Answer:
(x-4)(x+5) or x^2+x-20
Step-by-step explanation:
If a root of the function is 4, (meaning that when y=0, x=4) it can be rewritten as x-4.
The same goes for if a root is -5. it will simplify to x+5.
These are called factors of a quadratic equation.
Put together, they look like (x-4)(x+5). Using the FOIL method, that can be simplified to x^2+x-20
Answer:
No, the inverse function does not pass the vertical line test.
Step-by-step explanation:
Remember that
. To find the inverse of our function we are going to invert x and y and solve for y:






Now we can graph our function an perform the vertical line test (check the attached picture).
Remember that the vertical line test is a visual way of determine if a relation is a function. A relation is a function if and only if it only has one value of y for each value of x. In other words, a relation is a function if a vertical line only intercepts the graph of the function once.
As you can see in the picture, the vertical line x = 15 intercepts the function twice, so the inverse function h(x) is not a function.
We can conclude that the correct answer is: No, the inverse function does not pass the vertical line test.
Answer:
Step-by-step explanation:
Answer:
radius = 5.75 units
circumference = 36.11 units
Area = 103.81625 square units
Step-by-step explanation:
Radius = 11.5 / 2 = 5.75
Circumference = 11.5 x 3.14 = 36.11
Area = 5.75 x 5.75 x 3.14 =
33.0625 x 3.14 =
103.81625 units square
This is all if pi = 3.14
Hope that helps!