Y = |x| is a v-shaped graph that opens up and have vertex (0, 0).
Now we need to see each change done to it.
y = -|x| makes every y-coordinate its additive inverse, so y = -|x| still has the vertex at (0, 0), but now is turned downward.
y = -|x| + 2 can be changed to
y - 2 = -|x|
Now y was replaced by y - 2. When y is replaced by y - k, the graph shifts vertically k units. In this case, k = 2, so the graph shifts up 2 units. The vertex is now at (0, 2).
Vertex: (0, 2)
Domain: all real numbers
Range: all real numbers less than or equal to 2.
Answer:
9abc(ac² - 3)
Step-by-step explanation:
<u>Given polynomial:</u>
<u>Factors of the terms:</u>
- 9a²bc³ = 3*3*a*a*b*c*c*c
- 27abc = 3*3*3*a*b*c
<u>Common factors of the above: </u>
<u>So the answer:</u>
- 9a²bc³ -27abc = 9abc(ac² - 3)
Answer:
(3^6)/2
Step-by-step explanation:
make sure everything as the numerator is in parenthesis
For this case, the first thing you should do is define a variable.
We have then:
x: number of passengers remaining who can board the plane.
We have as data:
1) They can board up to 149 passengers
2) There are 96 passengers currently aboard.
Writing inequality we have:
Answer:
An inequality that can be used to determine how many more people can board is:
Answer:
254,625 eggs
Step-by-step explanation:
Multiply 485 eggs by 525 crates