3 years ago

Determine the relationship between x and f(c) in the table below and write the equation

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

3 0

Looking at the only columns where we have both x and f(x), we can see this couples:

$\begin{array}{c|c}x&f(x)\\1&1\\49&7\\25&5\end{array}$

We can see that the output is always the square root of the input, so the function is

$f(x)=\sqrt{x}$

and the table completes to

$\begin{array}{c|c}x&f(x)\\9&3\\1&1\\100&10\\4&2\\49&7\\16&4\\0&0\\25&5\\20&\sqrt{20}\end{array}$

You might be interested in

This table models a linear function. x −8 −4 4 8 y −3 0 6 9 Enter the coordinates of the y-intercept in the boxes.

adell [148]

Answer:

y-intercept is 3

Step-by-step explanation:

We are given table

x: -8 -4 4 8

y: -3 0 6 9

We can select any two points

$x_1=-8,y_1=-3$

$x_2=-4,y_2=0$

Firstly, we will find slope

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{0+3}{-4+8}$

$m=\frac{3}{4}\quad$

now, we can use point slope form of line

$y-y_1=m(x-x_1)$

we can plug values

$y+3=\frac{3}{4}(x+8)$

now, we can solve for y

$y=\frac{3}{4}x+3$

For finding y-intercept , we can plug x=0

$y=\frac{3}{4}\times 0+3$

$y=0+3$

$y=3$

So,

y-intercept is 3

8 0

3 years ago

Which ordered pair would fall in the first quadrant of the coordinate plane?

Rasek [7]

It would be (3,10) because it is much bigger then the others

8 0

3 years ago

Read 2 more answers

Where are you were a problem that can be described by the division expression 9 1/3÷2 3/4 use complete sentences in your answer

svp [43]

Answer:

365 days you got it you got it

Step-by-step explanation:

3 0

3 years ago

Find the surface area of this cylinder 12 is height radius is 8

Alika [10]

Answer:

Step-by-step explanation:

Surface area = 2πr(h+r)

= 2 * 3.14 * 8*(8+12)

=2*3.14*8*20

= 1004.8 square unit

8 0

3 years ago

How to simplify y = 34 - 0.5x

Tems11 [23]

Answer:

y = 0.5

Step-by-step explanation:

3 0

2 years ago