Select the correct answer. Bryan works as a florist. The number of bouquets he makes is given by the equation , where b is the n
1 answer:
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Answer:
Option B is correct.
volume in cubic millimeters is, 8000 cubic mm
Step-by-step explanation:
Volume of a cube is found by multiplying the length of any edge by itself twice.
It is given by:
cubic units,......[1] where V represents the volume of a cube and a represents the side of a length.
From the given figure;
Length of a side(a) = 2 cm
Use conversion, to convert cm into mm;
1 cm = 10 mm
then;
2cm =20 mm
⇒length of a side(a) = 20 mm
Substitute the value of a = 20 mm in [1];
cubic mm
Simplify:
Therefore, the volume in cubic millimeters is, 8000 cubic mm
Answer:
length of rectangle = 5
width of rectangle = 5
Area of rectangle = 25
Step-by-step explanation:
Since the length of the rectangle is "x", and the value of the area is given by the product of the length "x" times the width "10-x", indeed, the area "y" of the rectangle is given by the equation:
Now, they tell us that the area of the rectangle is such that coincides with the maximum (vertex) of the parabola this quadratic expression represents. So in order to find the dimensions of the rectangle and therefore its area, we find the x-coordinate for the vertex, and from it, the y-coordinate of the vertex, which is the rectangle's actual area.
Recall that the formula for the x of the vertex of a quadratic of the form :
is given by the formula:
which in our case gives:
Therefore, the length of the rectangle is 5, and its width (10-x) is also 5.
The area of the rectangle is therefore the product of these two values: 5 * 5 = 25
Which should coincide with the value we obtain when we replace x by 5 in the area formula: