Answer:1.
1. 3 yellow and 9 red
Step-by-step explanation:
- r, the amount of red cards, is represented ox x-axis
- y, the amount of yellow cards, is represented ox y-axis
In the picture attached, the system is represented. The darker area shows all the points that are a solution to the system of inequalities.
The combinations can be rewritten as a coordinate pair, as follows:
1. 3 yellow and 9 red -> (9,3)
2. 6 yellow and 4 red -> (4,6)
3. 9 yellow and 3 red -> (3,9)
4. 12 yellow and 8 red -> (8,12)
As we can see in the picture, only the first option is a solution.
<span>–1/2(2n + 4) + 6 = –9 + 4(2n + 1)
-n - 2 + 6 = - 9 + 8n + 4
-n + 4 = 8n -5
-n -8n = - 5 -4
-9n = -9
n = 1</span>
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: 1
Step-by-step explanation: Okay 1 + 1 =2 2 + 1 = 3 3 + 1 = 4 4 + 1 = 5 5 + 1 = 6 6 + 1 = 7 7 + 1 = 8 8 + 1 = 9 9 + 1 = 10 that is all of the first 2 rows now go down 10 + 1 = 11 11 + 1 = 12 12 x 0 = 0 and 0 + 1 = 1 hope it helps.
The answer is 2300 because the climbing rate is 100 bacteria per hour. so times 100 and 13 and u get 1300 and u have to add that to the a 1000