If
is a factor of a polynomial
then,
is its root.
So
is a root of 

Answer:

Step-by-step explanation:

<u>Event A - spinning violet or yellow</u>
Assuming that the spinner has 4 different colors (red, orange, violet and yellow) - see attachment.

<u>Event B - rolling an even number</u>
Assuming the number cube has 6 sides numbered 1, 2, 3, 4, 5 and 6. Therefore, the even numbers are 2, 4 and 6.

Events A and B are <u>independent events</u> as the outcome of one event does not affect the outcome of the other event.
For independent events A and B:

To find P(A and B), substitute the found values of P(A) and P(B):

Answer:
T= (9)($.25) + $6.75
Step-by-step explanation:
total cost = 9($.25) + $6.75
Answer:
118
Step by Step Explanation:
Since this is the substitution property, you will basically be replacing things.
So as stated in the first step, angle GFI is equal to 118, and angle GFE+EFL equals angle GFI.
So using substitution, GFI is 118 degrees.
Answer:
y = 2
y = 6
Step-by-step explanation:
The first thing to do is to find the turning point of the function. For this, derive and equal zero to expression
= 



x = 0 and x = -2
We have 2 inflection points.
Then we have 2 tangent lines:
At the point (0, 2)
Since it is a point of inflection, then the slope of this line is 0. Therefore the tangent line is:
y = 2.
At the point (-2, 6).
The slope of this line is 0.
The equation of the tangent line to the function is:
y = 6