<h3>
Answers:</h3>
- g(-1) = -1
- g(1) = -3/2
- g(5) = -7/2
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Explanation:
The piecewise function g(x) is defined based on what the input is.
- If the input x is less than -2, then g(x) = 2
- Or if
then g(x) = -(x-1)^2+3 - Or if
then g(x) = (-1/2)x-1
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In the case of g(-1), we have x = -1 which makes
true.
So we'll use the second piece
g(x) = -(x-1)^2+3
g(-1) = -(-1-1)^2+3
g(-1) = -(-2)^2+3
g(-1) = -4+3
g(-1) = -1
----------------
For g(1), we have x = 1 which makes
true
We'll use the third piece
g(x) = (-1/2)x-1
g(1) = (-1/2)*1 - 1
g(1) = -1/2 - 1
g(1) = -1/2 - 2/2
g(1) = -3/2
-----------------
For g(5), we have x = 5 which makes
true
g(x) = (-1/2)x-1
g(5) = (-1/2)*5-1
g(5) = -5/2 - 1
g(5) = -5/2 - 2/2
g(5) = -7/2
Answer:
10%
Step-by-step explanation:
Given: CP of lemon is $600.
3/4 of lemon sold at 20% loss
Remaining lemon at 20% gain.
Considering the quantity of lemon remain constant.
Cost price of 3/4 of lemon= 
As given, 3/4 of lemon sold at 20% loss.
∴ Selling price of 
Selling price= 
Hence, selling price of 3/4 lemon is $360.
Now, the cost price of remaining lemon 
∴ The cost price of
As given, remaining 
∴ Selling price of 
Selling price of 
Hence, selling price of 1/4 lemon is $180
Loss\profit percent= 
∴ Loss\profit percent= 
Hence, the loss percentage is 10%
Answer:
(5, - 7 )
Step-by-step explanation:
A translation rule of
(x, y ) → (x + 1, y - 3 )
means add 1 to the original x- coordinate and subtract 3 from the original y- coordinate, that is
(4, - 4 ) → (4 + 1, - 4 - 3 ) → (5, - 7 )
0.5 ,0.6 ,0.7 ,0.8 ,0.9 ,1,1 .1 ,1.2 ,1.3