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VLD [36.1K]
3 years ago
15

What is the equation of the asymptote of the graph of y=3(4^x) A. x=4 B. x=0 C. y=3 D. y=0

Mathematics
1 answer:
kompoz [17]3 years ago
3 0
The asymptote cannot be x= because x can be any number. If you think about it, you can take a number to any exponent.
If x is a positive exponent, y is positive.
If x is a nevative exponent, y decreases, but is still positive. This is because a number to a negative exponent equals 1 over the number to the positive exponent. Thus, it is smaller, but still positive.
If x is 0, y is positive again because anything to the zero is positive 1.
There is no way y could be less than or equal to zero. So, there is an asymptote at y=0.
Also, set the equation equal to 0 and solve. You should end up with 4^x=0. Since no exponenent can make a number zero, this isn't possible, so y cannot equal zero.
Here is the graph for a visual:

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You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die an
ASHA 777 [7]

Answer:

a

  Yes

b

 P(1 \& 5) = \frac{1}{36}

c

 P(5 \& 1) = \frac{1}{36}

d

 P(5 \& 1 | 1\& 5  ) = \frac{1}{18}

Step-by-step explanation:

From the question we are told that

     Two fair dice, one green and one red were rolled

Generally the  outcomes on the dice independent because the outcome on the first dice is not affected by the second die

Generally the  probability of getting a 1  on a dice rolled is  P(1) =  \frac{1}{6}

the  probability of getting a 5 on a dice rolled is  P(5) =  \frac{1}{6}

Generally the probability of P(1 on green die and 5 on red die) is mathematically represented as

         P(1 \& 5) = \frac{1}{6}  *\frac{1}{6}

         P(1 \& 5) = \frac{1}{36}

Generally the probability of P(5 on green die and 1 on red die) is mathematically represented as

          P(5 \& 1) = \frac{1}{6}  *\frac{1}{6}

         P(5 \& 1) = \frac{1}{36}

Generally the probability of P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) is mathematically represented as

          P(5 \& 1 | 1\& 5  ) = \frac{1}{36} + \frac{1}{36}

         P(5 \& 1 | 1\& 5  ) = \frac{1}{18}

8 0
3 years ago
I need help plz I really need
TiliK225 [7]

Answer:

Option 3

Step-by-step explanation:

This is the same reason that Pythagorean's Theorem works. The area made up of the X and Y Regions (the squares of the two legs of the triangle) is equal to Region Z (the square of the hypotenuse)

6 0
3 years ago
Can someone help me in question 28 please
AnnyKZ [126]

Answer: You would get 1 for the first section

Step-by-step explanation: you square whatever number is the x then you cube the x.

6 0
3 years ago
How many servings of<br> cups are in 33 cups of ice cream?
Galina-37 [17]

Answer:

I am 99% sure its 33 servings

Step-by-step explanation:

because the question says that "how many servings of <u>cups</u> are in <u>33 cups</u>".

(hopefully im right) and HOPEFULLY THIS HELPS. : )

5 0
3 years ago
The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers.
guajiro [1.7K]

Answer: the player answered 30 questions correctly.

Step-by-step explanation:

Let x represent the number of questions that the player answered correctly.

Let y represent the number of questions that the player answered incorrectly.

The number of questions that the player answered is 40. It means that

x + y = 40- - - - - - - - - - -1

The score on the trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If the player obtained a score of 50, It means that

2x - y = 50

y = 2x - 50

Substituting y = 2x - 50 into equation 1, it becomes

x + 2x - 50 = 40

3x - 50 = 40

3x = 40 + 50 = 90

x = 90/3

x = 30

5 0
3 years ago
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