Answer: 40%
Step-by-step explanation:
Since 20 beings preferred Freon juice to all other juices and there were 50 people that were surveyed, the percentage of those that preferred Freon Juice will be:
= Those that preferred Freon Juice / Total number surveyed. × 10
= 20/50 × 100
= 40%
Given two numbers x and y such that:
x + y = 12 ... (1)
<span>two numbers will maximize the product g</span>
from equation (1)
y = 12 - x
Using this value of y, we represent xy as
xy = f(x)= x(12 - x)
f(x) = 12x - x^2
Differentiating the above function:
f'(x) = 12 - 2x
Maximum value of f(x) occurs at point for which f'(x) = 0.
Equating f'(x) to 0 we get:
12 - 2x = 0
2x = 12
> x = 12/2 = 6
Substituting this value of x in equation (2):
y = 12 - 6 = 6
Therefore, value of xy is maximum when:
x = 6 and y = 6
The maximum value of xy = 6*6 = 36
Answer:
A. -11
Step-by-step explanation:
In the function, replace x with -2
R(x) = x^2 - 3x - 1 ➡ R(-2) = (-2)^2 - 3 × 2 -1 = -11
The students spend 1274 hours in school.
<h3>How to determine the number</h3>
From the information given, we have that:
- There are 182 school days
- Each school days take 7 hours
We can then say that, if takes 7 hours for each school day and there are 182 days, then the hours students spent in school is;
= 182 days × 7 hours
Multiply through
= 1274 hours
The students are in school for 1274 hours.
Hence, the students spend 1274 hours in school.
Learn more about word problem here:
brainly.com/question/13818690
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Answer:
8/45
Step-by-step explanation:
Write 4 5/8 as an improper fraction: 45/8.
Then invert this result, obtaining:
. This is the "reciprocal" of 4 5/8.
