Answer:
P(x) = 
Step-by-step explanation:
Root multiplicity of 2 means the root is repeated 2 times. Root multiplicity of 1 means root is repeated only once.
A polynomial of degree 3 means the largest exponent of x is 3.
Here, the polynomial P(x) has root 5 with multiplicity 2 and -5 with multiplicity 1.
So, P(x) = 
Where,
is a constant.
Now, it's given that the y intercept is -87.5. Therefore, value of x at y intercept is 0.
We obtain
by plugging in -87.5 for P(x) and 0 for x.


Therefore, the polynomial P(x) is given as:

Answer: ya correct
Step-by-step explanation:
The solution to a system of (linear) equations is the point where the graphs intersect. Consider two parallel lines. By definition, two parallel lines never intersect each other, but all pairs of non-parallel lines will eventually intersect. That means they will also have a solution.
Let's consider what makes a line parallel to another line. It basically looks identical, having the same steepness (slope), but the graph is just shifted over. That is, a parallel line would have the same slope and a different y-intercept. For our equation

, or

in slope-intercept form, a parallel line will be of the form

.
That describes the form of a parallel line, which we do not want. Any other line, however, will give a solution to our system, so we merely want a line where the slope does not equal 2.
We can have any equation of the form

.
Answer:
30, 5 , 21
Step-by-step explanation:
substitute the values of x into f(x) , then
f(- 5) = (- 5)² + 5 = 25 + 5 = 30
f(0) = 0² + 5 = 0 + 5 = 5
f(4) = 4² + 5 = 16 + 5 = 21
Step-by-step explanation:
Given
f(x) = 12x + 2
f^-1(x) = ?
Now
Let y = f(x)
or y = 12x + 2
Interchanging the role of x and y
x = 12y + 2
x - 2 = 12y
y = <u>x </u><u>-</u><u> </u><u>2</u>
12
Therefore f^-1(x) = <u>x </u><u>-</u><u> </u><u>2</u>
12
Hope it will help you.