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1 year ago

Which sets of ordered pairs represent functions?

Mathematics

1 answer:

Alika [10]1 year ago

8 0

The ordered pair in roaster form {(2,8), (3, 12), (4, 16), (5, 20)} is a function.

<h3>What is the domain and range of a function?</h3>

Suppose we have an ordered pair (x, y) then the domain of the function is the set of values of x and the range is the set of values of y for which x is defined.

We know a function can be many one which means different inputs leads to same output but one to many is not a function as same input can not lead to different outputs.

{(2,8), (3, 12), (4, 16), (5, 20)} is a function as each different input leads to a different output.

learn more about functions and sets here :

brainly.com/question/12979762

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7. Solve the equation using the quadratic formula.<br> 3x^2 = 2(2x+1)

suter [353]

Answer:

$\rm x = \dfrac{2+\sqrt{10}}{3},\dfrac{2-\sqrt{10}}{3}$

Step-by-step explanation:

A quadratic equation is given to us and we need to solve the equation using the quadratic formula . The given equation is ,

$\rm\implies 3x^2=2(2x+1)$

Open the brackets in RHS ,

$\rm\implies 3x^2= 4x + 2$

Transpose all the terms to LHS ,

$\rm\implies 3x^2-4x-2=0$

The general form of a quadratic equation is ax² + bx + c = 0 , and the roots of the equation by the Quadratic Formula ( Shreedhacharya's Formula ) is given by ,

$\rm\implies\red{ x =\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}$

Using the quadratic formula , we have ,

$\rm\implies x =\dfrac{-(-4) \pm \sqrt{(-4)^2-4(3)(-2) }}{2(3)}$

Simplify ,

$\rm\implies x =\dfrac{4 \pm \sqrt{16+24 }}{6}$

$\rm\implies x = \dfrac{4\pm \sqrt{40}}{6}$

$\rm\implies x =\dfrac{4\pm 2\sqrt{10}}{6}$

$\rm\implies\boxed{\pink{\frak{ x = \dfrac{2+\sqrt{10}}{3},\dfrac{2-\sqrt{10}}{3}}}}$

8 0

2 years ago

Evaluate the expression when n=3. 3 squared+ 16

natita [175]

3^2 + 16
= (3 • 3) + 16
= 9 + 16
= 25

~

5 0

3 years ago

Find the output, h, when the input, x, is -18.<br> h = 17+<br> =<br> I<br> 6

Sloan [31]

The value of output, h, when the input, x, is -18 for the given equation is 14

<h3>Solving an equation </h3>

From the given question, we are to determine the value of the output, h, when the input x is -18

The given equation written properly is

h = 17 + x/6

Now, to determine the value of output, h, we will put in the value of x into the equation

h= 17 + x/6

The given value of x is -18

Thus, putting the given value of x into the equation, we get

h= 17 + x/6

h= 17 + -18/6

h = 17 + -3

h = 17 - 3

NOTE: + × - = -

h = 14

∴ h is 14 when x is -18

Hence, the value of output, h, when the input, x, is -18 for the given equation is 14

Learn more on Solving an equation here: brainly.com/question/20725347

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5 0

2 years ago

The ratio of two number is 7 to 3 and their sum is 50 find the two number

yKpoI14uk [10]

Answer:

35:15

Step-by-step explanation:

7:3=10 (7+3)

14:6=20 (14+6)

21:9=30 (21+9)

28:12=40 (28+12)

35:15=50 (35+15)

There is a more mathematical way to solve this but it isn't coming to mind rn so

4 0

2 years ago

I need help with this math this is new for me I am trying to help my grandson. <br> Thank you

kirill [66]

Answer:

Step-by-step explanation:

(I'm assuming your son hasn't learned Pythagorean theorem so I'm going to avoid using that)

10. Works because that's a rectangle or a parallelogram

11. 5,5,6,14 is possible with a weird Trapezoid

12. Works, that's a square, or a parallelogram

13. 4,3,5,14 is not possible in anyway

(Also, this math is weird, i understand how its new for you, im a tutor and struggled with this, this is what i came up with though, hope it helps)

-- Gage Millar, Algebra 2 Tutor

3 0

2 years ago