Answer:
P(x) = - 5(x + 2)²(x - 3)
Step-by-step explanation:
Given roots x = - 2 with multiplicity 2 and x = 3 , then the factors are
(x + 2)² and (x - 3)
P(x) is then the product of the factors, that is
P(x) = a(x + 2)²(x - 3) ← a is a multiplier
To find a substitute (2, 80) into P(x)
80 = a(2 + 2)²(2 - 3) = a(16)(- 1) = - 16a ( divide both sides by - 16 )
a = - 5
P(x) = - 5(x + 2)²(x - 3)
The answer is 120 degrees
Answer:
Option A, Left by 4 units
Step-by-step explanation:
<u>Step 1: Convert g(x) to a function square</u>
We currently have g(x) in this order: 
However, we want g(x) to be in this order: 
The first thing we have to do is to factor it out:



<u>Step 2: Now we can see which way we need to move it</u>
The original form is: 
Since the - has changed to a +, that means that we moved -4 spaces down the x-axis. This means that we move left by 4 units.
Answer: Option A, Left by 4 units
<em>Look at the graphs below to make sure:</em>
Two angle that form a linear pair are supplementary meaning they add to equal 180° (straight line).
make the bigger angle = x
then smaller angle = x - 30°
x + x - 30 = 180
2x - 30 = 180
2x = 180 + 30
2x = 210
x = 210/2
x = 105
The question is to find the smaller angle which was: x - 30
105 - 30 = 75°
Your equation has no solution.
Hope this helped! c: