Answer:
k(x) = -|x + 2| + 3
Step-by-step explanation:
Parent function of the absolute function given in the graph,
f(x) = |x|
1). Function 'g' is reflected across the x-axis, then the image will be,
h(x) = -f(x) = -|x|
2). Function 'h' the shifted 2 units left and 3 units upwards, image function will be,
k(x) = h(x + 2) + 3
k(x) = -|x + 2| + 3
Therefore, the transformed function is k(x) = -|x + 2| + 3.
Convert what to ounces ? Gallons? If yes then that would be 448 ounces
Answer:
- drink cost: $1.75
- slice of pizza cost: $2.25
Step-by-step explanation:
Let d and p represent the costs of a drink and a pizza slice, respectively. The two orders have a value ...
d + 3p = 8.50
2d + 2p = 8.00
Subtracting the second equation from twice the first gives ...
2(d +3p) -(2d +2p) = 2(8.50) -(8.00)
4p = 9.00 . . . . . simplify
p = 2.25 . . . . . . divide by 4
Solving the first equation for d and putting in the value, we have
d = 8.50 -3p = 8.50 -3·2.25 = 8.50 -6.75
d = 1.75
The cost of a drink is $1.75; the cost of a pizza slice is $2.25.
No
There is not a common factor
Answer:

Step-by-step explanation:
We can factor out a 1 from -3 to get
.
We know from simple arithmetic that
.
So, our answer is 