Answer:
The correct graph is graph E.
Step-by-step explanation:
We can tell this because we know the graph must stay below 3. So any graph over 3 gets thrown out. We also know that it must not go further down than -3. This is because any number over -3 as an input, when taking an absolute value, would be greater than 3.
Graph E shows numbers that are all less than 3 and greater than -3.
9514 1404 393
Answer:
replace recipe quantities:
1/4 ⇒ 5/8; 1/2 ⇒ 1 1/4; 1 ⇒ 2 1/2; 1 1/2 ⇒ 3 3/4; 2 ⇒ 5
Step-by-step explanation:
The given recipe serves 4, so must be multiplied by 10/4 = 5/2 to make it make 10 servings.
The numbers in the recipe (ignoring units or ingredients) are ...
1/4, 1/2, 1, 1 1/2, 2
Each of these numbers needs to be multiplied by 5/2 to get the number for the larger recipe.
1/4 × 5/2 = 5/8
1/2 × 5/2 = 5/4 = 1 1/4
1 × 5/2 = 5/2 = 2 1/2
(1 1/2) × 5/2 = 3/2 × 5/2 = 15/4 = 3 3/4
2 × 5/2 = 5
Then, to make the larger recipe, rewrite it with the quantities replaced as follows:
old value ⇒ new value
1/4 ⇒ 5/8
1/2 ⇒ 1 1/4
1 ⇒ 2 1/2
1 1/2 ⇒ 3 3/4
2 ⇒ 5
__
For example, 1 1/2 lbs of fresh tomatoes ⇒ 3 3/4 lbs of fresh tomatoes
_____
<em>Additional comment</em>
If you actually want to create the recipe, you may find it convenient to use a spreadsheet to list quantities, units, and ingredient names. Then you can add a column for the quantities for a different number of servings, and let the spreadsheet figure the new amounts. (A spreadsheet will compute quantities in decimal, so you will need to be familiar with the conversions to fractions--or use metric quantities.)
Answer:
x=y-48, y=x+48
Step-by-step explanation:
Step-by-step explanation:
Using distance formula: { origin is (0,0)}
√(x - 0)² + (y - 0)²
√x² + y²
ANSWER
The correct answer is C 
.
<u>EXPLANATION</u>
We have
and
.
We solve the two equation simultaneously by elimination method. We need to be smart and eliminate y, since we are looking for 
.
We first multiply equation (2) by 2
.
We add equation (3) and (1).
.
Dividing through by 6 gives
.
