Answer:
B. 4 imaginary; 1 real
Step-by-step explanation:
Given the polynomial:
x^5 + 7*x^4 + 2*x^3 + 14*x^2 + x + 7
it can be reordered as follows
(x^5 + 2*x^3 + x ) + (7*x^4 + 14*x^2 + 7)
Taking greatest common factor at each parenthesis
x*(x^4 + 2*x^2 + 1) + 7*(x^4 + 2*x^2 + 1)
Taking again the greatest common factor
(x + 7)*(x^4 + 2*x^2 + 1)
Replacing x^2 = y in the second parenthesis
(x + 7)*(y^2 + 2*y + 1)
(x + 7)*(y + 1)^2
Coming back to x variable
(x + 7)*(x^2 + 1)^2
There are two options to find the roots
(x + 7) = 0
or
(x^2 + 1)^2 = 0 which is the same that (x^2 + 1) = 0
In the former case, x = -7 is the real root. In the latter, (x^2 + 1) = 0 has no real solution. Therefore, there is only 1 real root in the polynomial.
EXPLANATION
Since we have the function:
Vertical asymptotes:
Taking the denominator and comparing to zero:
The following points are undefined:
Therefore, the vertical asymptote is at x=-5
Horizontal asymptotes:
In conclusion:
The statements which are true are;
- Choice B: The baker uses 1/2 cup of sugar for every cup of water because 1/2 ÷ 1/4 = 1/2.
- Choice E: The baker uses 2 cups of water for every cup of sugar because 1/2 ÷ 1/4 = 2.
<h3>Ratios and Proportions</h3>
Since the baker uses 1/2 cup of water for every 1/4 cup of sugar.
Considering proportions; we have;
- 1 cup of water for every 1/2 cup of sugar
Or
- 2 cups of water for every cup of sugar;
This is because, 1/2 ÷ 1/4 = 2.
Read more on ratios and Proportions;
brainly.com/question/13513438
Answer:
31.43
Step-by-step explanation:
3 1/7 = 3.14285714285
3 1/7 x 10 = 31.4285714286 which is about 31.43
