Answer:
∴V=(14-2x)(10-2x)x
where V is the volume of the box in cubic units.
Step-by-step explanation:
Given that,
A rectangle has a length of 14 units and width of 10 units.
4 squares with dimensions x by x units are cut out from the each corner of the rectangle.
The length of the box is= (14-2x) units
The width of the box is =(10-2x) units
The height of the box is = x unit.
The volume of the box is = Length × width×height
=(14-2x)(10-2x)x cubic units.
∴V=(14-2x)(10-2x)x
where V is the volume of the box in cubic units.
Answer:
A) y = 3(x -3)^2 -46
B) (3, -46)
C) look at the y-coordinate of the vertex
Step-by-step explanation:
A) Factor the leading coefficient from the variable terms.
y = 3(x^2 -6x) -19
Inside parentheses, add the square of half the x-coefficient. Outside, subtract the same value.
y = 3(x^2 -6x +9) -19 -3(9)
y = 3(x -3)^2 -46
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B) Compared to the vertex form, ...
y = a(x -h)^2 +k
we find a=3, (h, k) = (3, -46).
The vertex is (3, -46).
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C) The vertex is an extreme value (as is any vertex). The sign of the leading coefficient tells you whether the parabola opens upward (+) or downward (-). This parabola opens upward, so the vertex is a minimum.
If the leading coefficient is positive, the y-coordinate of the vertex is a minimum. If the leading coefficient is negative, the y-coordinate of the vertex is a maximum.
Step-by-step explanation:
Answer:
Step-by-step explanation:
D: x ≥ -2. This set includes x = -2 and all numbers greater than -2.
A. the data is decreasing so sales are bad.
b.
