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Mars2501 [29]
3 years ago
5

Please help

Mathematics
2 answers:
IRISSAK [1]3 years ago
8 0

Answer:

f(x)=5(2^x)

A is the correct option.

Step-by-step explanation:

We have been given the parent function f(x)=2^x

We have the transformation rule:

Rule: If the parent function y =f(x) is stretched vertically by a factor 'k' then the equation becomes y=kf(x).

Here, the exponential function f(x)=2^x vertically stretched by a factor 5, hence, k = 5.

Therefore, the equation for the new function is

f(x)=5(2^x)

A is the correct option.

IRISSAK [1]3 years ago
7 0
A vertical stretch of f(x) by a scale factor of a is 
g(x)=a f(x)

For f(x)=2^x, and a=5
the vertically stretched function is then
g(x)=a f(x)=5*2^x
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Suppose that Ayumi rolls a pair of fair six-sided dice. Let A be the event that the first die lands on 2 and B be the event that
Tanya [424]

Answer:

\frac{1}{6} ,\frac{1}{6} ,\frac{1}{36}\,,\,independent

Step-by-step explanation:

Given: Let A be the event that the first die lands on 2 and B be the event that the second die lands on 2.

To find:

P(A), the probability that the first die lands on 2

P(B), the probability that the second die lands on 2

P(A and B): the probability that the first die lands on 2 and the second die lands on 2

Solution:

Probability refers to chances of occurrence of some event.

Probability = number of favourable outcomes/total number of outcomes

Sample space = \left \{ 1,2,3,4,5,6 \right \}

Total number of outcomes = 6

For P(A):

Number of favourable outcomes = 1

So,

P(A)=\frac{1}{6}

For P(B):

Number of favourable outcomes = 1

So,

P(B)=\frac{1}{6}

P(A and B) = P(A)P(B)=\left ( \frac{1}{6} \right )\left ( \frac{1}{6} \right )=\frac{1}{36}

Yes, A and B are independent events as happening of each of the event does not depend on the other.

5 0
3 years ago
Joyce Stein borrowed 8,460 from Merchants Trust to pay for some merchandise for her dress shopThe loan is for 45 days at 8.75 pe
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Answer:

9.75

Step-by-step explanation:

Calculate the maturity value of a simple interest 8 month loan of Php8000 if the interest rate is 9.75.

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2 years ago
It took Ciera 24 minutes to drive 18 miles. It took chains of one hour to drive 46 miles. Who is driving at a faster rate?
katen-ka-za [31]

Answer:

Ciera is driving at a faster rate.

Step-by-step explanation:

You calculate speed, by dividing distance by time.

So 18 divided by 24 is 0.75. That is Ciera's speed.

And then to calculate the other person/thing's speed you have to divide 46 by 60 minutes (equal to one hour). The speed calculates to 0.7666666667

Therefore, Ciera is driving faster.

6 0
3 years ago
Read 2 more answers
Find the height of the triangle. x 95 61<br><br> 108.6<br><br> 46.1<br><br> 83.1<br><br> 171.4
elixir [45]

Answer: The height is 83.1 units


4 0
3 years ago
Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = 2 x-intercepts at x = -2 and x = -3 Horizo
Dominik [7]

Answer:

Correct answer:  y = ( 3x² + 15x + 18) / (x² + 2x - 8)

Step-by-step explanation:

The function has vertical asymptotes at points where it is not defined.

In our case it is at  x₁ = -4 and x₂ = 2

This means that the function in the denominator has a quadratic function whose roots are (x + 4) · (x - 2) = x² + 2x - 8

The function intercepts x axis at x₀₁ = -2 and x₀₂ = -3

This means that the function in the numerator has a quadratic function whose roots are (x + 2) · (x + 3) = x² + 5x + 6

The function currently looks like this:

y = (x² + 5x + 6) / (x² + 2x - 8)

Since the function has a horizontal asymptote y = 3, this means when x strive to + - infinite or x -> + - ∞  then it is

lim x -> + - ∞ (x² + 5x + 6) / (x² + 2x - 8) = 3

This means that the function in the numerator must has term 3x² which we will get when we multiply the currently function y = (x² + 5x + 6) / (x² + 2x - 8)  by the number 3 and get :

y = 3 · (x² + 5x + 6) / (x² + 2x - 8) = (3x² + 15x + 18) / (x² + 2x - 8)

y = ( 3x² + 15x + 18) / (x² + 2x - 8)

God is with you!!!

4 0
3 years ago
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