Answer:
Wouldn't the third term be 21?
Answer: second option y = 2(x + 7/2)^2 + 1/2
Explanation:
1) given:
y = (x + 3)^2 + (x + 4)^2
2) expand the binomials:
y = x^2 + 6x + 9 + x^2 + 8x + 16
3) add like terms:
y = 2x^2 + 14x + 25
4) take common factor 2 of the first two terms:
y = 2 (x^2 + 7x) + 25
5) complete squares for x^2 + 7x
x^2 + 7x = [x +(7/2)x ]^2 - 49/4
6) substitue x^2 + 7x = (x + 7/2)^2 - 49/4 in the equation for y:
y = 2 [ (x + 7/2)^2 - 49/4] + 25
7) take -49/4 out of the square brackets.
y = 2 (x + 7/2)^2 - 49/2 + 25
8) add like terms:
y = 2(x + 7/2)^2 + 1/2
And that is the vertex for of the given expression.
For answers, please refer to the picture attached
Out of 135 adults, 85 were employed
85/135 is your fraction form
85/135 = 0.629 (decimal form)
0.629 (move the decimal point to the right two place values) = 62.9% (percent form)
hope this helps
<span>$3375
Since each car requires 1 driver and there's 135 cars, that means that there's 135 drivers. And since each driver paid $25, just multiply the number of drivers by $25 to get the total amount of money the drivers paid in all.
135 * $25 = $3375.</span>
