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1 year ago

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Which function has a simplified base of 4^3√4?

1 answer:

IrinaVladis [17]1 year ago

4 0

Answer:

The function is $f(x) = 4(\sqrt[3]{16} )^{2x}$ .

Step-by-step explanation:

We have to choose from options the exponential function which has a simplified base of 4∛4 i.e. ∛(256).

Now, the exponential function in the option III will be the answer.

The function is $f(x) = 4(\sqrt[3]{16} )^{2x}$ .

So, the base is $(\sqrt[3]{16} )^{2}$ = $\sqrt[3]{16^{2}} = \sqrt[3]{256} = 4\sqrt[3]{4}$ . (Answer)

The general formula of an exponential function is $f(x) = a(b)^{x}$ , where b is called the base of the function.

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Which function has a range of y < 3?

Setler79 [48]

Using a graphing tool

Let's graph each of the cases to determine the solution of the problem

<u>case A)</u> $y=3(2^{x})$

see the attached figure N $1$

The range is the interval--------> (0,∞)

$y> 0$

therefore

the function $y=3(2^{x})$ is not the solution

<u>case B)</u> $y=2(3^{x})$

see the attached figure N $2$

The range is the interval--------> (0,∞)

$y> 0$

therefore

the function $y=2(3^{x})$ is not the solution

<u>case C)</u> $y=-2^{x}+3$

see the attached figure N $3$

The range is the interval--------> (-∞,3)

$y< 3$

therefore

the function $y=-2^{x}+3$ is the solution

<u>case D)</u> $y=2^{x}-3$

see the attached figure N $4$

The range is the interval--------> (-3,∞)

$y>-3$

therefore

the function $y=2^{x}-3$ is not the solution

<u>the answer is</u>

$y=-2^{x}+3$

5 0

1 year ago

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Your last five customer interactions lasted 2,3,6,8 and 4minutes how many minutes did i average across the 5

Phantasy [73]

So to find the avrage u r going to add all the numbers then divide by the nuber of nubers u have there that will give u ur answer

5 0

1 year ago

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The zoo needed to raise $25,000. Zoo officials planned a dinner/dance event and charged $300 per couple. What is the fewest numb

Zielflug [23.3K]

84 the least hope that helps

3 0

1 year ago

Fudgin [204]

Answer:

A. $301

B. $721

Step-by-step explanation:

Let $x be the amount of money they raised.

Rowena tried to put the $1 bills into two equal piles and found one left over at the end, then

$x=2q_1+1$

Polly tried to put the $1 bills into three equal piles and found one left over at the end, then

$x=3q_2+1$

Frustrated, they tried 4, 5, and 6 equal piles and each time had $1 left over, then

$x=4q_3+1\\ \\x=5q_4+1\\ \\x=6q_5+1$

Finally Rowena put all the bills evenly into 7 equal piles, and none were left over, then

$x=7q_6$

This means $x-1$ is divisible by 2, 3, 4, 5 and 6 without remainder, so

$x-1=2\cdot 3\cdot 2\cdot 5n=60n$

Hence,

$x=60n+1, \ n\in N$

The smallest amount of money they could have raised is $301, because

$x=60\cdot 5+1=301$ is divisible by 7.

Now, the number $x=60n+1$ should be divisible by 7 and must be greater than 500.

So,

$60n+1>500\\ \\60n>499\\ \\n>8$

When n = 9,

$x=60\cdot 9+1=541$ is not divisible by 7.

When n = 10,

$x=60\cdot 10+1=601$ is not divisible by 7.

When n = 11,

$x=60\cdot 11+1=661$ is not divisible by 7.

When n = 12,

$x=60\cdot 12+1=721$ is divisible by 7.

B. The least amount of money they could have raised is $721

7 0

1 year ago

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Yi Min is a pitcher on her softball team. This season,

almond37 [142]

Answer:

48

Step-by-step explanation:

0.8 times 60= 48

4 0

2 years ago