Answer:
The expression
1
÷
1/4
is given. Give a real-life application to explain this expression and then simplify it.
Given a life expression to solve this, when one divide 100 pieces of pencil by 25 which is 1/4 of the entire pencil.
1/1/4=1 x 4/1
=4
Step-by-step explanation:
divide 1 by 1 over 4, then using cross multiply
then we have 1 multiply 4 divided by 1
4 is the final answer
This is a problem of maxima and minima using derivative.
In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:
V = length x width x height
That is:

We also know that the <span>bin is constructed from 48 square feet of sheet metal, s</span>o:
Surface area of the square base =

Surface area of the rectangular sides =

Therefore, the total area of the cube is:

Isolating the variable y in terms of x:

Substituting this value in V:

Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:

Solving for x:

Solving for y:

Then, <span>the dimensions of the largest volume of such a bin is:
</span>
Length = 4 ftWidth = 4 ftHeight = 2 ftAnd its volume is:
Answer:
The correct answer is D) y + 1 = -2(x - 5)
Step-by-step explanation:
All equations can be written in the following point-slope form.
y - y1 = m(x - x1)
In which, m is the slope. (x1, y1) is the given point. If we use the information given we can find the equation.
y - - 1 = -2(x - 5)
y + 1 = -2(x - 5)
Answer:
John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks. The equation best models the relationship between x and y is y = −25x + 175
Step-by-step explanation: