Answer:
4y - y^2 = 10
Step-by-step explanation:
Let x and y be the two numbers
x+y = 4
xy = 10
Taking the first equation and solving for x
x = 4-y
Substituting this into the second equation
(4-y) *y = 10
4y - y^2 = 10
A) 0+(5×2)-12+3=1
b) 0-(3×2)-1+6+7=6
c) Rosy duh ;)
Answer:
x = 
Step-by-step explanation:
Given
x - 2
=
( change mixed number to improper fraction )
x -
= 
Multiply through by 36 ( the LCM of 4 and 18 ) to clear the fractions
36x - 81 = 2 ( add 81 to both sides )
36x = 83 ( divide both sides by 36 )
x = 
The common difference is d = 4 because we add 4 to each term to get the next one.
The starting term is a1 = 3
The nth term of this arithmetic sequence is
an = a1 + d(n-1)
an = 3 + 4(n-1)
an = 3 + 4n-4
an = 4n - 1
Plug in n = 25 to find the 25th term
an = 4n - 1
a25 = 4*25 - 1
a25 = 100 - 1
a25 = 99
So we're summing the series : 3+7+11+15+...+99
We could write out all the terms and add them all up. That's a lot more work than needed though. Luckily we have a handy formula to make things a lot better
The sum of the first n terms is Sn. The formula for Sn is
Sn = n*(a1+an)/2
Plug in n = 25 to get
Sn = n*(a1+an)/2
S25 = 25*(a1+a25)/2
Then plug in a1 = 3 and a25 = 99. Then compute to simplify
S25 = 25*(a1+a25)/2
S25 = 25*(3+99)/2
S25 = 25*(102)/2
S25 = 2550/2
S25 = 1275
The final answer is 1275
I'm assuming you mean, what equals x.
Well, if 7x = 94, we know that 7 x's = 94.
Therefore, is you divide 94 by 7, you will get your answer.