Answer:
B.
Step-by-step explanation:
f(x) has two complex roots and one real root.
Answer:

Step-by-step explanation:
Hello,
As the polynomial has only real coefficients, it means that 3-i is a zero too, because we apply the Conjugate Zeros Theorem.
It means that we can write the expression as below, k being a real number that we will have to identify.

And for x = 0, y = -90 so we can write
-90=k*3*10, meaning that k=-3
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
To solve this problem you must apply the proccedure below:
1. You have that one canned juice drink is 20% orange juice and another is 5% orange juice.
2. You must make a system of equation, as below:
x+y=15 (i)
0.20x+0.05y=0.15x15 (ii)
3. Now, you must find the value of x (the liters of the first canned needed) and y (the liters of the other canned needed):
x+y=15 (i)
x=15-y
0.20x+0.05y=0.15x15 (ii)
0.20(15-y)+0.05y=2.25
y=5 liters
x+y=15 (i)
x=15-5
x=10 liters
4. Therefore, the asnwer is:
10 liters of the canned juice drink that is 20% orange juice and 5 liters of the other canned juice drink that is 5% orange juice.
Recall that the vertex form of a quadratic function (or parabolic function) is equal to

Now, given that we have f(x) = x² + 14x + 40, to express f into its vertex form, we must first fill in the expression to form a perfect square.
One concept that we must remember when completing the square is that
(a + b)² = a² + 2ab + b²
So, to complete the square for (x² + 14x + ____), we have 2ab = 14 where a = 1. Thus, b = 14/2 = 7. Hence, the last term of the perfect square must equal to 7² = 49.
So, going back to the function, we have




Thus, we have derived the vertex form of the function.
Answer: f(x) = (x + 7)² - 9
Answer:
14% and 1/7
Step-by-step explanation: