Factor the following:
3 x^2 + 27 x + 60
Factor 3 out of 3 x^2 + 27 x + 60:
3 (x^2 + 9 x + 20)
The factors of 20 that sum to 9 are 5 and 4. So, x^2 + 9 x + 20 = (x + 5) (x + 4):
Answer: 3 (x + 5) (x + 4)
Answer:
C
Step-by-step explanation:
If you fill in x=0, you are left with the y intercept. In the picture you can see it must be larger than y=10. This invalidates answer A and D.
The x-coordinate top of the parabola ax²+bx+c=0 is given by y = -b/2a, so immediately we can see -b has to be positive. This leads you to answer C because -9x implies b=-9, and --9 is positive.
Answer:
Step-by-step explanation:
Function y = - 1 is exist for x - 7 ≥ 0 ⇒ x ≥ 7
<em>The domain is: x ≥ </em><em>7</em>
If x = 7 , then = - 1
<em>The range is: y ≥ </em><em>- 1</em>
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Answer:
Miguel:
b = 2000 - 250m
Bartholomew:
b = 1500 - 150m
When m = 5
Step-by-step explanation:
Let
m = The number of months
b = balance on the credit card account in dollars.
Miguel owes $2000 and makes a monthly payments, reducing his debt by $250 per month.
Miguel:
b = 2000 - 250m
Bartholomew owes $1500 and makes monthly payments, reducing his debt by $150 per month
Bartholomew:
b = 1500 - 150m
When will Miguel and Bartholomew owe the same amount of money?
Miguel balance = Bartholomew balance
2000 - 250m = 1500 - 150m
2000 - 1500 = -150m + 250m
500 = 100m
m = 500/100
m = 5 months