Let's do this step by step:
Subtract both sides by 7
-2|x-4|= -10
Divide each side by -2
|x-4|= 5
Now since this is an absolute value equation, you will have two answers. This means you make the equation both positive and negative.
X-4= 5and -(x-4)= 5
Solve for x for both
X-4= 5: add four on both sides
X= 9
-x+ 4= 5: subtract 4 and divide by -1
X= -1
So your answer is: X= -1 , 9
The equation g(x) in vertex form of a quadratic function for the transformations whose graph is a translation 4 units left and 1 unit up of the graph of f(x) is (x-4)² + 1
Given a quadratic function for the transformations given the function f(x) = x²
If the function g(x) of the graph is translated 4 units to the left, the equation becomes (x-4)² (note that we subtracted 4 from the x value
- Translating the graph 1 unit up will give the final function g(x) as (x-4)² + 1 (We added 1 since it is an upward translation.)
Hence the equation g(x) in vertex form of a quadratic function for the transformations whose graph is a translation 4 units left and 1 unit up of the graph of f(x) is (x-4)² + 1
Learn more here: brainly.com/question/15381183
Answer:
m = 5,520.619
Step-by-step explanation:
The given equation is :
y=5,520.619x-1,091.393 ....(1)
The general form of equation is given by :
y = mx +c ...(2)
Where
m is slope of line
c is y-intercept
Comparing equation (1) and (2), we get :
Slope, m = 5,520.619
Hence, the slope of the given line is 5,520.619.
10% = 5
80% = 40
2% = 1
82% = 41
41
Answer:
positive 3
Step-by-step explanation:
-8 + 11 is 3. the other way you can think of it is by subtracting 8 from 11.
