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2 years ago

Which of the following is a function equivalent to f(x) = 5(1.9)3x?

Mathematics

2 answers:

Sophie [7]2 years ago

6 0

B. f(x)=5(6.86x) this the correct anwser

Firlakuza [10]2 years ago

5 0

Answer:

The correct option is C.

Step-by-step explanation:

The given function is

$f(x)=5(1.9)^{3x}$

Using the properties of exponent.

$f(x)=5((1.9)^3)^{x}$ $[\because (x^m)^n=x^{mn}]$

$f(x)=5(6.859)^{x}$ $[\because (1.9)^3=6.859]$

$f(x)=5(6.86)^{x}$

The function $f(x)=5(6.86)^{x}$ is equivalent to the given function.

Therefore the correct option is C.

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Answer:

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2 years ago

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3 years ago

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Bill and Mary Ann went to the Viola bakery. Bill bought 5 pies and 7 donuts for $12.65. Mary Ann bought 6 of each for $12.30.

sweet [91]

Answer:

Pies=$0.85

Donuts= $1.20

Step-by-step explanation:

In the equation let p stand for the number of pies and d stand for the number of donuts.

To solve this set up 2 equations, one representing bill and the other representing Mary Ann.

Bill's equation is 5p+7d=$12.65.
Mary Ann's equation is 6p+6d=$12.30

Then solve using a system of equations. Systems of equations can be solved using elimination or substitution. I will use substitution. Solve bill's equation for p. This gives you $p=\frac{12.65-7d}{5}$ . Then, you can substitute that into Mary Ann's equation. This looks like $6\cdot \frac{12.65-7d}{5}+6d=12.3$ . Solve for d. Once you solve d=1.20. Finally, substitute 1.20 back into either Bill's or Mary Ann's for d and solve for p. No matter which equation you use p=0.85.

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2 years ago

If 6 pipes fill a tank in 120 minutes, then 5 pipes can fill it in how many minutes

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Answer:

It'll take 144 minutes for 5 pipes.

Step-by-step explanation:

${ \sf{6 \: pipes = 120 \: mins}} \\ { \sf{5 \: pipes = ( \frac{6}{5} \times 120) \: mins}} \\ \\ = { \sf{144 \: mins}}$

but practically, it seems to be abnormal. if 6 pipes take 120 mins, 5 pipes must takes a time greater than 120 mins cause amount of water flowing to the tank is decreasing.

But there is a possibility that pressure of water was increased for the case of five pipes, that's why it takes a time less than 120 mins. (t < 120)

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2 years ago

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