Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
6(5 - 2x) + 12 = -66
Step 2: Solve for <em>x</em>
- Distribute 6: 30 - 12x + 12 = -66
- Combine like terms: 42 - 12x = -66
- Subtract 42 on both sides: -12x = -108
- Divide both sides by -12: x = 9
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
6(5 - 2(9)) + 12 = -66
6(5 - 18) + 12 = -66
6(-13) + 12 = -66
-78 + 12 = -66
-66 = -66
Slope-intercept form:
y=mx+b
m=slope
b=y-intercept
We have this line: y=9x+3; a line parallel to this line (y=9x+3) will have the same slope; therefore m would be equal to 9 (m=9).
Data:
m=9
b=-2
y=mx+b
y=9x-2
Answer: y=9x-2
Answer:
1 : 30
Step-by-step explanation:
300mm:9m
We need to change the meters to mm
1 meter is 1000 mm
so 9 m is 9000 mm
300mm:9000mm
Divide both sides by 300
300mm/300 : 9000/300
1 : 30
Answer: The graph is shifted 6 units to the right.
Step-by-step explanation:
It is important to remember that:
When 
, then the function is shifted "k" units to the right.
Knowing this and given the quadratic parent function 
and the function 
, you can observe that one of the transformations is the following:
Where:
Therefore, you can notice that the effect is:
The graph is shifted 6 units to the right.
