Answer:
z = -3
Step-by-step explanation:
Simplifying
3z + -3 = 2z + -6
Reorder the terms:
-3 + 3z = 2z + -6
Reorder the terms:
-3 + 3z = -6 + 2z
Solving
-3 + 3z = -6 + 2z
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-2z' to each side of the equation.
-3 + 3z + -2z = -6 + 2z + -2z
Combine like terms: 3z + -2z = 1z
-3 + 1z = -6 + 2z + -2z
Combine like terms: 2z + -2z = 0
-3 + 1z = -6 + 0
-3 + 1z = -6
Add '3' to each side of the equation.
-3 + 3 + 1z = -6 + 3
Combine like terms: -3 + 3 = 0
0 + 1z = -6 + 3
1z = -6 + 3
Combine like terms: -6 + 3 = -3
1z = -3
Divide each side by '1'.
z = -3
Simplifying
z = -3
Answer:
x = - 4
Step-by-step explanation:
Given
5x - 11 = 7x - 3 ( subtract 7x from both sides )
- 2x - 11 = - 3 ( add 11 to both sides )
- 2x = 8 ( divide both sides by - 2 )
x = - 4
The graph when translated 5 units up is g(x) = 3x + 5.
Consider a parent function f(x),
When translating a function up or down by a value (say b), you let g(x) = f(x) + b
If b is positive your graph is translated up, if b is negative your graph is translated down.
When translating a function to the right or left by a value (say a) you let g(x) = f( x + a).
If a is positive your graph is translated to the left, if a is negative your graph is translated to the right.
Therefore, the function g(x) when the graph of the function f(c) = 3x is translated 5 units upwards will be:
g(x) = f(x) + 5
g(x) = 3x + 5
The function g(x) when the graph of f(x) is translated 5 units up is g(x) = 3x + 5.
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The product of a number and a sum.