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3 years ago

Pls help find the inequality represented by the graph

Mathematics

1 answer:

hichkok12 [17]3 years ago

7 0

Answer:

use the linear equation of a line

equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

now u do the rest

You might be interested in

Which is an equivalent form of the first equation that when added to second equation eliminates the x terms? 4/5 x-3/5y=18

Fittoniya [83]

Answer:

$-8x + 6y = -180$

Step-by-step explanation:

Given

$\frac{4}{5} x-\frac{3}{5}y=18$

$8x + 12y = 11$

Required

Equivalent form of the first equation that eliminates x when added to the second

To do this, we simply make the coefficients of x to be opposite in both equations.

In the second equation, the coefficient of x is 8.

So, we need to make the coefficient of x -8, in the first equation.

$\frac{4}{5} x-\frac{3}{5}y=18$

Multiply by -10

$-10 * [\frac{4}{5} x-\frac{3}{5}y=18]$

$\frac{-40}{5} x+\frac{30}{5}y=-180$

$-8x + 6y = -180$

<em>When this is added to the first equation, the x terms becomes eliminated</em>

6 0

3 years ago

SNOW The first four snowfalls of the year in Shawnee's hometown measured 1.6 inches, 2.2 inches, 1.8 inches, and 1.4 inches. Use

wel

Answer:

The total amount of snow that fell is <u>7 inches</u>.

Step-by-step explanation:

Given:

The first four snowfalls of the year in Shawnee's hometown measured 1.6 inches, 2.2 inches, 1.8 inches, and 1.4 inches.

Now, to find the total amount of snow that fell.

Shawnee's hometown measured first four snowfalls of the year are:

1.6 inches, 2.2 inches, 1.8 inches, and 1.4 inches.

Now, to get the total amount of snowfall we add all the four snowfalls of the year:

$1.6\ inches+2.2\ inches+1.8\ inches+1.4\ inches\\\\=7\ inches.$

Therefore, the total amount of snow that fell is 7 inches.

8 0

4 years ago

We are interested in determining whether or not the variances of the sales at two small grocery stores are equal. A sample of 21

katen-ka-za [31]

Answer:

$F=\frac{s^2_A}{s^2_B}=\frac{28.284^2}{20^2}=1.99996$

Step-by-step explanation:

Data given and notation

$n_A = 21$ represent the sampe size for A

$n_B =16$ represent the sample size for B

$s_A = 28.284$ represent the sample deviation for A

$s_B = 20$ represent the sample deviation for B

$\alpha$ represent the significance level provided

F test is a statistical test that uses a F Statistic to compare two population variances, with the sample deviations s1 and s2. The F statistic is always positive number since the variance it's always higher than 0. The statistic is given by:

$F=\frac{s^2_1}{s^2_2}$

Solution to the problem

System of hypothesis

We want to test if we have the same variation, so the system of hypothesis are:

H0: $\sigma^2_A = \sigma^2_B$

H1: $\sigma^2_A \neq \sigma^2_B$

Calculate the statistic

Now we can calculate the statistic like this:

$F=\frac{s^2_A}{s^2_B}=\frac{28.284^2}{20^2}=1.99996$

8 0

4 years ago

George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends

MariettaO [177]

For the circular cover we have:

A) The area is 379.94 ft²

B) The length of the rope must be 68.2 ft

<h3>How to get the area of the cover?</h3>

Remember that the area of a circle of radius R is given by the formula:

$A = pi*R^2$

Where pi = 3.14

In this case, the diameter of the pool is 20ft, then the radius is:

R = 20ft/2 = 10ft

And it must extend 12 inches beyond, then the radius of the cover must be:

R = 10ft + 12in

Now, we know that 1ft = 12 in, then we can rewrite the radius as:

R = 10ft +1ft = 11ft

Then the area of the cover is:

$A = 3.14*(11ft)^2 = 379.94 ft^2$

B) now we want to get the length of the rope, we know that the rope runs along the cover, then the length of the rope must be equal to the circumference of the cover.

Remember that the circumference of a circle of radius R is:

$C = 2*pi*R$