Answer:
6 roots
Step-by-step explanation:
we know that
The number of roots is determined by the degree of the polynomial. They may be real or complex.
In this problem we have

The degree refers to the highest exponent of the polynomial
Since this is a 6th degree polynomial, it will have 6 roots
Identify the improper fraction. The improper fraction will have a higher number on top than on the bottom. For example, 7/4.Divide the top number, or numerator, by the bottom number, the denominator, to determine how many times the denominator fits into the numerator. In the 7/4 example, the denominator fits in one time, leaving three left over.Write the amount of times the denominator fits into the numerator as a whole number. In the 7/4 example, the answer is "1."Display the leftover number as a fraction on the right side of the whole number. In the 7/4 example, the answer is "3/4," since 7 divided by 4 equals 1 with a remainder of 3. The mixed number should look like this: "1 3/4."
39 divided by 4 equals 9 batches with 3/12 raisins left over
The two intersection points are (-2.79, -0.58) and (0.79, 6.58).
<h3>
How to find the points of intersection?</h3>
Here we want to solve the system of equations:
y = 2x + 5
x² + y² = 36
To solve this, we need to replace the first equation into the second one:
x² + (2x + 5)² = 36
Now we can solve this for x:
x² + 4x² + 10x + 25 = 36
5x² + 10x - 11 = 0
This is a quadratic equation, to solve it we use the general formula:

So we have two solutions for x:
x = (-10 - 17.9)/10 = -2.79
x = (-10 + 17.9)/10 = 0.79
To get the y-values of the solutions, we evaluate the linear equation in these values of x:
y = 2*(-2.79) + 5 = -0.58
y = 2*( 0.79) + 5 = 6.58
Then the two intersection points are (-2.79, -0.58) and (0.79, 6.58).
If you want to learn more about intersection points:
brainly.com/question/17206319
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Answer:
option B
Step-by-step explanation:
Rule:output=input -2
LEts analyze the table
we use the input and apply the rule to get the output
LEts subtract 2 from input to get the output
Input Rule (input -2 ) Output
-3 -3-2 -5
-7 -7-2 -9
6 6-2 4
Option B matches with our table