

Step-by-step explanation:

We are given the following in the question:

Edge length of storage container =

$2\dfrac{1}{2}\text{ feet}$

Edge length of block =

$\dfrac{1}{5}\times \text{Edge length of container}$

Putting value we get,

Edge length of block =

$\dfrac{1}{5}\times 2\dfrac{1}{2}\\\\=\dfrac{1}{5}\times \dfrac{5}{2}\\\\=\dfrac{1}{2}\text{ feet}$

Volume of cube-shaped block = Volume of cube

$V = \text{(Edge)}^3\\\\V =(\dfrac{1}{2})^3\\\\V = \dfrac{1}{8}\text{ cubic feet}\\\\V = 0.125\text{ cubic feet}$

Thus, the volume of cube-shaped block is 0.125 cubic feet.

7 0

2 years ago