Make a table of values and create a line of best fit

Answers

Answer 1

Answer:

Explanation:

Hello! remember you have to write complete questions in order to get good and exact answers. Here I'll explain this in a general way assuming the following table:

$\begin{array}{cc}x & y\n0 & 0\n1 & 2\n2 & 4\n3 & 6\n4 & 8\n5 & 10\end{array}$

As you can see, x increases in steps of 1 units. So let's check the difference in y:

$\bullet \ \text{From x=0 to x=1} \n \n \Delta y=2-0=2 \n \n \n \bullet \ \text{From x=1 to x=2} \n \n \Delta y=4-2=2 \n \n \n \bullet \ \text{From x=2 to x=3} \n \n \Delta y=6-4=2 \n \n \n \bullet \ \text{From x=3 to x=4} \n \n \Delta y=8-6=2 \n \n \n \bullet \ \text{From x=4 to x=5} \n \n \Delta y=10-8=2$

So we have a constant difference and we can conclude the table represents a line. Since the line passes through then y is directly proportional to x, so we can write:

$y=kx \n \n Where: \n \n k \ is \ constant \ of \ proportionality \ or \ the \ slope$

Then:

$k=(2-0)/(1-0)=2$

Finally, the equation of the line is:

$\boxed{y=2x}$

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Which strategy would you use to find 2+8? Explain how u decide?

Answers

I added because the plus sign tells us to add. Adding is when you do 8 plus 2 more numbers which equals 10.

Hope I Helped You!!!

Well, u could count on your fingers. 2 fingers plus 8 fingers is 10 fingers. so u get 10.

Why is the product of a rational number and an irrational number irrational

Answers

Great question. Let's let r be a rational number and s be irrational. Note r has to be nonzero for this to work. In other words, it's not true that when we multiply zero, a rational number, by an irrational number like π we get an irrational number. We of course get zero.

The question is: why is the product

$p = rs$

irrational?

In math "why" questions are usually answered with an illuminating proof. Here the indirect proof is enlightening.

Suppose p was rational. Then

$s = \frac p r$

would be rational as well, being the ratio of two rational numbers, so ultimately the ratio of two integers.

But we're given that s is irrational so we have our contradiction and must conclude our assumption that p is rational is false, that is, we conclude p is irrational.

A proof by contradiction.

Let assume that the product of a rational number and an irrational number is rational.

Let $(a)/(b)$ and $(c)/(d)$ be rational numbers, where $a,b,c,d\in \mathbb{Z} \wedge b,d\not=0$ and $x$ an irrational number.

Then

$(a)/(b)\cdot x=(c)/(d)\nx=(bc)/(ad)$

Integers are closed under multiplication, therefore $bc$ and $ad$ are integers, making the number $x=(bc)/(ad)$ rational, which is contradictory with the earlier statement that $x$ is an irrational number.

Help me please!!!!!!!!!!!

Answers

ratio and portion

taggednow to tagged later comparison

assuming the tagged onws aer in ratio

25-16=9
9/25=0.36=36%

I would assume that the eagle population dropped 36%

If f(1) = 2 and f (n) = f(n-1) +5 then find the value of f (6)

Answers

Answer:

f (6) + 1

Step-by-step explanation:

light work I hope this hleps

How to solve -2/3 w+5=4

Answers

$- (2)/(3) w + 5 = 4$

Refine:

$5 - (2w)/(3) = 4$

Multiply both sides by 3 :

$3 * 5 -3* (2w)/(3) = 3*4$

Refine:

$15 - 2 w = 12$

Subtract 15 from both sides:

$15 - 2w - 15 = 12 - 15$

$- 2w = -3$

Divide both side by -2 :

$(-2w)/(-2) = (-3)/(-2)$

$w = (3)/(2)$

hope this helps!.

Mr.Kent teaches 7 classes that are each 50 minutes long.he Lao has a 30-minute lunch break.how much time does mr.kent spend teaching class and at lunch?

Answers

7*50+30 which equals 380

Answer:

380 minutes

Step-by-step explanation:

7*50 = 350 + 30 = 380 minutes

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2b−15>21? How do I do this and what is the answer???

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