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vova2212 [387]
4 years ago
8

Which of the following functions results in a graph that shows exponential decay? f(x) = 4(0.8)x f(x) = 0.7(1.2)x f(x) = 12(3)x

f(x) = 0.5(2)x
Mathematics
2 answers:
coldgirl [10]4 years ago
8 0

Answer:

1st option on edgu

Step-by-step explanation:

you can tell it is because of the negative 2

Korvikt [17]4 years ago
5 0

The function will show exponential decay if one of the following is true

  • the base is less than 1 and the exponent is positive
  • the base is greater than 1 and the exponent is negative

The function that meets the requirement for exponential decay is ...

f(x)=4\cdot 0.8^{x}\quad\text{matches the first choice}

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6x+5y=4

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Answer:

x=141

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A store is having a sale on walnuts and chocolate chips. For 2 pounds of walnuts and 5 pounds of chocolate chips, the total cost
oksian1 [2.3K]
It will be $2.50 for each pound of walnuts, and it will be $1 for each pound of chocolate chips.

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3 years ago
For the equation 2(4+x)+(13+x)=3x+k which value of k will create an equation with no solutions. .A. x B. 3x .C 15 D. 21
Artist 52 [7]
<h3>Answer: choice C) 15</h3>

Simplify the left side to get

2(4+x)+(13+x)

2(4)+2(x) +13+x

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------------

So the original equation

2(4+x)+(13+x) = 3x+k

turns into

3x+21 = 3x+k

------------

Subtract 3x from both sides

3x+21 = 3x+k

3x+21-3x = 3x+k-3x

21 = k

k = 21

-----------

If k = 21, then the original equation will have infinitely many solutions. This is because we will end up with 3x+21 on both sides, leading to 0 = 0 after getting everything to one side. This is a true equation no matter what x happens to be.

If k is some fixed number other than 21, then there will be no solutions. This equation is inconsistent (one side says one thing, the other side says something different). If k = 15, then

3x+21 = 3x+k

3x+21 = 3x+15

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The last equation is false, so there are no solutions here.

note: if you replace k with a variable term, then there will be exactly one solution.

6 0
3 years ago
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