Answer:
g(x) = x²
The graph of g(x) is the same with the graph of f(x)
Step-by-step explanation:
* Lets explain how to solve the problem
- If the function f(x) reflected across the x-axis, then the new
function g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new
function g(x) = f(-x)
* Lets solve the problem
∵ The parent function f(x) = x² is represent by upward parabola
with vertex (0 , 0) (red graph in the attached picture)
∵ f(x) is reflected across the y-axis
- As the rule above reflection across the y-axis change the sign of x
∴ g(x) = f(-x)
∵ f(x) = x²
∴ g(x) = (-x)²
- Remember (-ve)^even number = (+ve)
∴ (-x)² = x²
∴ g(x) = x²
- The function g(x) is represent by upward parabola with vertex
(0 , 0) (black graph in the attached picture)
∴ The graph of g(x) is the same with the graph of f(x)
- The red graph and the black graph are coincide
5 + t = 23
t = 23 - 5 = 18
Answer:
you would need to give the figure
Let x represent the smaller angle.
Let y represent the larger angle.
The problem states that the larger angle measures five degrees more than four times the measure of the smaller angle.
With this given information, we can create the following equation.
Also, they a supplementary, meaning that they add up to 180. We can create another equation.
Since we have two linear equations and we want to find the solution, we have a system of linear equations. Let's solve this system by using the substitution method.
Substitute
into
After substituting, you get
Now, combine the x's
Subtract both sides by 5
Divide both sides by 5.
Now, we can solve for y using the equation
since we know the value of x.
Subtract both sides by 35.
The smaller angle has a measure of 35 degrees and the larger one has a measure of 145 degrees. Have an awesome day! :)
Answer:
50%
Step-by-step explanation: