Answer:
The parent sine graph
has a range of -1 ≤ y ≤ 1
It crosses the x-axis x = 0° ± 180°n
The maximum points occur when x = 90° ± 360°n and y = 1
The minimum points occur when x = 270° ± 360°n and y = -1
The sketch the graph of function
we simply move the graph of
up 2 units.
So this means it will have a range of 1 ≤ y ≤ 3
It no longer crosses the x-axis.
The maximum points occur when x = 90° ± 360°n and y = 3
The minimum points occur when x = 270° ± 360°n and y = 1
<u>Attached diagram</u>
The parent function
is shown in grey (dashed line)
The function
is shown in red.
Question:
Solution:
Let the following equation:
![\sqrt[]{12-x}=\text{ x}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B12-x%7D%3D%5Ctext%7B%20x%7D)
this is equivalent to:
![(\sqrt[]{12-x})^2=x^2](https://tex.z-dn.net/?f=%28%5Csqrt%5B%5D%7B12-x%7D%29%5E2%3Dx%5E2)
this is equivalent to:

this is equivalent to:

thus, we can conclude that
x= 3.
Answer:
5
Step-by-step explanation:
Given that:
Total maximum amount that the owner wishes to spend = $20000
Average price of each car = $4000
To find:
How many cars that the owner can expect to buy?
Solution:
Total number of cars that the owner can expect to buy can be found by dividing the total money available with the owner with the average price of each car.
i.e.

We have the following values as given in the question statement:
Total money available = $20000
Average price of car = $4000
Therefore, the answer is:

The owner can expect to buy 5 number of cars.
Answer:
3√25 is irrational
-11/151 is rational
1.1625 is rational
5.15603418923 is rational
√256 is irrational
√141 is irrational
Step-by-step explanation:
Answer:
the missing side of the rectangle should be twelve
Step-by-step explanation: