Y = -x^2 + x + 2
y = -x + 3
-x + 3 = -x^2 + x + 2
x^2 - x - 2 - x + 3 = 0
x^2 -2x + 1 = 0
(x - 1)(x - 1) = 0
x - 1 = 0 y = -x + 3
x = 1 y = -1 + 3
y = 2
solutions are : (1,2) , (1,2)
11.5
itssssssssssssssssssssssssssssssssssssssssssssssss
8/25
-18/46
(if it says to simplify: -9/23)
1-(b)
2-(b)111600
3-(a)
4-(d)
Answer:
a) 19 batches
b) $0.18
Step-by-step explanation:
A 4-pound bag of sugar contains 4 54 one-teaspoon servings and costs $3.49. A batch of muffins uses 1/2 cup of sugar.
1 cup = 48 teaspoons
a) How many whole batches can you make if you use as much of the sugar as possible?
1 batch = 1/2 cups of sugar = 24 teaspoons of sugar
Hence,
24 teaspoons of sugar = 1 batch
454 one-teaspoon servings = x
Cross Multiply
24 × x = 1 × 454
x = 454/24
x = 18.9166666667
Approximately to whole batches = 19 batches
b) What is the cost of sugar for each batch?
454 one-teaspoon servings and costs $3.49 = 19 batches
Hence
19 batches = $3.49
1 batch = x
x= $3.49/19
x = $0.18368421052
Approximately = $0.18
