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inessss [21]
2 years ago
13

Which equation represents a population of 370 animals that decreases at an annual rate of 11% ?

Mathematics
1 answer:
kati45 [8]2 years ago
7 0

The equation represents a population of 370 animals that decreases at an annual rate of 11% is p=370(0.89)^{t}.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly decreases and the value of the exponential function is always positive. It denotes with exponent y = a^x

where a is a constant and a>1.

Given that,

A population of 370 animals that decreases at an annual rate of 11%

a = 370, r = 11%

p = a(1-r)^{t}

 =  370(1-0.11)^{t}

p  =  370(0.89)^{t}

Hence, The equation represents a population of 370 animals that decreases at an annual rate of 11% is p=370(0.89)^{t}.

To learn more about exponential function from the given link:

brainly.com/question/24429075

#SPJ4

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2 years ago
-3x(7x-4)+6x-(13-24x²)​
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Answer:

  • 3x^2+18x-13.

Step-by-step explanation:

<u>Step 1:</u>

<em>Equation should be:</em>

  • ((0-(3x*(7x-4)))+6)-(13-(2^3*3x^2))

<u>Step 2:</u>

<em>Equation should be:</em>

  • ((0-3x*(7x-4))+6x)-(13-24x^2)

<u>Step 3:</u>

  • Factoring 3x^2+18x-13
  • The first term is 3x^2. It's coefficient is 3.
  • The middle term is +18x, it's coefficient is 18.
  • The last term, "the constant", is -13.

<em>Step 1</em>:

  • Multiply the coefficient of the first term by the constant   3 * -13 = -39

<em>Step 2:</em>

  • Find two factors of  -39  whose sum equals the coefficient of the middle term, which is 18 .
  •  -39    +    1    =    -38
  •      -13    +    3    =    -10
  •      -3    +    13    =    10
  •      -1    +    39    =    38
  • Observation : No two such factors can be found !!
  • Conclusion : Trinomial can not be factored

<u>Solution:</u>

  • <u />3x^2 + 18x - 13.

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