Answer:
1. Nonlinear
2. Nonlinear
3. Linear
Step-by-step explanation:
Hello there!
To solve this question, let's figure out a ratio of how much an x variable goes up by how much the y goes up. If it is a linear function (meaning a straight line), this ratio should stay consistent throughout the whole data plot.
For the first one, we can see that x is going up by 1, and so is y. But on the second to last, it jumps up once on the x value by 1, but y went up by two. This is not a consistent ratio and is considered nonlinear.
For the second one, we can see that for every x value going up 1, the y goes up by 1 too, as seen between the transition from the x values 1 to 2. However, when it goes from 2 to 4, the correct y value, if linear, should be 5.8. This is nonlinear.
The last one says that when x goes up by one, y value decreases by 2. this stays consistent all around and is linear.
Supa dupa easy
remember
x^-m=1/(x^m) and
(x^m)/(x^n)=x^(m-n)
so
(11^4)/(11^8)=11^(4-8)=11^-4=1/(11^4)
2nd option
Answer:
p34 coop
Step-by-step explanation:
4 - (x+2) < -3(x+4)
4 -1(x) -1(2) < -3(x) -3(4)
4 - x - 2 < -3x -12
<u> +3x +3x </u>
<u />2 + 2x < -12
<u>-2 -2
</u> 2x < -14
<u /> <u> ÷2 ÷2 </u>
x < -7
assume that x = -8
4 - (-8 + 2) < -3(-8 + 4)
4 - (-6) < -3(-4)
4 + 6 < 12
10 < 12 the inequality is true.