Answer:
a) x is the independent and y in the dependent
b) y=4
Step-by-step explanation:
b.) How much of the trail mix remains after you eat 6 servings?
Substitute 6 into the x variable.
y=16-2(6)
y=4
Answer: 70%
Step-by-step explanation:
Step 1:
Total number of teachers = 63 + 27
= 90
Step 2:
The percentage of the teachers in the meeting were first-year teachers:
(63 ÷ 90) × 100 = 70%
|x + 2| + 16 = 1
<u> - 16 - 16</u>
|x + 2| = -15
x + 2 = -15 U x + 2 = 15
<u> - 2 - 2</u> <u> - 2 - 2</u>
x = -17 x = 13
|2x + 6| - 4 = 20
<u> + 4 + 4</u>
|2x + 6| = 24
2x + 6 = 24 U 2x + 6 = -24
<u> - 6 - 6</u> <u> - 6 - 6</u>
<u>2x</u> = <u>18</u> <u>2x</u> = <u>-30</u>
2 2 2 2
x = 9 x = -15
Alright, this one is a little interesting... Let's perform some tests to figure out what is happening:
f(-10) = -(1/(-10)^3) = -(1/-1000) = 1/1000 (positive)
f(-5) = -(1/(-5)^3) = -(1/-125) = 1/125 (positive, bigger than the last one)
f(-1) = -(1/(-1)^3) = -(1/-1) = 1 (positive, bigger than the last one)
f(-0.1) = -(1/(-0.1)^3) = -(1/-0.001) = 1/0.001 = 1000 (positive, bigger than the last one)
f(0) = -(1/0^3) = undefined!
f(0.1) = -(1/(0.1)^3) = -(1/0.001) = -1/0.001 = -1000 (negative)
f(1) = -(1/1^3) = -(1/1) = -1 (negative, but bigger than last one)
It's a little confusing with the undefined part at x = 0. What I can say is this, it is increasing from -10 up to 0, something weird happens at 0 and it resets, and starts increasing from 0 up to 0.1.
I guess A would be the best answer?
Answer:
Step-by-step explanation:
X/-5+3=-2
Collecting like terms
x/-5 = -2 - 3
x/-5 = -5
Multiply each term by -5
-5(x/-5) = -5(-5)
x = 25