Answer:
(x+9)(x+4)
Step-by-step explanation:
We wish to factor x²+13x+36 into the form of (x+p)(x+q) where p+q=13 and pq=36.
Factors of 36: 1, 2, 3, 4, 6, 9, 12. 18, 36
Notice that 9+4=13 as 9*4=36, which satisfies the values of p and q
This means x²+13x+36 can be factored into (x+9)(x+4)
Answer:
nickels = 12
quarters = 9
Step-by-step explanation:
Let number of quarters be "q", and
number of nickels be "n"
Nickels are worth $0.05 and Quarters are worth $0.25
Since all of them are worth 2.85, we can write:
0.25q + 0.05n = 2.85
Also, we know, there are 3 more nickels than quarters, so we can write:
n = 3 + q
Now, we can substitute equation 2 into equation 1 to get:

Now, we solve for q:

There are 9 quarters.
We know n = 3 + q
So,
n = 3 + 9
n = 12
There are 12 nickels
27 because 4*4=16. 65+16=81 and 81 divided by 3=27
I guess you want to find the values of x & y. If so:
7x+2y=24
8x+2y=30
1) multiply the 1st equation by (-1)==> -7x-2y=-24
2) Now add -7x-2y=-24 to 8x+2y=30 ==> x + 0y = 6 ==> x = 6
3) replace x by 6 in any of te two equation & you will find y= - 9
The answer to the questing is 36