Given:
The polynomial is:

To find:
Whether
is a zero of the given polynomial or not.
Solution:
If
is a zero of a polynomial, then
.
We have,

Putting
in the given polynomial.



Since
, therefore
is not a zero of the given polynomial.
One number (a) exceeds another number (b) by 11 so
a = b+11
a + b = 77
Substitute the equation for a into the second equation
(b+11) + b = 77
multiply each side by 1 to remove parentheses
b + 11 + b = 77
Combine like terms
2b + 11 = 77
Isolate the variable
2b = 77-11
Simplify
2b = 66
Divide by 2
b = 33
Now substitute b back into the initial equation for a
a = (33) + 11
a = 44
Check your work by substituting both values into the second equation
44 + 33 = 77
This is true, so 44 and 33 are solutions
The domain of a function is the x and the range of a function is the y.
When a question asks you to find the domain of a function or the range of a given function, you have to find all the possible x values if domain and all the possible y values if range.
Answer: D
Step-by-step explanation: crosses the y axis at -3 and increases by 1
Answer:
10 millimeters
Step-by-step explanation:
Don't listen to the other answerer who was trolling, I will actually help you. To find how long his beard was when he fell asleep, we need to find the y-intercept. The y-intercept marks how long his beard was right when he fell asleep. From looking at the graph, we can see that the y-intercept is 10. This means his beard was 10 millimeters long when he fell asleep. I hope this helps!