Answer:
The number of roots for equation
is 4 .
Step-by-step explanation:
Here, the given function polynomial is :

The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots (counting multiplicity).
Now here, the degree if the polynomial is 4 (highest power of variable x).
So, according to the Fundamental Theorem, the given polynomial can have AT MOST 4 roots, counting Multiplicity.
Hence, the number of roots for equation
is 4 .
ANSWER

EXPLANATION
The given function is:

Factor -3 for the first 2 terms.

We add and subtract the square of the coefficient of x.

Factor the perfect square trinomial.

The vertex form is:

Answer:
c number option is the correct answer
Answer:

Step-by-step explanation:
Here we are given two coordinates through which our lines passes through. Now we are going to use the two point form to find the equation of the line.
The two point form is given as

Here we are given two coordinates . Thus replacing them in the formula and simplifying it will give us the equation of the line.




adding x and 6 on both sides we get

Hence this is our equation of the line passing through (5,6) & (4,7)
9514 1404 393
Answer:
64/109 ≈ 0.5872
Step-by-step explanation:
41 + 23 = 64 of the events have outcome E.
An additional 35 + 10 = 45 do not.
The probability of an outcome of E is 64 out of a total of 64+45 = 109 events.
P(E) = 64/109 ≈ 0.5872