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Kisachek [45]
2 years ago
5

Is (3,-1) a solution of the graphed system of inequalities?

Mathematics
1 answer:
xeze [42]2 years ago
6 0

Yes, (3,-1) is a solution to the graphed system of inequalities.

<h3>What are system of inequalities?</h3>

When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalties.

A collection of inequalities for which we consider a common solution for all inequalities is called a system of inequalities.

As we can see in the graph that the two lines are interest in the second quadrant at point such as(x, -y).

So, the point will be a solution also because it lies in the shaded region.

Therefore, Yes, (3,-1) is a solution to the graphed system of inequalities.

Learn more about graphing inequalities here:

brainly.com/question/19598687

#SPJ1

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A group of friends were working on a student film. They spent all their budget on props and costumes. They spent $243 on props,
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Answer:

The total budget for their student film was $540

Step-by-step explanation:

The total percentage of any quantity is 100%

∵ A group of friends was working on a student film

∵ They spent all their budget on props and costumes

∴ The total budget of the props and costumes = 100%

∵ They spent $243 on props

∵ They spent 55% of the total budget on costumes

→ Find the percentage of the props

∴ The percentage of the props = 100% - 55%

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→ Change the percent to a number by divide it by 100

∵ 45% = 45 ÷ 100 = 0.45

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→ Divide both sides by 0.45

∴ The total budget = 540

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Step-by-step explanation:

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Triangle angle-sum theorem <br> what is the value of u?
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Answer:

u = {\boxed{\sf{\: 3 \:}}}⁰

Step-by-step explanation:

  • As we know that the sum of interior angles of triangle is 180⁰.

So, according to the question :

\begin{gathered} \qquad{\longrightarrow{\sf{Sum \:  of  \: all \:  angles =  {180}^{\circ}}}}\\\\ \qquad{\longrightarrow{\sf{{74}^{\circ} +  {52}^{\circ} + 18u =  {180}^{\circ}}}}\\\\\qquad{\longrightarrow{\sf{{126}^{\circ} + 18u =  {180}^{\circ}}}}\\\\\qquad{\longrightarrow{\sf{18u =  {180}^{\circ} -  {126}^{\circ}}}}\\\\\qquad{\longrightarrow{\sf{18u =  {54}^{\circ}}}}\\\\\qquad{\longrightarrow{\sf{u = \dfrac{54}{8}}}}\\\\\qquad{\longrightarrow{\sf{u =  {3}^{\circ}}}}\\\\ \qquad\star{\underline{\boxed{\frak{\pink{u =  {3}^{\circ}}}}}}\end{gathered}

Hence, the value of u is 3⁰.

\rule{300}{2.5}

7 0
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