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Veseljchak [2.6K]

3 years ago

11

Which linear function rule models the table below? (0,6) (5,9) (10,12) (15,15)

1 answer:

Dovator [93]3 years ago

6 0

Answer:

y= 0.6x + 6 or y= 3/5x + 6

Step-by-step explanation:

The function for a linear function is y=mx+b.

We know that b is 6 because that is the y-intercept.

However to find m we need to see how much the x coordinates skip on the table and the y coordinates. We can see that x coordinates skip by 5s and the y corrdinates skip by 3. We than divide 3/5 to get o.6 and we get the equation. This video, tittled "Writing A Linear Equation From A Function Table" explains it much better than I can.

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The graph of the quadratic function y = ax^2 + bx + c is given.<br> Find a + b + c.

andrey2020 [161]

Answer:

$\frac{145}{24}\approx 6$ ***

Answers may vary depending on the person reading the graph.

It is hard to tell what they think crosses nicely.

For example, I decided that the graph crossed nicely at the following points:

$(0,3)$

$(2,8)$

$(6,5)$

Step-by-step explanation:

I see that the graph crosses at $(0,3)$ , $(2,8)$ , and $(6,5)$ .

The equation $y=ax^2+bx+c$ tells us the $y$ -intercept is $c$ since when $x=0$ we have $y=a(0)^2+b(0)+c=0+0+c=c$ .

The $y$ -intercept for our graph is $3$ . Therefore, $c=3$ .

So far we have the equation:

$y=ax^2+bx+3$ .

Let's enter the other points creating a system of linear equations to solve:

$8=a(2)^2+b(2)+3$

$5=a(6)^2+b(6)+3$

Let's simplify:

$8=4a+2b+3$

$5=36a+6b+3$

Let's subtract 3 on both sides:

$5=4a+2b$

$2=36a+6b$

I choose to solve the system by elimination.

Let's multiply the top equation by -3:

$-15=-12a-6b$

$2=36a+6b$

Now adding the equations results in:

$-13=24a$

Divide both sides by 24:

$\frac{-13}{24}=a$

Now using one of the equations we can find $b$ :

$5=4a+2b$ with $a=\frac{-13}{24}$

$5=4\frac{-13}{24}+2b$

$5=\frac{-13}{6}+2b$

Add 13/6 on both sides:

$5+\frac{13}{6}=2b$

$\frac{30+13}{6}=2b$

$\frac{43}{6}=2b$

Divide both sides by 2:

$\frac{43}{2(6)}=b$

$\frac{43}{12}=b$

So we have the equation:

$y=\frac{-13}{24}x^2+\frac{43}{12}+3$

Let's evaluate $a+b+c$ now:

$\frac{-13}{24}+\frac{43}{12}+3$

$\frac{-13+86+72}{24}$

$\frac{73+72}{24}$

$\frac{145}{24}$

4 0

3 years ago

Please help :) <br> Due asap and thx!

Elenna [48]

Answer:

b . 6 is the length of the hypotenuse

8 0

2 years ago

Three investors own a company. One partner owns One-fourthof the company, while the second partner owns Two-fifths of the compan

Lelechka [254]

Answer:

7/20

Step-by-step explanation:

2/5 = 8/20

1/4 = 5/20

20/20 - 13/20 = 7/20

5 0

2 years ago

Solve -3.5 = for x using the multiplication property of equality. The operation in the problem is eration is Addition Subtractio

Gemiola [76]

The answer is the Division on the top The multiplication then -14

Step-by-step explanation: I hope this will help you

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3 years ago

What is the radius of a basketball hoop with a circumference of 56.52

evablogger [386]

Answer:

Step-by-step explanation:

R= C/2pi R

56.52/ 2pi=8.99543738355

Answer to 2 significant figures=9.0

7 0

3 years ago