How many ways can five distinct paperback books and one hardcover book be arranged on a shelf if the hardcover must be the right
2 answers:
You might be interested in
We can use the substitution method to solve this problem.
The second equation is
, so we can plug in 2x for 'y' in the first equation:
Multiply:
Combine like terms:
This is the x-value of our solution, we can plug this into any of the two equations to find the y-value:
Multiply:
This is the y-value of our solution. So our entire solution is (3, 6).
The second equation is
Multiply:
Combine like terms:
This is the x-value of our solution, we can plug this into any of the two equations to find the y-value:
Multiply:
This is the y-value of our solution. So our entire solution is (3, 6).
Answer:
1. The minus before the |x| reflects the function in the x-axis. So it will still be V-shaped but instead but refected in the x-axis.
2. The +4 moves the function vertically 4 units upwards.
Step-by-step explanation:
We are given the function f(x) = - |x| +4. We know that the function f(x) = |x| only has positive values, so when x>0 the function is a straight line as in the function f(x) = x. When x<0 the function is also positive, as in the function f(x) = -x. So the graph is V-shaped with the vertex at the origin.
The f(x) = - |x| +4 has two important caracteristics:
1. The minus before the |x| reflects the function in the x-axis. So it will still be V-shaped but instead but refected in the x-axis.
2. The +4 moves the function vertically 4 units upwards.
So the graph of f(x) = - |x| +4 will be V-shaped, reflected in the x-axis and moved 4 units upwards.
Attached you can find the graph
