Answer:
pretty sure it's irrational numbers
Answer:
Yes the relationship is linear and given by:
(first option of your list)
Step-by-step explanation:
Yes, it is a linear expression. As we did in previous exercises, we calculate the difference between consecutive y values of the table, and write down the answers we get:
-7-(-2) = -7+2 = -5
-12-(-7) = -12 +7 = -5
-17 - (-12) = -17 + 12 = -5
We notice that all of them give "-5"
Now we evaluate the difference between consecutive x-values in a similar fashion:
-5 -(-9) = -5+9 = 4
-1-(-5) = -1+5 = 4
3-(-1) = 3+1 = 4
We see that they all give 4 as the difference.
That means that the rate of change ![\frac{y_2-y_1}{x_2-x_1} =\frac{y_3-y_2}{x_3-x_2}=\frac{y_4-y_3}{x_4-x_3}=\frac{-5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%3D%5Cfrac%7By_3-y_2%7D%7Bx_3-x_2%7D%3D%5Cfrac%7By_4-y_3%7D%7Bx_4-x_3%7D%3D%5Cfrac%7B-5%7D%7B4%7D)
This means that the slope (rate of change) of the line is "-5/4"
We can now use the general point-slope form to write the equation of the line, using the first pair of the table as our selected point, and using "-5/4" for the slope:
![y-y_0=m\,(x-x_0)\\y-(-2)=-\frac{5}{4} \,(x-(-9))\\y+2=-\frac{5}{4} \,(x+9)](https://tex.z-dn.net/?f=y-y_0%3Dm%5C%2C%28x-x_0%29%5C%5Cy-%28-2%29%3D-%5Cfrac%7B5%7D%7B4%7D%20%5C%2C%28x-%28-9%29%29%5C%5Cy%2B2%3D-%5Cfrac%7B5%7D%7B4%7D%20%5C%2C%28x%2B9%29)
which is the first expression listed among your possible answer choices.
The answer to your question is 57.6
Answer:
x=2, x=-2
Step-by-step explanation:
3x²-3+4x²-12=13
7x²=13+12+3
7x²=28
x²=4
x=-2
x=2