Answer:
The total number of ways are 168.
Step-by-step explanation:
Consider the provided information.
There are 7 junior and 3 senior coders in her group.
The first project can be written by any of the coders. The second project must be written by a senior person and the third project must be written by a junior person.
For second project we have 3 choices and for third project we have 7 choices.
Now there are 2 possible case:
Case I: If first and second coder is senior, then the total number of ways are:
Case II: If first and third coder is junior, then the total number of ways are:
Hence, the total number of ways are: 42+126=168
Answer:
Step-by-step explanation:
Y=-2x+2.....(1)
Y=-2x-2.....(2)
Subtracting (1) from (2)
Y - Y = -2x - (-2x) -2 - 2
O = -2x + 2x - 4
O = 0 - 4
Hence it as no solution the the two variables tend to zero
Answer:
<h2>C. 9x³ − 11x² − 7x </h2>
Step-by-step explanation:
We can build a system of two linear equations with two unknowns with the info provided in the problem, one with Kelsey info and one with Mitch info like so:
Lets call p the amount on peak minutes and n the amount of non-peak minutes:
45p + 50n = 27.75
70p + 30n = 36
lets reduce the equations dividing the first by 5:
9p + 10n = 5.55
<span>70p + 30n = 36
</span>now, to eliminate n, lets multiply the first equation by -3 and add the two equations:
-27p - 30n = -16.65
<span>70p + 30n = 36
</span>----------------------------
43p + 0 = 19.35
p = 19.35<span>/43
p = 0.45
therefore the peak rate is $0.45 per minute
lets substitute in one of the original equations this result:
</span><span>45p + 50n = 27.75
</span>45(0.45) + 50n = 27.75
20.25 <span>+ 50n = 27.75
50n = 27.75 - 20.25
50n = 7.5
n = 7.5/50
n = 0.15
therefore the non-peak rate per minute is $0.15</span>
Answer:
y = 1/3a
Step-by-step explanation:
y = ka
1 = 3k
k = 1/3
Confirm constant: (4-1)/(12-3) = 3/9 = 1/3
1 = 3(1/3) + b
1 = 1 + b
b = 0
y = 1/3x or 1/3a
