6 x 2 7 x 2 8 x 2 3 x 3

Write down the two inequality equations that go with this graph below:

Simora [160]

The RED or Pink inequality equation is: y ≥ -3/2x - 5

The BLUE inequality equation is: y ≥ -1/2x - 3.

<h3>How to Write the Equation of an Inequality?</h3>

Once you know the slope (m) and y-intercept (b), in slope-intercept form y "inequality sign" mx + b, the inequality equation can be written.

Inequality equation for the Blue Line:

Find the slope (m) using the points (-2, -2) and (0, -3)

Slope (m) of the blue line = change in y/change in x = (-2 -(-3))/(-2 - 0)

Slope (m) of the blue line = 1/-2

Slope (m) of the red/pink line = -1/2

The y-intercept (b) for the red/pink line is: -3 (the value of y when x = 0).

We can use any possible inequality sign to state an inequality equation that go with the graph.

Substitute m = -1/2 and b = -3 into y ≥ mx + b:

y ≥ -1/2x - 3.

Inequality equation for the red/pink Line:

Find the slope (m) using the points (-2, -2) and (0, -5)

Slope (m) of the red/pink line = change in y/change in x = (-2 -(-5))/(-2 - 0)

Slope (m) of the red/pink line = 3/-2

Slope (m) of the red/pink line = -3/2

The y-intercept (b) for the red/pink line is: -5 (the value of y when x = 0).

Substitute m = -3/2 and b = -5 into y ≥ mx + b:

y ≥ -3/2x - 5

In conclusion, we have:

The RED or Pink inequality equation is: y ≥ -3/2x - 5

The BLUE inequality equation is: y ≥ -1/2x - 3.

Learn more about the inequality equation on:

brainly.com/question/11234618

#SPJ1

6 0

2 years ago

A sample with which of these variances has a standard deviation that is greater than the variance?

White raven [17]

Since the standard deviation is the square root of variance. The only times where the standard deviation is greater than the variance is when the variance is between the values 0 and 1 exclusively. For example, the square root of 0.25 is 0.5.

4 0

3 years ago

Katie is doing an inventory at American Eagle. There is 125 pairs of jeans. 36 pairs of jeans are women's skinny jeans. What per

ZanzabumX [31]

All you have to do is put 36/125. This will get you .288. When rounded to the nearest percent, it is 28%.

3 0

3 years ago

Find w and y, will give brainliest for the correct answer

Alex Ar [27]

Answer: w=12, y=6√3

Step-by-step explanation:

Looking at the figure, we can split the triangle into 2 separate triangles. One on the left and one on the left. The triangle on the right is a 30-60-90 triangle. For this triangle, the hypotenuse is 2x in length. This is directly opposite of the right angle. The leg opposite to 30° is x in length. The leg opposite 60° is x√3 in length. Once you know the length of one side, you can plug in x to find the length of the other legs.

In this case, w and y are located on the same 30-60-90 triangle. Normally we would focus on that triangle to find our values, but in this instance, we don't have any values. We have to use the left triangle to find the leg that both triangles share.

The left triangle is a 45-45-90 triangle. For this triangle, the legs opposite of 45° is x in length. The hypotenuse is x√2. Since we know the hypotenuse, we can use it to find x.

x√2=8

x=8/√2

x=5.7 or 6 [Let's use 6 so that it is easier to work with a whole number]

Now that we know x, we can find w and y. Going back to the right triangle, we know the hypotenuse is 2x. We plug in 6 to find the length.

w=2x

w=2(6)

w=12

We know the leg opposite of 60° is x√3. We can plug in x.

y=6√3

7 0

3 years ago

Chan deposited money into his retirement account that is compounded annually at an interest rate of 7%. Chan thought the equival

dedylja [7]

Answer:

No, equivalent quarterly rate will be approx 1.75%

Step-by-step explanation:

Given that Chan deposited money into his retirement account that is compounded annually at an interest rate of 7%.

We know that there are 4 quarters in 1 year.

So to find that equivalent quarterly we will divide given yearly rate by number of quarters.

That means divide 7% by 4.

which gives 1.75%.

But that is different than Chan's though of 2% quarterly interest.

Hence Chan is wrong.

4 0

3 years ago