Alarge suburb currently uses square signs to notify drivers of nearby bike lanes. in order to increase the visibility of these signs, the mayor wants to increase their dimensions. the new signs will be 12 inches longer and 8 inches taller than the current signs.

suppose x represents the side measure of the current signs, in inches. determine the equation that represents the area, y, in square inches, of the new signs.

a.
y = x2 - 4x - 96
b.
y = x2 + 4x - 96
c.
y = x2 - 20x + 96
d.
y = x2 + 20x + 96

D: y = x² + 20x + 96

Step-by-step explanation:

y = (x+12) (x+8)

y = x² + 20x + 96

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right