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Vera_Pavlovna [14]
1 year ago
8

F(x) = x² What is f(x) + f(x) + f(x)?

Mathematics
1 answer:
RSB [31]1 year ago
7 0

The result of the given expression f(x) + f(x) + f(x) = 3x².

<h3>What is defined as the quadratic function?</h3>

A quadratic function is one of the following: f(x) = ax² + bx + c, where a, b, and c are positive integers and an is not equal to zero.

  • A parabola is a curve that represents the graph of a quadratic function.
  • Parabolas can open up or down, and their "width" or "steepness" can vary, but they all share the identical basic "U" shape.
  • A quadratic equation is defined in mathematics as an equation of degree 2, which means that the highest exponent of the this function is 2.

As per the given question;

f(x) = x²

Now, we have to estimate the value of the function;

= f(x) + f(x) + f(x)

Substitute the value of f(x).

= x² + x² + x²

= 3x²

Thus, the value of the given function is found as 3x².

To know more about the quadratic equation, here

brainly.com/question/1214333

#SPJ9

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Enter the domain and range of the function g(x) = 9x2 − 5 as an inequality, using set notation and using interval notation. Comp
tia_tia [17]

The domain and the range of a function are the set of input and output values, the function can take.

  • <em>The domain and the range of </em>g(x) = 9x^2 - 2<em> is </em>(-\infty, \infty)<em>.</em>
  • <em>The parent function </em>f(x) =x^2<em> is vertically compressed by 9, then shifted down by 5 units to get </em>g(x) = 9x^2 - 2<em />

<em />

Given

g(x) = 9x^2 - 2

<u>Domain and range</u>

There is no restriction as to the input and the output of function g(x).

This means that the domain and the range are (-\infty, \infty)

(-\infty, \infty) is in interval notation

The corresponding set notation is: - \infty < x < \infty

<u />

<u>The parent function</u>

We have:

f(x) = x^2

First, the parent function is vertically compressed by a factor of 9.

The rule of this transformation is:

(x,y) \to (x,9y)

So, we have:

f'(x) = 9x^2

Next, the function is shifted down by 5 units.

So, we have:

g(x) = f'(x) - 5

g(x) = 9x^2 - 5

Read more about functions at:

brainly.com/question/21027387

4 0
2 years ago
Can someone please help me !!i really need this answer
Zarrin [17]
Yes they are congruent because they are reflecting on to each other
4 0
3 years ago
It is assumed that the test results for a class follow a normal distribution with a mean of 78 and a standard deviation of 36. I
HACTEHA [7]

Answer:

0.7143

- You know the minimum possible grade of the student

- You want to find out the probability that that grade which is greater than 72 is also greater than 84

- Expect the answer to be 0.7143

- The explanation/steps is given below

- The answer seems (and is) reasonable. You only created a new lower limit.

Step-by-step explanation:

Distribution Type: Normal

Mean: 78

Standard deviation: 36

Range of marks: [78 - 36], [78 + 36]  = [42 to 114]

If you know that a student's grade is greater than 72, what is the probability that it's greater than 84?

In this case, the full probability level is between 72 and the upper limit of 114 (instead of between 42 and 114). First, find the fraction of this probability.

[114 - 72] ÷ [114 - 42]  = 42/72  = 0.5833

So, the probability of a student's mark falling between 72 and 114 is 0.5833.

Now making this a whole interval, 114 - 72 = 42

What fraction of this interval of 42 will bear marks between 84 and 114?

[114 - 84]  = 30

30/42  = 0.7143

Because of the first part of the question "If you know (are sure) that a student's grade is greater than 72...", your answer stops at 0.7143, since 72 was used as the lower limit.

8 0
3 years ago
In graphing the equation y&lt;2x -5, the line is dotted and shaded below the line drawn.
MakcuM [25]

Answer:

True.

Step-by-step explanation:

This is  'less than' so the area below the line is shaded.

It is a dotted line  because the solution does not contain points on the line as the inequality sign is < NOT ≤.

7 0
3 years ago
Read 2 more answers
Add another set of points that are 8 units below points A, B, C, and D. This time, you'll need to rotate the lines into a differ
nikklg [1K]

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5 0
3 years ago
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