Answer: B
<u>Step-by-step explanation:</u>
In order to get the best representative sample, you should choose the widest range of students, which is from a random sample of all students.
(A) Choosing from only the 6th graders, eliminates the choices the other grade-level students would choose.
(C) Choosing only from students who participate in after-school activities, eliminates the choices the other students would choose.
(D) Chhosing only from students not participating in the fundraiser is silly since you want to know what the students participating in the fundraiser would choose.
The only possible option is B - students from all grades, regardless of whether or not they participate in after-school activities.
Answer:
Check below, please
Step-by-step explanation:
Step-by-step explanation:
1.For which values of x is f '(x) zero? (Enter your answers as a comma-separated list.)
When the derivative of a function is equal to zero, then it occurs when we have either a local minimum or a local maximum point. So for our x-coordinates we can say

2. For which values of x is f '(x) positive?
Whenever we have

then function is increasing. Since if we could start tracing tangent lines over that graph, those tangent lines would point up.

3. For which values of x is f '(x) negative?
On the other hand, every time the function is decreasing its derivative would be negative. The opposite case of the previous explanation. So

4.What do these values mean?

5.(b) For which values of x is f ''(x) zero?
In its inflection points, i.e. when the concavity of the curve changes. Since the function was not provided. There's no way to be precise, but roughly
at x=-4 and x=4
Answer:

Step-by-step explanation:
Question 1
The point-slope formula for a straight line is
y – y₁ = m(x – x₁)
x₁ = 3; y₁ = -5; m = -4
Substitute the values

The diagram shows the graph of equation 1 (red) with slope -4 passing through (3,-5).
Question 2
x₁ = -1; y₁ = 8; m = 1
Substitute the values

The diagram shows the graph of equation 2 (green) with slope 1 passing through (-1,8).
Answer:
<u>5 eggs and 3.33 cups of sugar</u>
Step-by-step explanation:
3 eggs are required to make 30 cookies
1 cookie needs 3/30 eggs
so,50 cookies needs 50*3/30=150/30=<u>5 eggs</u>
2 cups of sugar is required to make 30 cookies
1 cookie needs 2/30 cups of sugar
so,50 cookies needs 50*2/30=100/30=<u>3.33 cups of sugar</u>
21 and 21
(it's a square)
and yes, a square is a rectangle