Answer:
y = (2x + 3)(2x + 3) = (2x + 3)²
Step-by-step explanation:
We are given a quadratic function and we have to write it in factored form.
y = 9 + 12x + 4x²
y = 4x² + 12x + 9
We can break the mid-term in such a way that when they are multiplied, the factors give a product of 36x² and when added, they give a result of 12x, as show below:
y = 4x² + 6x + 6x + 9
Taking 2x common from the first two variables and 3 from the second two
y = 2x(2x + 3) + 3(2x + 3)
Taking 2x+3 common
y = (2x + 3)(2x + 3) = (2x + 3)²
Answer:
c)
subtract 5 times the second equation from 2 times the first equation
Step-by-step explanation:
subtract 5 times the second equation from 2 times the first equation
This will make the coefficient of the y variable 10
for both equations
10y - 10y = 0
leaving only x
That one is an absolute I can’t see the other ones
Answer:
Unit rate = 1.25 inches per yard
Length of fence B on the blueprint = 5 inches
Step-by-step explanation:
We are told that Fence A is 1 1/5 yards long but is 1 1/2 inches long on the blueprint.
This means it's 1.2 yards long but 1.5 inches on the blueprint.
Thus, the unit rate for this blueprint will be; 1.5/1.2 = 1.25 inches per yard
fence B is 4 yards long.
Thus, the corresponding blueprint measurement = 4yards × 1.25 inches/yard = 5 inches.