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cricket20 [7]
3 years ago
14

The graph of the parent function y = x cubed is horizontally stretched by a factor of One-fifth and reflected over the y-axis. W

hat is the equation of the transformed function?
A.) y = (5 x) cubed
B.)y = (negative 5 x) cubed
C.)y = (one-fifth x) cubed
D.)y = (negative one-fifth x) cubed
Mathematics
2 answers:
sasho [114]3 years ago
8 0

Answer: OPTION D.

Step-by-step explanation:

Below are some transformations for a function f(x):

If -f(x), then the function is reflected over the x-axis.

If f(-x), then the function is reflected over the y-axis.

If f(bx)  and b>1, then the function is horizontally compressed.

If  f(bx)  and 0 < b, then the function is horizontally stretched.

In this case you know that the parent function is:

y=x^3

According to the information given in the exercise, the parent function IS horizontally stretched by a factor of \frac{1}{5} and it is also reflected over the y-axis.

Therefore, based on the transformations explained before, you can notice that the transformation is:

f(-bx)

Where 0 < b

Therefore, the equation of the transformed function is:

y=(-\frac{1}{5}x)^ 3

Lunna [17]3 years ago
3 0

Answer:

its D on edu

Step-by-step explanation:

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Step-by-step explanation:

y=-1/3x-5 is what the equation looks like when you put it on a graph.

5 0
3 years ago
-3(5n-8)=-8(n-3)<br><br> Please Hurry
BartSMP [9]

Answer:

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6 0
2 years ago
An art history professor assigns letter grades on a test according to the following scheme.A: Top 5% of scoresB: Scores below th
adoni [48]

Answer:

Grade B score:

76 \leq x \leq 89    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73.3

Standard Deviation, σ = 9.7

We are given that the distribution of score on test is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

B: Scores below the top 5% and above the bottom 62%

We have to find the value of x such that the probability is 0.62

P( X > x) = P( z > \displaystyle\frac{x - 73.3}{9.7})=0.62  

= 1 -P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.62  

=P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.38  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 73.3}{9.7} = 0.305\\\\x = 76.26  

We have to find the value of x such that the probability is 0.05

P(X < 0.95) = \\\\P( X < x) = P( z < \displaystyle\frac{x - 73.3}{9.7})=0.95

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\displaystyle\frac{x - 73.3}{9.7} = 1.645\\\\x = 89.26  

Thus, the numerical value of score to achieve grade B is

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7 0
3 years ago
The number 72 is between what two perfect squares? Enter a numerical answer only.
jasenka [17]
Well a perfect square looks like this:

6 x 6
2 x 2

So the number 72 is between the PRODUCT of two perfect squares such as those.

One product has to be above 72, and the other below it.

So lets multiply.

8 x 8 = 64
9 x 9 = 81

Oh look at that, 72 is between 64 and 81.


7 0
3 years ago
Read 2 more answers
50 POINTS PLS HELP!!!
Viefleur [7K]

Answer:

1.) 90 ways

2.) 15,600 ways

3.) 24 ways

Step-by-step explanation:

1.)  Let's say   we are given 2 digits not equal to each other...The number of different orderings would be  2*1 = 2, or  if we wanted the number of ways to order 2 digits chosen :   10*9 = 90 ways

2.)   The number of ways to arrange 3 letters from 26 letters is:

26 Permutes 3  =    26! / (26 -3)!  =  26*25*24 = 15,600 ways to choose 3 letters in a certain order

3.) 4 different chores.  The number of ways to do them =  4*3*2 *1 = 24 ways

7 0
3 years ago
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