Answer:
a1 = 39, a2 = 41, a3 = 43
The pair with the greatest sum is a2 + a3 = 41 + 43 = 84
Step-by-step explanation:
Let the first integer be a1 = a.
Let the second odd integer be a2 = a + 2
Let the third odd integer be a3 = (a + 2) + 2 = a + 4
The sum of three consecutive odd integers is 123.
123 = a1 + a2 + a3
123 = a + (a + 2) + (a + 4)
123 = 3a + 6
117 = 3a
a = 39
a1 = a = 39
a2 = a + 2 = 39 + 2 = 41
a3 = a + 4 = 39 + 4 = 43
The pair with the greatest sum is a2 + a3 = 41 + 43 = 84
For
(c+d)(ex+f)
the expanded form is
dex^2+dex+cfx+df
(ce)x^2+(de+cf)x+(df)
ax^2+bx+c
the value of a is ce
the value of b is de+cf
the value of c is df
so
(-2x+3)(x+8)
(-2x+3)(1x+8)
b is 3*1+-2*8=3-16=-13
answer is -13
so pick 13 because we have -B, so B=13
Answer: b. $3,374.65
Step-by-step explanation:
The exponential equation of growth (continuously) is given by :-
, where A is the initial amount, r is the rate of growth ( in decimal) and x is the time period.
Given : You invest $2,500 in an account that grows 5% each year.
i.e. A= $2,500 and r= 5%=0.05
Then, the equation model this situation will be :-

Now, At x= 6

Hence, the investment amount after 6 years will be $3,374.65.
Answer:
B. 
Step-by-step explanation:
Let p be number of points Michael needs to score in 2nd game to catch up.
We have been given that Janet scored 200 and 400 points in the first 2 rounds of a computer game. So the total points scored by Janet in two games will be:
points.
We are also told that Michael had scored 250 points in the first round and he want to get the same total score as Janet.
So we can find the number of points Michael needs to score to catch up Janet by subtracting the number of points scored by Michael in 1st game from total number of points scored by Janet in two games. We can represent this information in an equation as:

Therefore, the equation
will help Michael to find the number of points he need to catch up Janet and option B is the correct choice.