1 to left gives (x -1)^2
vertical stretch makes it 5(x - 1)^2
reflection in axis changes the sign to - :-
equation of new function is f(x) = -5(x - 1)^2
Answer:
3) Midpoint is (-4,0.5)
Option A is correct.
4) Midpoint is (2.5,0)
Option B is correct.
5) The factors are (x+4)(x-7)
Option C is correct.
6) The factors are (x+4)(x+2)
Option A is correct.
Step-by-step explanation:
Question 3
Find midpoint of the following:
(2,-7), (-10,8)
The formula used to find midpoint is: 
We have 
Putting values and finding midpoint

So, Midpoint is (-4,0.5)
Option A is correct.
Question 4
Find midpoint of the following:
(2,-10), (3,10)
The formula used to find midpoint is: 
We have 
Putting values and finding midpoint

So, Midpoint is (2.5,0)
Option B is correct.
Question 5
Factor each completely

We will break the middle term and find factors

So, the factors are (x+4)(x-7)
Option C is correct.
Question 6
Factor each completely

We will break the middle term and find factors

So, the factors are (x+4)(x+2)
Option A is correct.
The labor-force participation rate of Belgium in 2017 was 77.78%
1.
Given:
Adult population = 4500
Number of employed in 2017 = <em>2800</em>
Number of Unemployed in 2017 = 700
Labor force participation rate = (employed + unemployed) / total population × 100
= (2800 + 700) / 4,500 × 100
= 3,500 / 4500 × 100
= 0.777777777777777 × 100
= 77.77777777777777%
Approximately, 77.78%
2.
Given:
Adult Population in 2016 = 3500
Number of employed in 2016 = 1800
Number of Unemployed in 2016= 600
Unemployment rate = unemployed population/ total labor force × 100
= 600 / 3,500 × 100
= 0.171428571428571 × 100
= 17.14285714285714%
Approximately,
17.14 %
Therefore, the unemployment rate of Japan in 2016 was 17.14%
Learn more about unemployment rate:
brainly.com/question/13280244
Answer:
Darcy and Jason have $124 combined
Step-by-step explanation:
You need the Law of Cosines here and you use it when you have 2 sides and an enclosed angle. The side across from the angle is the one we are looking for. The correct way to express the Law using what we have is the last choice above. Side RT is the unknown, and it is across from the angle that is enclosed between the 2 other sides.