There are two zeros: -3 and -1. This is because when you factor f(x)<span>= x^2 + 4x + 3, it becomes f(x) = (x + 3)(x + 1). In order to find the zeros, set f(x) to 0, and then solve for x for both (x + 3) and (x + 1). You can check your answer by substituting either -3 or -1 for x in the equation 0 = </span>x^2 + 4x + 3.
3 nickels and 1 quarter add to $0.40.
The person has 11 times that amount, so has 11 quarters and 33 nickels.
(8x - 12) + 64 + 68 = 180
(A straight line equals to 180)
8x - 12 + 132 = 180
Combine liked terms
8x + 120 = 180
-120 on both sides
8x = 40
/8 on both sides
x = 5
(8x - 12)
8(5) - 12
40 - 12
28
(2x + 18)
2(5) + 18
10 + 18
28
Answer:
x = 5
Answer: $300 per month (assumed)
Step-by-step explanation:
As figures are lacking in this question, I will use assumed figures and you can use it as a reference.
Assume Penelope had been tutoring for 60 hours a month and her hourly rate was $10 originally.
If she reduces this time to half, the amount of hours she begins to tutor is:
= 60 hours / 2
= 30 hours
At a rate of $10 an hour, her monthly income becomes:
= 10 * 30
= $300 per month
