Easy calculator will always help! happy to help u :)
Answer:
The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches
Step-by-step explanation:
We have that:
Let the dimension of the paper be x and y;
Such that:
So:
Substitute 128 for Area
Make x the subject
When 1 inch margin is at top and bottom
The length becomes:
When 2 inch margin is at both sides
The width becomes:
The New Area (A) is then calculated as:
Substitute for x
Open Brackets
Collect Like Terms
To calculate the smallest possible value of y, we have to apply calculus.
Different A with respect to y
Set
This gives:
Collect Like Terms
Multiply through by
Divide through by 2
Take square roots of both sides
Recall that:
Recall that the new dimensions are:
So:
To double-check;
Differentiate A'
The above value is:
This means that the calculated values are at minimum.
<em>Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches</em>
Answer:
1. Plot the point (–2,4).
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points.
Step-by-step explanation:
Given:
The equation is:
Express this in the standard form,
Where, is the slope of the line and is the y-intercept.
So, the slope is and y-intercept is .
Now, for
So, first we plot the point .
Since, the slope is , we have to move 3 units to left and then 1 unit down to plot a second point.
Slope is positive, therefore, we have to move left and then down
Lastly, we have to draw a line passing through these two points to graph the equation .
Answer:
There can be 8 teams at most
4 girls on each team
5 boys on each team
hope this helps! :)
Answer:
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Step-by-step explanation:
You are subtracting two functions to get the profit, the formula is p(x)=r(x)-c(x). You know what two of those functions are equivalent to so plug it in to get
p(x)=11x-(6x+20)
to solve you must first get rid of the parentheses by distributing the negative.
p(x)=11x-6x-20
then, combine like terms (both x's)
p(x)=5x-20
That is your final answer.