Answer:
A) 2 + i
Step-by-step explanation:
F(x) = x^3 - 3x^2 + x + 5
0 = x^3 - 3x^2 + x + 5
0 = (x+1)(x^2 - 4x + 5)
Great, now we can separate these two parenthesis expressions because of the Zero Product Property. Start with the simple one:
0 = x + 1
<u>x = -1</u>
We have our first real root! But it doesn't look like that's one of the answer choices, so move on to the other expression:
0 = (x^2 - 4x +5)
This expression can't be factored, so we will use the quadratic formula (which is x = 
).
First solve for the positive part:
= (4 + sqrt(16-20)) / 2
= 4 + sqrt(-4) / 2
= 4 + 2i / 2
<u>= 2 + i</u>
Then for the negative part:
= (4 - sqrt(16-20)) / 2
= 4 - sqrt(-4) / 2
= 4 - 2i / 2
<u>= 2 - i</u>
<u></u>
<u>2 + i</u> is answer choice A! Our other roots, <u>2 - i</u> and <u>-1</u>, aren't answer choices.
Shelby mistake is 11;4 is not the correct mixed number
If this helps I got 2,-3 when I plug it into the graph though it says 2,3
Answer:
The probability of randomly choosing a slice of veggie pizza is 3/7
Step-by-step explanation:
Probability is the measure of uncertainty of any event. It is the ratio of number of favorable outcomes to the total number of possible outcomes. That is,
Probability, P(A) = (Number of a Favourable outcome) / (Total number of possible outcomes).
From the question,
There are four slices of pepperoni pizza and three slices of veggie pizza, this means
Total number of favourable outcomes = 4 + 3 = 7
The favourable outcome is the veggie pizza, therefore
Number of favourable outcome = 3
Hence,
Probability P (A) = 3 ÷ 7
P(A) = 3/7
The probability of randomly choosing a slice of veggie pizza is 3/7
1a) The function has arrows on both ends and no place in the middle where it is not defined. Its domain is ...
All Reals
1b) The function gives no output values below -3, but it gives output values of -3 and all above that. Its range is ...
y ≥ -3
1c) For values of x less than -1, the function's output is 1. This matches g(x) and s(x). At x=0, the function's output is -3, which only matches g(x). The appropriate choice is ...
g(x)
2b) The function is only defined for 0 ≤ x < 8. This is its domain.
3) A definition might be ...
