All categories

3 years ago

Enter an inequality that represents the graph in the box.

Mathematics

1 answer:

ANTONII [103]3 years ago

5 0

The inequality that represents the graph in the box is

$y>-3x+6$

Given :

The graph of the linear inequality

Lets pick two points from the graph to frame the linear equation

Slope intercept form of the equation is

$y=mx+b$

Where m is the slope and b is the y intercept

y intercept is (0,6) from the graph

so b=6

Now we find out slope m using formula

Pick two points (0,6) and (2,0)

$slope = \frac{y_2-y_1}{x_2-x_1} \\m=\frac{0-6}{2-0} =-3$

m=-3

So the equation is $y=-3x+6$

Now we check the inequality sign by testing any point on shaded area

lets pick (4,0)

lets plug in 4 for x and 0 for y

$y=-3x+6\\0=-3(4)+6\\\\0=-6\\0>-6$

The inequality for the given graph is

$y>-3x+6$

we cannot use >= sign because we have dotted lines

Learn more : brainly.com/question/17203372

You might be interested in

Ms. Benoit is a self-employed architect who earns $300,000 annual taxable income. For the past several years, her tax rate on th

blagie [28]

Answer:

$Y = \$ 30000$

$Y = \$ 11250$

$X = \$ 36250$

Step-by-step explanation:

From the question we are told that

The annual taxable income is $A = \$ 300,000$

The tax rate for next year is $r = 0.25$

The present tax rate is $R = 0.35$

Generally the present amount of tax collected from Ms Benoit is

$K = A * R$

$K = 300000 * 0.35$

=> $K = \$105000$

Generally the amount of tax collected from Ms Benoit nest year is

$B = A * r$

$B = 300000 * 0.25$

=> $B = \$75000$

The reduction in the tax amount is mathematically represented as

$Y = K - B$

=> $Y = 105000 - 75000$

=> $Y = \$ 30000$

Generally the tax amount of next year when the income is $375,000 is mathematically represented as

$M = 375 000 * r$

=> $M = 375 000 * 0.25$

=> $M = \$ 93 750$

The reduction in the tax amount is mathematically represented as when the income for next year is $375,000

$Z = K - M$

=> $Z = 105000 -93 750$

=> $Z = \$ 11250$

Generally the tax amount of next year when the income is $275,000 is mathematically represented as

$U = 275,000 * r$

=> $U = 275 000* 0.25$

=> $M = \$ 68 750$

The reduction in the tax amount is mathematically represented as when the income for next year is $275,000

$X = K - M$

=> $X = 105000 -68 750$

=> $X = \$ 36250$

8 0

3 years ago

Why people made up ratios ?

Allushta [10]

They created ratios so people could get information.

8 0

3 years ago

A cafeteria make 2,516 pounds of rice and 608 pounds of brown rice every month. after 6 months how many pounds of rice does the

tangare [24]

Well this is were you would need to multiply the amount of pounds of rice they did and then divide the amount of months they give you!

8 0

3 years ago

Read 2 more answers

Tell whether the ordered pair is a solution to the equation.<br><br><br> (-2, 8); y = -2x - 1

slavikrds [6]

Answer:

No, the pair is not a solution to the equation.

Step-by-step explanation:

For the pair to be a solution to the equation, x = -2 must lead to y = 8, o =r vice versa. This leads to being able to solve it two ways either through x or through y.

I'll solve it through x:

y = -2x - 1

with x = -2

y = -2 * - 2 - 1

y = 4 - 1

y = 3

Since y = 3, when x = -2 the pair (-2,8) is not a pair to the solution of the equation.

PS: You can double check by solving through y and you'll find x = -4.5

6 0

3 years ago

I need help with 1-6

DerKrebs [107]

To see if it’s linear use a pencil and see if any lines touch more than one point (just look up pencil line test) and 1-4 just draw out a graph (and since it goes up to hundred don’t count by 1s count by 10 or or something
Hope you kind of get the idea sorry I’m not the best at explaining stuff :)

5 0

4 years ago