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dezoksy [38]
3 years ago
11

Factor using grouping: x³+ 3x² + 5x = 15

Mathematics
1 answer:
Brums [2.3K]3 years ago
4 0
X= 1.288 or just 1.29 is the correct answer. When you factor, set each factor equal to zero.
1. Move all terms to one side of the equation, usually the left, using addition or subtraction.
2. Factor the equation completely.
3. Set each factor equal to zero, and solve.
4. List each solution from Step 3 as a solution to the original equation.
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How are volatility and risk related in an investment?
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The answer is B
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What is 53/200 as a percent.
taurus [48]
\frac { 53 }{ 200 } \\ \\ =\frac { 26.5 }{ 100 } \cdot \frac { 2 }{ 2 } \\ \\ =\frac { 26.5 }{ 100 } \cdot 1\\ \\ =\frac { 26.5 }{ 100 }

Therefore your answer is 26.5%.
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(c). Under a set of controlled laboratory conditions, the size of the population P of a certain bacteria culture at time t (in s
Bezzdna [24]

(i) Since P(t) gives the population of the culture after t seconds, the population after 1 second is

P(1) = 3•1² + 3e¹ + 10 = 13 + 3e ≈ 21.155

In Mathematica, it's convenient to define a function:

P[t_] := 3t^2 + 3E^t + 10

(E is case-sensitive and must be capitalized. Alternatively, you could use Exp[t]. You can also specify that the argument t must be non-negative by entering a condition via P[t_ ;/ t >= 0], but that's not necessary.)

Then just evaluate P[1], or N[P[1]] or N <at symbol> P[1] or P[1] // N to get a numerical result.

(ii) The average rate of change of P(t) over an interval [a, b} is

(P(b) - P(a))/(b - a)

Then the ARoC between t = 2 and t = 6 is

(P(6) - P(2))/(6 - 2) ≈ 321.030

In M,

(P[6] - P[2])/(6 - 2)

and you can also include N just as before.

(iii) You want the instantaneous rate of change of P when t = 60 (since 1 minute = 60 seconds). Differentiate P :

P'(t) = 6t + 3e^t

Evaluate the derivative at t = 60 :

P'(60) = 6•60 + 3e⁶⁰ = 360 + 3e⁶⁰

The approximate value is quite large, so I'll just leave its exact value.

In M, the quickest way would be P'[60], or you can differentiate and replace (via ReplaceAll or /.) t with 60 as in D[P[t], t] /. t -> 60.

5 0
2 years ago
Triangle PQR with side p across from angle P, side q across from angle Q, and side r across from angle R
Sophie [7]

Answer:

PR Method

Step-by-step explanation:

q^2=p^2+r^2-2

4 0
2 years ago
Reggie pick 3 3/4 quarts of blueberries and 4 1/3 quarts of raspberries at a fruit farm about how many total quarts of berries d
KonstantinChe [14]
About 8 quarts of berries
7 0
3 years ago
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