Answer:
the area product is simply (3x+5).(x+7 which can multiply if desired to obtain highlight3x/2+ 26x + 35.
You can use Completion of the Square on the trinomial product to put this trinomial into standard form. You would want this form to be like (x-h)2 +k.
Answer:
Option d. $22154 is the right answer.
Step-by-step explanation:
To solve this question we will use the formula 
In this formula A = amount after time t
P = principal amount
r = rate of interest
n = number of times interest gets compounded in a year
t = time
Now Lou has principal amount on the starting of first year = 10000+5000 = $15000
So for one year 
= $15900
After one year Lou added $5000 in this amount and we have to calculate the final amount he got
Now principal amount becomes $15900 + $ 5000 = $20900
Then putting the values again in the formula
So the final amount will be $22154.
Answer:
x = -10
y = 13
Step-by-step explanation:
-3x + 2y = 56
-5x - 2y = 24
__________ +
-8x____ = 80
x______= 80/-8
______x = -10
-3x + 2y = 56
-3(-10) + 2y = 56
30 + 2y = 56
2y = 56 - 30
2y = 26
y = 26/2
y = 13
<h3>
Answer: B) 47%</h3>
Work Shown:
A = event that the person has math degree
B = event that the person has a computer science degree
P(A) = 0.23, since 23% of the people have a math degree
P(B) = 0.31, similar reasoning as above, just different number
P(A and B) = 0.07
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.23 + 0.31 - 0.07
P(A or B) = 0.47
The decimal value 0.47 then converts to 47% after moving the decimal 2 spots to the right.
There's a 47% chance that we pick someone who has a math degree or a computer science degree (or both).
It might help to set up a venn diagram to see why that formula above works.
The mean is 36 and the standard deviation is 5.02.
The mean is given by
μ = np = 120*0.3 = 36.
The standard deviation is given by
σ = √(n*p*(1-p)) = √(120*0.3*0.7) = √25.2 = 5.02.
