Replace the x in x^2 + 5x - 1 by x+3:-
g(x) =
(x+3)^2 + 5(x+3) - 1
= x^2 + 6x + 9 + 5x + 15 - 1
= x^2 + 11x + 23
- thats g(x)
<h3>
Answer: Choice C, 2/3</h3>
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Work Shown:
A = # of candies that are not green
A = (# of red)+(# of yellow)+(# of blue)
A = 25+15+20
A = 60
B = # of candies total
B = (# of red)+(# of green)+(# of yellow)+(# of blue)
B = 25+30+15+20
B = 90
P(not green) = probability of selecting candy that is not green
P(not green) = (# of candies not green)/(# of candies total)
P(not green) = A/B
P(not green) = 60/90
P(not green) = (2*30)/(3*30)
P(not green) = 2/3
Answer:
It'll take 7.5967 years to have $300 on that account.
Step-by-step explanation:
This problem involves a compounded interest compounded continuously, so in order to solve it we must use the formula for those cases as shown below:
M = C*e^(i*t)
Where M is the final value, C is the initial capital, i is the interest rate and t is the total time. We have:
300 = 250*e^(0.024*t)
e^(0.024*t) = 300/250
e^(0.024*t) = 1.2
0.024*t = ln(1.2)
t = ln(1.2)/0.024 = 7.5967
It'll take 7.5967 years to have $300 on that account.
Answer:
216
Step-by-step explanation:
First find the base area
0.25 * √[(5 + 6 + 5) * (-5 + 6 + 5) * (5 - 6 + 5) * (5 + 6 - 5)] = 12
Equation:
12 * (5 + 6 + 5) + (2 * 12) = 216
Answer:
62.5%
Step-by-step explanation:
