X2-7x+12=0
So (3*4=12 and3+4=7 / the bigger number takes the 7 sign (-/+) )
So (x-4=0)(x-3=0)
X=4. X=3
Note when the last number sign is + they both take the bigger number sign and when it’s - they are different
The favorable outcomes are the outcomes we want (aka the outcomes we favor or like). Think of it as a gambling game. If the goal is to roll an odd number, then we need to roll a 1, a 3 or a 5. We don't want 2, 4 or 6 as those are even.
The answer is choice A) 1, 3, 5
The common difference is 12
Further explanation:
It is given that the infinite sequence is an arithmetic sequence
The common difference is the difference between consecutive terms of an arithmetic sequence.
Here,
The common difference is denoted by d.
Here,
The common difference is same for all proceeding terms.
So,
d = 12
Keywords: Infinite arithmetic sequence, Common difference
Learn more about arithmetic sequence at:
#LearnwithBrainly
Answer:
x = 12
y = 22
Total amount = $2596
Step-by-step explanation:
First let's find the value of each deposit until the 10th in relation to x and y:
1st: x
2nd: y
3rd: x + y
4th: x + 2y
5th: 2x + 3y
6th: 3x + 5y
7th: 5x + 8y
8th: 8x + 13y
9th: 13x + 21y
10th: 21x + 34y
Now, we can write a system with two equations and two variables:
2x + 3y = 90
21x + 34y = 1000
From the first equation: x = (90 - 3y)/2
Using this value of x in the second equation, we have:
21*(90 - 3y)/2 + 34y = 1000
945 - 31.5y + 34y = 1000
2.5y = 55
y = 22
Now we can find x:
x = (90 - 3*22)/2 = 12
Now, summing all the deposits, we have a total of 55x + 88y, which is equal to 55*12 + 88*22 = $2596
