Answer:
15
Step-by-step explanation:
We are told in the question that:
Mr Smith's recipe calls for 2 1/2 cups of sugar for the cake and 1 1/4 cups of sugar for the vanilla glaze.
Step 1
We add up the total amount of sugar he would need
2 1/2 + 1 1/4
(2 + 1) + (1/2 + 1/4)
= 3 + (2 + 1/4)
= 3 3/4 cups of sugar.
Step 2
How many 1/4 cup scoops of sugar does he need?
This is calculated as:
3 3/4 cups of sugar ÷ 1/4
= 15/4 ÷ 1/4
= 15/4 × 4
= 15
Therefore, he would be needing 15 , 1/4 cup scoop of sugar
|x| is tricky but maybe I can tell you so that it's clear 4ever.
You have to look at when what's inside the absolute value iszero. In this case x=0. That easy. Then, you have to split the cases:
For x>= 0, you have y = -x+1,
For x<=0, you have y = -(-x) + 1 = x+1, because abs(x)=-x, if x<=0.
Notice that x=0 is included in either case, because |x| is continuous.
Then plot each line choosing a couple of points, notice that for one case you should choose x=-1, -2, or x=0, but not positive values, and the other way for the case with x>=0.
Best
1.666666, any decimal or number that is repeating can be written in a/b format and b not equal zero is rational. Repeating decimals can be considered rational because they can be represented as a ratio of two integers.