Answer:
Step-by-step explanation:
Hello,
14 = 7 * 2 * 1
42 = 7 * 3 * 2 * 1
It can be 14, 7, 2 or 1
So there are 4 different positive numbers which meet the criteria
Hope this helps
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.
Answer:
4×(-5)=-20
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
(6x+2)/(3x+1) = 2
Answer: 57.1 (rounded)
Step-by-step explanation:
Area of triangle formula: 1/2 x base x height
Area of a semicircle: 1/2 x pi x r^2
(1/2 x 8 x 8) + (1/2 x pi x 4^2)
= 57.1 (rounded)