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2 years ago

Define the domain: {(2,3),(0,3),(4,2),(5,6)}

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

5 0

For the following relation the domain would be all of the x coordinates.
D=A. 2,0,4,5

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What two numbers can add to 4 but multiple to -12

olasank [31]

Answer:

Numbers: 6 and -2

Step-by-step explanation:

Equations

This question can be solved by inspection. It's just a matter of factoring 12 into two factors that sum 4. Both numbers must be of different signs and they are 6 and -2. Their sum is indeed 6-2=4 and their product is 6*(-2)=-12.

However, we'll solve it by the use of equations. Let's call x and y to the numbers. They must comply:

$x+y=4\qquad\qquad [1]$

$x.y=-12\qquad\qquad [2]$

Solving [1] for y:

$y=4-x$

Substituting in [2]

$x(4-x)=-12$

Operating:

$4x-x^2=-12$

Rearranging:

$x^2-4x-12=0$

Solving with the quadratic formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

With a=1, b=-4, c=-12:

$\displaystyle x=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-12)}}{2(1)}$

$\displaystyle x=\frac{4\pm \sqrt{16+48}}{2}$

$\displaystyle x=\frac{4\pm 8}{2}$

The solutions are:

$\displaystyle x=\frac{4+ 8}{2}=6$

$\displaystyle x=\frac{4- 8}{2}=-2$

This confirms the preliminary results.

Numbers: 6 and -2

7 0

3 years ago

If cost 5:50 per Hour to rent a pair of ice skates for Up to 2 hours. After 2 hours, the rental cost per hour decreases to 2:50.

Zielflug [23.3K]

16$

5.50 *2 for the first 2 hours

2.50 *2 for 2 hours after the decrease of prices

11 + 5

6 0

2 years ago

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Which property could be used to find the missing number?

LiRa [457]

–4 • (–6.2 + 5) = –4 • (-6.2) + (–4) • 5 it is the so called
distributive property
so the answer is
B.distributive property

7 0

3 years ago

Find the probability of rolling factors of 4.

mylen [45]

The probability of rolling factors of 4 are 4/1 or 2/1

8 0

2 years ago

Please help! Solve x/12+1/3=−5/3. What is x?

Mama L [17]

the answer would be: x= -24

6 0

2 years ago

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