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.
Answer:
$42.83
Step-by-step explanation:
1: Subtract the amount they have by the amount they need.
1328-43= $1,285.
2: Divide amount they need ($1,285) by the total staff members (30). Hence the equation is 1285 ÷ 30
3: Whatever answer you get from that equation is the answer
1285 ÷ 30 = $42.83
When you divide, you are setting the amount each staff member needs to donate by seeing how much money 30 people can give (equally) that adds up to 1285.
Hope this helps :)
-jp524
6t + 5j= 34
2t + 3j = 16
12t + 10 j = 68
12t + 18j = 96
-8j = -28
j = 3.5
jelly beans= 3.5 and trail mix = 2.75
Answer:
<h2>P(x) = (x+3)(x-2)^2</h2>
Step-by-step explanation:
Looking at the brackets you can see where the curve will intersect the x-axis.
The graph shows the curve intersecting at (0,-3) and (0,2).
This means:
x = -3
AND
x = 2
Rearrange the equations, equating them to 0.
x + 3 = 0
x - 2 = 0
This will be the values in the brackets.
Because the curve only touches 0,2 and DOES NOT cross it, we know that x - 2 is a repeated root, hence (x-2) is squared.
Therefore your brackets are: (x+3)(x-2)(x-2)
Which can be simplified:
(x+3)(x-2)^2
Where ^2 means squared.
