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jok3333 [9.3K]
3 years ago
5

Y=x^2 is reflected across the x-axis and then scaled vertically by a factor of 1/8

Mathematics
1 answer:
Minchanka [31]3 years ago
7 0

The parabola y=x^2 is reflected across the x axis and then scaled vertically by a factor of 1/8 is y = -\frac{1}{8} x².

<h3>What is Equation of parabola?</h3>

The general equation of a parabola is: y = a(x-h²2 + k or x = a(y-k)² +h, where (h,k) denotes the vertex.

The standard equation of a regular parabola is y² = 4ax.

The given equation is of parabola : y= x²

Now, we have to reflect across the x- axis and then scaled vertically by a factor 1/8.

When we reflect this parabola in the x-axis and then scaled vertically by a factor of 1/8.

Then, the new equation of parabola be:

  y = -\frac{1}{8} x²

Hence, The parabola y=x² is reflected across the x axis and then scaled vertically by a factor of 1/8 is y = -\frac{1}{8} x².

Learn more about Equation of parabola here:

brainly.com/question/4074088

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If f(x) = x5 â€" 1, g(x) = 5x2, and h(x) = 2x, which expression is equivalent to [g o f o h](9)? 2(5(95 â€" 1)2) 2((5 · 92)5 â€
Elina [12.6K]

The equivalent expression for [gofoh](9) is 5(32(9)^5-1).

According to the given question.

We have three functions

f(x) = x^5 - 1

g(x) = 5x^2

h(x) = 2x

Here, we have to find the equivalent expression for [gofoh](9).

so,

gofoh(x)

= g((2x)^5 -1)

= g(32x^5 -1)

= 5(32x^5 -1)

Therefore,

gofoh(9)

= 5(32(9)^5-1)

Hence, the equivalent expression for [gofoh](9) is 5(32(9)^5-1).

Find out more information about equiavlent expression here:

brainly.com/question/28170201

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6 0
2 years ago
Which of the following values is a solution of |2-x| less than 4
morpeh [17]

The correct answer is -1.

In order to solve this, we need to split into the positive and negative version of the answers. Let's start with the positive version.

2 - x < 4

-x < 2

x > -2 ----> NOTE: When we divide by -1, we have to change the direction of the sign.

Now we'll do the negative version.

2 - x > -4

-x > -6

x < 6

So we know the number must be greater than -2, but less than 6. The only number on this list that fits that is -1.

4 0
3 years ago
The product of 5 and a number n is at least 25.
Afina-wow [57]
5x2+15=25 is the answer
3 0
3 years ago
What's the mean of 3 4 5 3 4 5 6 7 1 2 3 4 5 6 4 8 4 3 2 <br> A. 4.1<br> B.4.2<br> C.8.0<br> D.8.3
Bess [88]

Answer:

A. 4.1

Step-by-step explanation:

3+4+ 5+ 3+ 4+ 5+ 6+ 7+ 1+ 2+ 3+ 4+ 5+ 6+ 4+ 8+ 4+ 3+ 2= 79

79/ 19 = 4.1

3 0
3 years ago
The average age of online consumers a few years ago was 24.1 years. As older individuals gain confidence with the​ Internet, it
love history [14]

Answer:

The correct option is (C).

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.  

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

Whereas the alternative hypothesis is a contradicting statement tot he null hypothesis. It is denoted by Hₐ.

In this case we need to test whether the average age of online consumers has increased or not.

From previous data we know that the average age of online consumers a few years ago was 24.1 years.

A one-sample mean test can be used to determine whether the mean age has increased or not.

The hypothesis for the test can be defined as follows:

<em>H₀</em>: The average age of online consumers is 24.1 years, i.e. <em>μ</em> = 24.1.

<em>Hₐ</em>: The average age of online consumers is more than 24.1 years, i.e. <em>μ</em> > 24.1.

Thus, the correct option is (C).

6 0
3 years ago
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