See https://web2.0calc.com/questions/i-m-confused_17.
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
The answer would be 10^10 or 10000000000
Answer :
The value of number of hours overtime per week will he needed to achieve his earning goal = 5 hours
Step-by-step explanation:
Payment for first 40 hours = $ 32 per hour
Payment over 40 hours = $ 48 per hour
Eli’s goal is to earn = $ 1520 per week ------- (1)
Total payment for first 40 hours = 32 × 40 = $ 1280 ------ (2)
Suppose person worked hours in overtime, then
The total payment for hours = 48 × = $ 48 ------------ (3)
Total earnings of the person in a week ⇒ $ 1280 + $ 48 = $ 1520
⇒ 1280 + 48 = 1520
⇒ 48 = 1520 - 1280
⇒ 48 = 240
⇒ = 5 hours
This is the value of number of hours overtime per week will he needed to achieve his earning goal.