Answer:
5 inches
Step-by-step explanation:
(5 + x)(10 + x) = 6x²
x² + 15x + 50 = 6x²
5x² - 15x + 50 = 0
x² - 3x + 10 = 0
(x - 5)(x + 3) = 0
x = 5, x = -3
We want x to be positive, so x = 5.
Thus, each dimension must be increased by 5 inches.
Answer:
Step-by-step explanation:
1) we have to solve the associated equation
-16x^2 + 24x + 16 = 0
-2x^2 + 3x + 2 = 0
2x^2 -3x -2 = 0
Δ = 9 + 16 = 25
x1 = (3 + 5)/4= 2
x2 = (3 - 5)/4 =-1/2
the x intercepts are -1/2 and 2
2) a maximum because the parabola opens downwards (the first term is negative)
V(x) = -b/2a = -24/-32 = 3/4
V(y) = -16(9/16) + 24(3/4) + 16 = -9+18 + 16 = 25
V(3/4,25)
3) for draw a parabola is are necessary the coordinates of the vertex and of two points: one that lies to left of the vertex, and one that lies on the right to the vertex.
So we already have the necessary informations to draw it.
It is not reasonable to say that there are 250 blueberries in the carton because the average weight of the blueberry in the carton does not make sense. The average weight of the blueberry in the carton is 0.4 gram (=100/250) and the normal average weight of blueberry is 0.66 to 1.5 gram<span>. This gross calculation has not yet included the carton's mass.</span>
Answer:
133,371
Step-by-step explanation:
b times h divided by 2
522 x 511 x 1/2 = 133,371
