Answer:
Total number of fans = 226 fans
Step-by-step explanation:
entrance fee per person = $7
Total sales made = $1582
Total number of fans = 1582/7 = 226 fans
Answer:
C
Step-by-step explanation:
So I'm going to subtract (x+7)/(x+3) on both sides:
(x-6)/(x+5)-(x+7)/(x+3)>=0
Now I'm going to find a common denominator which is (x+5)(x+3).
[(x-6)(x+3)-(x+7)(x+5)]/[(x+5)(x+3)]>=0
Now I just have a lot of simplifying to do:
[x^2+3x-6x-18-(x^2+5x+7x+35)]/(x^2+3x+5x+15)>=0
[-3x-18-12x-35]/(x^2+8x+15)>=0
[-15x-53]/[x^2+8x+15]>=0
Answer:
It's matched left by right side. Steps are not in order!
Step-by-step explanation:
1. Square both sides and simplify
2. Find the distance between the focus and the point on the parabola
3. Choose a point on the parabola
4. Write the equation of the parabola
5. Set the distance from focus to the point equal to the distance from directrix
to the point
6. Find the distance from the point on the parabola to the directrix
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:
the are would be 18
Step-by-step explanation:
bc 2x3=6 and then 4x3=12 so 12+6=18