The first step is to draw the graph. Once we do this, we can easily see that the vertex is at (12,64), which means that the hourly profit of coffee sold is highest at 12 cups of coffee. The x-intercepts are at x = 4 and x = 20, which means that between 0 and 4 (inclusive) cups of coffee sold, and after 20 cups sold, there is no profit.
Step-by-step explanation:
6 is the difference between the numbers
Use this Formula to solve your every arithmetic problem..
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7 to the 6 power + 8 x 9 = 299,096,375,126,481
One
<u>possible answer</u> is:
y ≤ 4 and
y > 1/2x.
Explanation:
The y-coordinate of both points D and E is 4. This means if we specify that y≤4, anything above these points (point A) will not be included in the shaded area. To graph this inequality, we draw a solid line at y=4 and shade the area below it.
When we graph the ordered pairs, we can see that F would be below the line that goes from B to C. To find the equation of this line, we first find the slope using the formula
.
Using the coordinates of B and C, we have
Now we plug this into point-slope form,
y - y₁ = m(x - x₁)
y - y₁ = 1/2(x - x₁)
Using B as (x₁, y₁) we have
y - -2 = 1/2(x - -4)
y + 2 = 1/2(x + 4)
Using the distributive property,
y + 2 = 1/2*x + 1/2(4)
y + 2 = 1/2x + 2
Subtracting 2 from each side,
y + 2 - 2 = 1/2x + 2 - 2
y = 1/2x
This line goes through B and C. We want the area above this, but we do not want B and C included; this means we specify that y is greater than this line:
y > 1/2x
This would be graphed as a dotted line with the area above it shaded, up to the inequality y ≤ 4.