Answer:
A proportional relationship is there.
Step-by-step explanation:
Here in the table, the values of y are given corresponding to the values of x.
There are four sets of values of x and y.
We have to check whether the relationship is proportional or not.
Now, rate of change of y with respect to x will be from the first two pair of values is =
Again, rate of change of y with respect to x will be from the second two pair of values is =
And, rate of change of y with respect to x will be from the third two pair of values is =
So, the rate is always 0.75.
Therefore, a proportional relationship is there. (Answer)
Step-by-step explanation:
1. If you are trying to find a linear equation from those two points, use the equation y2-y1 over x2-x1. y2-y1 just means the second point's y coordinate minus the first point's y coordinate (same goes for x2-x1).
2. So if you were to plug the coordinates into the equation, it would be: -8-8 over 8-(-1).
3. Solve to get -16/9 because -8-8=-16 and 8-(-1)=9, so -16/9. -16/9 is the slope of the line in the y=mx +b equation.
4. It would be written like y=-16/9x +b
5. Now we need to find b which is the y-intercept. To find this pick one of the points (we'll just do (-1,8)), and plug in the x and y coordinates and solve for b.
- 8=-16/9(-1) +b
- multiply -16/9 by -1 which is 16/9
- subtract from both sides for it to be 8-16/9 on the left side which is 6 2/9, and that is b
6. The complete equation is now y=-16/9x + 6 2/9
Answer:
61
Step-by-step explanation:
(7 + 5) + 4 * 13 - 2
~Simplify using PEMDAS
12 + 4 * 13 - 2
12 + 52 - 3
64 - 3
61
Best of Luck~
Answer:
|x + 6| = 2
Step-by-step explanation:
|x - b| = c
b is the centre: (-4-8)/2 = -6
b = -6
c is the distance from the centre
-6 - (-8) = -6 + 8 = 2
Or,
-4 - (-6) = -4 + 6 = 2
| x - (-6)| = 2
|x + 6| = 2
Answers:
I can't give you all the answers, because that would be cheating. How ever, I will give you the first 5 answers.
Move the decimal so there is one digit to the left of the decimal point. The places the decimal moved would be the exponent for 10.
- 3.456*10^2
- 8.89*10^-3
- 2.35*10^5
- 2.35*10^-2
- 3.015⋅0