Answer:
z=-21
Step-by-step explanation: (9-3)/2=(6+z)/5
We move all terms to the left:
(9-3)/2-((6+z)/5)=0
We add all the numbers together, and all the variables
-((z+6)/5)+6/2=0
We add all the numbers together, and all the variables
-((z+6)/5)+3=0
We multiply all the terms by the denominator
-((z+6)+3*5)=0
We calculate terms in parentheses: -((z+6)+3*5), so:
(z+6)+3*5
We add all the numbers together, and all the variables
(z+6)+15
We get rid of parentheses
z+6+15
We add all the numbers together, and all the variables
z+21
Back to the equation:
-(z+21)
We get rid of parentheses
-z-21=0
We add all the numbers together, and all the variables
-1z-21=0
We move all terms containing z to the left, all other terms to the right
-z=21
z=21/-1
z=-21
Part B: I think the relation that has the greater value when x=6 is f(x) = 7x - 15 because:
7(6) - 15 = 27 which is greater than the output of 14.
Part C: the value of x would be 3 because:
f(x) = 7x - 15
6 = 7x - 15
+ 15 +15
21 = 7x
3 = x
Sorry if any of this is wrong.
Solve the inequality c - 12 > -16.
Plot the solution on the number line.
