Answer:
Slope = -3/5
Step-by-step explanation:
slope (m) = y2 - y1 / x2 - x1
m = -2 - 1 / 1 - -4
m = -3 / 1 + 4
m = -3 / 5
You can check the work by counting rise (-3 which means 3 units down) over run (5 which means 5 units to the right)
It looks like you're just going to add everything up...
1,008 +1,547+ 2897 + 265,489 + .07(265,489) = $289,525.20
Answer:
The correct option is;
[2.5, ∞)
Step-by-step explanation:
The given exponential equation can be expressed as follows;
10,000 × 4ˣ ≥ 320,000
Therefore we have;
4ˣ ≥ 320,000/10,000
4ˣ ≥ 32
㏒(4ˣ) ≥ ㏒(32)
x·㏒4 ≥ ㏒(32)
x ≥ ㏒(32)/㏒4
∴ x ≥ 2.5
Therefore, the interval the colony will have at least 320,000 bacteria is where x ≥ 2.5 or 2.5 ≤ x < ∞ which gives, the interval [2.5, ∞)
The property above is distribution property where we distribute x-term in the function.
Substitute both f(x) and g(x) in.
Évaluate/Combine like terms.
The function can be factored so there are two answers. (Both of them work as one of them is factored form while the other one is not.)
<u>Alternative</u>
<u>Answer</u>
- (f+g)(x) = 2x²-2x-2
- (f+g)(x) = 2(x²-x-1)
Both answers work. The second answer is in factored form.
Let me know if you have any doubts!
32.0 would be your answer
