We can find roots by setting f(x) = 0 --> x^4 - x^3 - 13x^2 + x + 12 = 0.
Factoring f(x) to make things easier for us gives us (x - 1)(x + 1)(x - 4)(x + 3), which, equal to 0, gives us the ability to set each set of parentheses = 0.
x - 1 = 0 gives us x = 1.
x + 1 = 0 --> x = -1.
x - 4 = 0 --> x = 4.
x + 3 = 0 --> x = -3.
our roots are x = 1, -1, 4, and -3.
Answer:
6
Step-by-step explanation:
Your function is split into 4 parts.
We want to use the piece that includes x=6.
This only included in the inequality that says x is greater than or equal to 5. Since that is, we use the expression that corresponds to that to find f(6).
f(6)=2(6)-6
f(6)=12-6
f(6)=6
Answer:
The number of single-shot espressos sold by the cafe was 49.
Step-by-step explanation:
It is provided that Addison's Cafe offers two kinds of espresso: single-shot and double-shot.
Total number of espressos sold by the cafe yesterday afternoon was,
<em>N</em> = 70
The proportion of single-shot espresso sold was, <em>p</em> = 0.70.
Let <em>X</em> = number of single-shot espressos sold.
Compute the number of single-shot espressos sold by the cafe as follows:


Thus, the number of single-shot espressos sold by the cafe was 49.