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muminat
3 years ago
7

Which of the sets of ordered pairs represents a function?

Mathematics
1 answer:
nevsk [136]3 years ago
4 0
The answer is (A).
The domain can not repeat itself.
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−7x−6y=2<br> 7x+4y=−6<br> solve for x and y
ikadub [295]

Answer:

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:x=-2,\:y=2}

Step-by-step explanation:

\begin{bmatrix}-7x-6y=2\\ 7x+4y=-6\end{bmatrix}

\mathrm{Substitute\:}x=-\frac{2+6y}{7}

\begin{bmatrix}7\left(-\frac{2+6y}{7}\right)+4y=-6\end{bmatrix}

\begin{bmatrix}-2-2y=-6\end{bmatrix}

\mathrm{For\:}x=-\frac{2+6y}{7}

\mathrm{Substitute\:}y=2

x=-\frac{2+6\cdot \:2}{7}\\\\x=-2

5 0
2 years ago
There are three clubs at Redwood High School: Debate, Student council, and Key club. There are 1000 students in the school. And
hram777 [196]

Answer:

The number of students in the key club is 490

Step-by-step explanation:

The given parameters are;

The number of student in the school = 1000

The total number of student in the debate club = 310

The total number of student in the student council = 650

The total number of student who are in debate and student council = 170

The total number of student who are in both debate and the key club = 150

The total number of student who are in both student council and the key club = 180

The number of students who are in all three clubs = 50

Therefore, we have;

Let A represent the number of students in the debate club

Let B represent the number of students in the student council

Let C represent the number of students in the key club

We have;

n(A∪B∪C) = n(A) + n(B) + n(C) -  n(A∩B) - n(B∩C) - n(C∩A) + n(A∩B∩C)

Where;

n(A∪B∪C) = 1000

n(A) = 310

n(B) = 650

n(A∩B) = 170

n(B∩C) = 180

n(C∩A) = 150

n(A∩B∩C) = 50

Therefore;

n(C) = n(A∪B∪C) - (n(A) + n(B) -  n(A∩B) - n(B∩C) - n(C∩A) + n(A∩B∩C))

Substituting the values gives;

n(C) = 1000 - (310 + 650 -  170 - 180 - 150 + 50) = 490

The number of students in the key club, n(C) = 490.

5 0
3 years ago
A rectangle has an area of 8x2 - 2x - 45. The length of the
Savatey [412]

Answer:

Width = W = 2x-5

Step-by-step explanation:

Given Data:

Length of rectangle = L = 4x + 9 ------->(Equation 1)

Area of rectangle = A = 8x^{2} - 2x -45 square inches ------->(Equation 2)

To find out:  

Width of rectangle = W = ?  

Formula:  

Area = A = L×W

Width = W = \frac{A}{L}

Solution:  

Width = W = \frac{A}{L}

Width = W = \frac{8x^{2} - 2x - 45 }{4x+9}

For complete division check the attached image.

Width = W = 2x-5 inches

 

5 0
3 years ago
You are making identical bagel platters using 40 plain bagels, 30 raisin bagels, and 24 blueberry bagels. what is the greatest n
Marat540 [252]

Answer:

100

Step-by-step explanation:

94 bagels in total. 100 will be plenty

4 0
3 years ago
Read 2 more answers
-5x-18y=-28 and -10x+9y=-11 solve elimination
Dmitry [639]

Answer:

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

x=2,\:y=1

Step-by-step explanation:

Given the equations

-5x-18y=-28

-10x+9y=-11

solving the system of the equation by elimination method

\begin{bmatrix}-5x-18y=-28\\ -10x+9y=-11\end{bmatrix}

\mathrm{Multiply\:}-5x-18y=-28\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-10x-36y=-56

\begin{bmatrix}-10x-36y=-56\\ -10x+9y=-11\end{bmatrix}

-10x+9y=-11

-

\underline{-10x-36y=-56}

45y=45

\begin{bmatrix}-10x-36y=-56\\ 45y=45\end{bmatrix}

solve 45y=5 for y:

45y=45

\frac{45y}{45}=\frac{45}{45}

y=1

\mathrm{For\:}-10x-36y=-56\mathrm{\:plug\:in\:}y=1

solve -10x-36\cdot \:1=-56 for x:

-10x-36\cdot \:1=-56

-10x-36=-56

Add 36 to both sides

-10x-36+36=-56+36

-10x=-20

\frac{-10x}{-10}=\frac{-20}{-10}

x=2

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

  • x=2,\:y=1
5 0
3 years ago
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