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bonufazy [111]
2 years ago
8

Graph the following system of inequalities. y ≤ 1 3 ⁢ x − 2 x < 4

Mathematics
1 answer:
VLD [36.1K]2 years ago
3 0

By using an online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.

<h3>How to graph a system of inequalities?</h3>

An inequality is a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:

  • Less than (<).
  • Greater than (>).
  • Less than or equal to (≤).
  • Greater than or equal to (≥).

Given the following system of inequalities:

y ≤ 1/3x  ⇒ y - 1/3x ≤ 0

y - 2x < 4

By using an online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.

Read more on inequalities here: brainly.com/question/24372553

#SPJ1

<u>Complete Question:</u>

Graph the following system of inequalities.

y ≤ 1/3x and y - 2x < 4

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Answer:

\angle f = 122\degree

Step-by-step explanation:

\angle d = 58\degree (vertical angles)

\angle f+\angle d= 180\degree

(Interior angles on the same side of transversal)

\angle f+ 58\degree = 180\degree

\angle f = 180\degree-58\degree

\huge \orange {\boxed {\angle f = 122\degree}}

5 0
3 years ago
At a breakfast diner a cup of coffee costs $2. 75 and a muffin is $2. 25. what is the sales tax on the two items if the rate is
brilliants [131]

The tax on the coffee is $0.21

The tax on the muffin is $0.17

Together the tax is $0.38

Hope this helps!

6 0
4 years ago
Which of the following is equivalent to log507 rounded to three decimal places?
Leya [2.2K]

Answer :     0.497 is what i think it is

6 0
4 years ago
Read 2 more answers
Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amo
Vika [28.1K]

The equation that represents this situation while the variable s representing the amount of dough needed , for a small pizza is (5/2)S = (3/2)S + S  .

In the question ,

it is given that

amount of dough for a medium pizza is 3/2 times the amount of dough for small pizza ,

let the amount of dough required for small pizza = S

let the amount of dough required for large pizza = L

let the amount of dough required for medium pizza = M

So , M = (3/2)S

and amount of dough for a large pizza is 5/2 times the amount of dough for small pizza ,

that is

L = (5/2)S

amount of dough used for one large pizza is equal to the amount of dough used for one medium and one small pizza ,

that is L = M + S .

Substituting the value of L and S , we get

(5/2)S = (3/2)S + S

We have a linear equation that is true for all S , there is no unique solution to this equation .

Therefore , The equation that represents this situation is (5/2)S = (3/2)S + S .

The given question is incomplete , the complete question is

Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.

Write an equation to represent this situation while the variable s representing the amount of dough needed , for a small pizza .

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4 0
1 year ago
The length of two complementary angles are x and 2x+12. Find the measures of the angles.
Shtirlitz [24]

There's no such thing as the "length"of an angle. 
But we know what you're getting at.

You have said that the angles are complementary.  If two angles are
complementary, then  their sum is 90 degrees, so we can take your
two angles and write:

                       <u>x</u>  (one angle) plus <u>(2x + 12)</u> (the other one) <u>= 90 degrees

</u>
<u />                          x + 2x + 12  =  90<u>

</u>
Subtract 12 from each side:     x + 2x  =  78

Add the x's on the left side:        3x      =  78

Divide each side by  3 :                x      =  26 degrees

One angle is 'x'  =  <em>26 degrees</em>

The other one is (2x + 12) = 52+12 = <em>64 degrees</em>
4 0
4 years ago
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