Answer:
k = 5
Step-by-step explanation:
given f(x) then f(x) + k represents a vertical translation of f(x)
• If k > 0 then a shift of k units up
• If k < 0 then a shift of k units down
f(x) crosses the y- axis at - 2
g(x) crosses the y- axis at 3
Thus g(x) is 5 units vertically up from f(x)
since g(x) = f(x) + k → then k = 5
Your answer is D because 10*2 is 20 and 6*2 is 12 so 12 out of the next 20 customers will purchase a sandwich.
Answer:
5 times as large
Step-by-step explanation:
The ratio of the two numbers tells you how many times as large one is as the other:

Answer: 3
Step-by-step explanation:
1. Convert the mixed number to fraction:
- Multiply the denominator of the fraction by the whole number.
- Add the product obtained and the numerator of the fraction.
- Write the sum obtained as the numerator and rewrite the original denominator of the fraction.
Then:

2. Multiply the numerators.
3. Multiply the denominator.
4. Reduce the fraction.
Then:

Answer:
51
Step-by-step explanation:
area of the triangle= 1/2 (6-3)(13-7)
=1/2 (3)(6)
=9
area of rectangle= 6×7
= 42
therefore, area of shape = 42+9
=51