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Mice21 [21]
2 years ago
13

Find the inequality represented by the graph. Can someone please help me!!!!!!

Mathematics
1 answer:
lapo4ka [179]2 years ago
8 0

Answer:

y

Step-by-step explanation:

We first need to determine the equation of the line.

Thus, we will need to find our slope first. To do so, we need to pick two points from the line. We can use (0, 5) and (3, 1).

Now, we can use the slope formula. Therefore:

m=\frac{y_2-y_1}{x_2-x_1}

Let (0, 5) be (x₁, y₁) and let (3, 1) be (x₂, y₂). Substitute appropriately:

m=\frac{1-5}{3-0}=\frac{-4}{3}

Therefore, our slope is -4/3.

Now, we can use the slope-intercept form:

y=mx+b

Where m is our slope and b is the y-intercept.

We already determined that the slope is -4/3.

And (0, 5) tells us that the y-intercept is 5. Therefore, substitute:

y=-\frac{4}{3}x+5

Finally, we need to determine our inequality sign.

Notice that our line is dotted. Hence, we do not need “or equal to.”

Also, the blue shaded region is below our line. Therefore, y must be less than our equation.

Hence, our sign is less than.

Therefore, our equation is:

y

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Salsk061 [2.6K]

Answer: there is only one solution

Step-by-step explanation:

Combine like terms by performing the opposite operation of subtracting 4x on both sides of the equation

The 4x's will cross out on the right

4x - 4x = 0x = 0

On the left:

2x - 4x = -2x

Now the equation looks like:

-2x + 3 = 2

Continue to combine like terms by subtracting 3 on both sides of the equation

On the left:

3 - 3 = 0

On the right:

2 - 3 = -1

Equation:

-2x = -1

Isolate x by performing the opposite operation of dividing -2 on both sides of the equation

On the left:

-2x ÷ -2 = 1

On the right:

-1 ÷ -2 = 1/2

x= 1/2

4 0
3 years ago
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Answer:

Choice A.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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