Answer:
Step-by-step explanation:
Factor using Rational Root Theorem.
This means our possible roots are
positve or negative (1,2,3,6). If we try positve 1, it is indeed a root.
This means that
is a root.
We can divide the top equation by the root (x-1). Our new equation is
Now we can factor this completely
So this equation in factored form is
Answer:
8 one-dollar bills
3 five-dollar bills
2 ten-dollar bills
Step-by-step explanation:
Let x = # of one-dollar bills, y = # of five-dollar bills, and z = # of ten-dollar bills. Total amount in the wallet is $43, so the first equation would be 1x + 5y + 10z = 43. Next, there are 4 times as many one-dollar bills as ten-dollar bills, so x = 4z. There are 13 bills in total, so x + y + z = 13
x + 5y + 10z = 43
x = 4z
x + y + z = 13
x + 5y + 10z = 43
x + 0y - 4z = 0
x + y + z = 13
5y + 14z = 43
-y - 5z = -13
5y + 14z = 43
-5y - 25z = -65
-11z = -22
z = 2
x = 4z
x = 4*2 = 8
x + y + z = 13
8 + y + 2 = 13
10 + y = 13
y = 3
Use the site called Desmos, it's a graphing calculator and should help you in all the ways you need. It isn't complex. Just put that equation in a box and it graphs it for you.
Answer:
B 3x: 51 = 3x+24: 85
Step-by-step explanation:
Since the triangles are similar
PS PQ
------- = -----------
PT PR
Substitute the values in
3x 3x+24
------- = -----------
51 85
3x: 51 = 3x+24: 85
Answer:
C) 1
F) 29
Step-by-step explanation:
all numbers less than 30 are solutions
