7√7
using the ' rule of radicals '
• √a × √b ⇔ √ab
simplifying the radicals
√28 = √(4 × 7 ) = √4 × √7 = 2√7
√63 = √(9 × 7) =√9 × √7 = 3√7
√112 = √(16 × 7 ) = √16 × √7 = 4√7
substituting into the expression
3(2√7) - 5(3√7) + 4(4√7) = 6√7 - 15√7 + 16√7 = 7√7
Answer: Only B
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Explanation:
For situation A,
- x is the input and it represents the student's name.
- y is the output and it represents the colors the student likes.
The pairing (x,y) tells us what a certain student likes in terms of color.
For example, the point (Allen, Red) tells us that Allen likes the color red. We could also have (Allen, Green) telling us he also likes green. Because the input "Allen" maps to more than one output, this means situation A is not a function. A function is only possible if any given input maps to exactly to one output. The input must be in the domain. The domain in this case is the set of all students in the classroom.
In contrast, Situation B is a function because a student will only have one favorite math teacher. I'm interpreting this to mean "number one favorite" and not a situation where a student can select multiple favorites.
ANSWER
The turning point is
EXPLANATION
The function given to us is
At turning point,
So we need to differentiate the given function and equate it to zero.
We using the chain rule of differentiation, we obtain,
We equate this to zero to obtain,
We divide through by 3.
We solve for x to get,
We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.
Therefore the turning point is
C is the correct answer.
Answer:
11.2 hours or 11 hours 12 minutes
Step-by-step explanation:
In this question, we are to calculate the amount of time spent by Sara in attending meetings weekly.
In the question, we are made to understand that she attends a meeting at a rate of 0.28 multiplied by the total amount of time she works.
To get the time she attends the meeting, we only need to multiply the decimal by the number of hours she works
Mathematically that would be 0.28 * 40 = 11.2 hours per week
We might take it further to get the time in the format of hours and minutes. That would be 0.2 * 60 yo convert the hours to minutes. This gives 12 minutes .
She attends meeting 11 hours 12 minutes per week
