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vampirchik [111]
3 years ago
11

P(x) = x3 – 2x2 – 13x – 10

Mathematics
2 answers:
LenKa [72]3 years ago
5 0

Answer:

a=1

b=3

c=2

Step-by-step explanation:

zlopas [31]3 years ago
3 0

Answer:

Step-by-step explanation:

A=1

B=3

C=2

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The range of which function is (2, infinity)? y = 2x y = 2(5x) y = 5x +2 y = 5x + 2
Sveta_85 [38]

Answer:

I think your functions are y=2^{x} ,y=2*5^{x} and y=2+5^{x}

If yes then then the third function which is y=2+5^{x}.

Step-by-step explanation:

The function c^{x} where c is a constant has

Domain : c\geq 0

Range : ( 0 , ∞ )

The above range is irrespective of the value of c.

I have attached the graph of each of the function, you can look at it for visualization.

  • <em>y=2^{x} ⇒ </em>This function is same as  c^{x} so its range is <em>( 0 , ∞ )</em>.
  • <em>y=2*5^{x} ⇒ </em>If we double each value of the function y=5^{x}, which has range ( 0 , ∞ ), but still the value of extremes won't change as 0*2=0 and ∞*2=∞. Therefore the range remains as <em>( 0 , ∞ )</em>.
  • <em>y=2+5^{x}</em> ⇒ If we add 2 to each value of the function y=5^{x}, which has range ( 0 , ∞ ), the lower limit will change as 0+2=2 but the upper limit will be same as ∞. Therefore the range will become as <em>( 2 , ∞ )</em>.

3 0
3 years ago
Read 2 more answers
A utility company in a western city of the United States expects the consumption of electricity to increase by 11%/year during t
nevsk [136]
Let C₀ be current consumption. Then consumption (C) after t years is: 
<span>C(t) = C₀ * (1 + 0.1)^t </span>
<span>C(t) = C₀ * (1.1)^t </span>

<span>After 10 years, consumption will be: </span>
<span>C(10) = C₀*(1.1)^10 </span>
<span>C(10) = 2.5937424601 C₀ </span>

<span>Total percentage increase after 10 years: </span>
<span>(2.5937424601 C₀ - C₀) / C₀ = 1.5937424601 C₀ / C₀ = 1.5937424601 = 159.37% </span>

<span>Utility company will have to increase generating capacity by 159.37%</span>
6 0
3 years ago
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