All categories

2 years ago

Which of the following equations below is a linear inequality?

Mathematics

1 answer:

Ket [755]2 years ago

4 0

Answer:

Step-by-step explanation:

A linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality: <, >, ≤, ≥.

Consider all options:

A. The inequality $\dfrac{y}{x}>3\cdot x+2$ is not linear linear inequality, because x is in the left part denominator and in the right part numerator.

B. This option shows linear equation, not inequality.

C. This option shows quadratic equation, not linear inequality.

D. This option shows linear inequality $y\le 5x-5$

You might be interested in

A rectangular school banner has a length of 36 inches and a width of 52 inches. A sign is made that is similar to the school ban

zalisa [80]

Answer:

4212 : 1573 is the ratio.

Step-by-step explanation:

Given:

Length of rectangular school banner is 36 inches and width is 52 inches.

And, the sign made is similar to banner.

The sign's length is 22 inches.

Now, we have to find the ratio of the area of the banner to the area of the sign.

So, we have dimensions of rectangular school banner:

Length = 36 inches.

Width = 52 inches.

But, we have only length of sign:

Length = 22 inches.

Now, we have to find the width of sign by using cross multiplication method:

Let the width of sign be $x.$

As, sign is similar to banner.

So, if 36 inches is equivalent to 52 inches.

Then, 22 inches is equivalent to $x.$

$\frac{36}{52} =\frac{22}{x}$

By cross multiplying we get:

$36x=1144$

Dividing both sides by 36 we get:

$x=31\frac{7}{9} .$

Hence, the width of sign is $31\frac{7}{9}$ inches.

Now, we find the area of banner and the area of sign by putting formula:

Area of banner = length × width.

$Area\ of\ banner=36\times 52$

$Area\ of\ banner=1872\ square\ inches.$

Now, area of sign:

$Area\ of\ sign=length\times width\\\\Area\ of\ sign=22\times 31\frac{7}{9} \\\\Area\ of\ sign=22\times \frac{286}{9} \\\\Area\ of\ sign=\frac{6292}{9} \ square\ inches.$

Now, to get the ratio of the area of the school banner to the area of the sign:

$1872:\frac{6292}{9}$

$=\frac{1872}{\frac{6292}{9} } \\\\=\frac{16848}{6292}$

On simplifying we get:

$=\frac{4212}{1573}$

$=4212:1573.$

Therefore, the ratio of the area of the school banner to the area of the sign is 4212:1573.

8 0

2 years ago

A Ferris wheel can accommodate 65 people in 30 minutes how many people could ride the Ferris wheel in 2 hours what was the rate

erik [133]

$65 \times 4 = 260$
260 can ride the ferris wheel in 2 hours.
$65 \times 2 = 130$
130 people is the rate per hour.

5 0

2 years ago

Do ya'll have any suggestions about this?

Elanso [62]

Hello, I know your situation. Ask them for another chance. Ask them to forgive you and you will do your homework. Say "If this continues, then I accept full consiquinses". Make sure you ACTUALLY stick to what you say. Now, to the focusing part... Try to do ATLEAST 2 lessons for each class. (depends what school you are attending) If it seems that you are finishing too fast (less than 2 hrs), then do more homework until your homework hours fits you.

Goodluck!

God Bless you!!!

3 0

2 years ago

Read 2 more answers

Twenty percent multiply by x is what

elena-s [515]

Well I need more details for x can you screenshot? It’s usually x*0.20 but I need more details to help you

7 0

2 years ago

What’s 1+1 I am so confused I am in middle school and this is the hardest question 10 points if u get it right lol

julsineya [31]