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2 years ago

What is the solution set of this system of equations?

Mathematics

2 answers:

Tresset [83]2 years ago

7 0

<h2>Answer:</h2>

Option: d is the correct answer.

The solution set of this system of equations is:

d. {(2, -6)}

<h2>Step-by-step explanation:</h2>

We are given a system if equations by:

$y=x^2-3x-4-------(1)$

and $x=y+8$

i.e. $y=x-8-------(2)/tex]Hence, we will put the value of y from equation (2) in equation (1)[tex]x-8=x^2-3x-4\\\\\\i.e.\\\\\\x^2-3x-x-4+8=0\\\\\\i.e.\\\\\\x^2-4x+4=0\\\\\\i.e.\\\\\\(x-2)^2=0\\\\i.e.\\\\\\x=2$

Also, from equation (2) we get:

$y=2-8\\\\\\i.e.\\\\\\y=-6$

Hence, the solution set is: {(2,-6)}

Rina8888 [55]2 years ago

5 0

D option is right answer

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erma4kov [3.2K]

Answer:

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Step-by-step explanation:

Each tile cost $4

The adhesive/grouting material costs $17.82.

If the contractor pays a total of $545.82

Let the number of tiles be represented as x

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9966 [12]

Answer:

**The equation is not clear, so I have provided both options**

<h3><u>Option 1</u></h3>

$\left|0.3-\dfrac{3}{5}k\right|-0.4=1.2$

$\implies \left|0.3-\dfrac{3}{5}k\right|=1.6$

<u>Solution 1</u>

$\implies 0.3-\dfrac{3}{5}k=1.6$

$\implies -\dfrac{3}{5}k=1.3$

$\implies k=-\dfrac{13}{6}$

<u>Solution 2</u>

$\implies -(0.3-\dfrac{3}{5}k)=1.6$

$\implies -0.3+\dfrac{3}{5}k=1.6$

$\implies \dfrac{3}{5}k=1.9$

$\implies k=\dfrac{19}{6}$

<h3><u>Option 2</u></h3>

$\left|0.3-\dfrac{3}{5k}\right|-0.4=1.2$

$\implies \left|0.3-\dfrac{3}{5k}\right|=1.6$

<u>Solution 1</u>

$\implies 0.3-\dfrac{3}{5k}=1.6$

$\implies -\dfrac{3}{5k}=1.3$

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$\implies k=-\dfrac{6}{13}$

<u>Solution 2</u>

$\implies -(0.3-\dfrac{3}{5k})=1.6$

$\implies -0.3+\dfrac{3}{5k}=1.6$

$\implies \dfrac{3}{5k}=1.9$

$\implies 3=9.5k$

$\implies k=\dfrac{6}{19}$

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Marizza181 [45]

The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.

<h3>What is the volume of a cone?</h3>

The volume of the cone is given by;

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