30 + 2w = 2 • (w - 15)
Equation at the end of step 1 :
Step 2 :
Equations which are never true :
Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation
Solve : w-15 = 0
Add 15 to both sides of the equation :
w = 15
Answer:
3/7
Step-by-step explanation:
21w - 21 = -12
21w = -12 +21
21w = 9
w = 9/21
i.e w= 3/7
Given:
Consider the given equation is

To find:
The values of x.
Solution:
We have,

Taking square root on both sides, we get


Adding 18 on both sides, we get


Now,
and 
and 
Therefore, the correct option is A.
Answer: Graph first and fourth.
Step-by-step explanation:
If a function is reflected through line y=x,, we obtained an inverse function of that function.
In first graph,
The function is reflected through line y = x,
Hence, in this graph we obtained inverse functions.
In second graph,
The function is shifted horizontally,
This is why we did not get an inverse function.
In third graph,
The function is reflected through x-axis,
This is why we did not get the inverse of the function.
In fourth graph,
The function is reflected through line y = x,
Hence, in this graph we obtained inverse functions.
Step-by-step explanation:
f(g(-2))
= f[(-2)² + 2]
= f(6)
= -0.5(6)² + 5(6)
= 12.