Answer:




Step-by-step explanation:
Given:


---
1st problem:


Distribute:

Combine like terms:

---
2nd problem:



Distribute -3 to first factor:
Use foil to simplify:

Replace
with -1:

Combine like terms:

---
3rd problem:


Distribute 2 to the second factor:


Use foil to simplify:

Replace
with -1:

Combine like terms:

----
4th problem:

Distribute:

Combine like terms:

Simplify:

8c -c= 7c
7c+6=48
7c=42
c=6
CHECK:
8(6)-(6)+6=48
48-6=42
42+6=48
48=48
Answer:
C) 3,-2,-7,-12
Step-by-step explanation:
A sequence is defined recursively using the formula f(n+1)=f(n)-5. Therefore, 3,-2,-7,-12 is the sequence that could be generated using this formula.
Line y=mx+b has point (0,b).
If you've got poind (0,4) - you can write, that b=4.
So this is line y=mx+4
Now slope. You've got point (1,0), so for x=1, y=0. Substitute:
m * 1 + 4 = 0
m+4 = 0
m=-4
So equation of this line is: y=-4x+4
Answer:
z = 8.2
Step-by-step explanation:
6.7z = 5.2z + 12.3
combine like terms by subtracting 5.2z from both sides
1.5z = 12.3
divide by 1.5
z = 8.2