Answer:
(f+g)(x) = x² - x + 6
Step-by-step explanation:
We can find (f+g)(x) by adding f(x) and g(x).
f(x) = x² + 1
g(x) = 5 - x
(f+g)(x) = f(x) + g(x)
(f+g)(x) = (x² + 1) + (5 - x)
(f+g)(x) = x² + 1 + 5 - x
(f+g)(x) = x² - x + 6
Answer:
22.5 quarts
Step-by-step explanation:
Let us find the ratio of orange juice to apple juice. The punch requires 2 quarts of orange juice mixed with 5 quarts of apple juice.
The ratio of orange juice to apple juice is therefore:
2 : 5 or 2/5
Max has 9 quarts of orange juice. By comparing with the ratio, this implies that:
2 / 5 = 9 / x
x = (9 * 5) / 2 = 22.5 quarts
He will need 22.5 quarts of apple juice.
Answer:
The answer is B. 298? im not sure if it was supposed to be ≈ or not
The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³
<h3>Volume of composite object</h3>
The sphere is a a solid 3-dimensional object. THe formula for calculating its volume is expressed as:
V = 4/3πr³
where:
r is the radius of the sphere
<u>For the outer sphere:</u>
V = 4/3π(20)³
<u>For the inner sphere:</u>
V = 4/3π(4)³
The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³
Learn more on volume of sphere here: brainly.com/question/10171109
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