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Nuetrik [128]
3 years ago
15

The function y=-5x+2 is transformed by reflecting it over the y axis. What is the equation of the new function?

Mathematics
1 answer:
vampirchik [111]3 years ago
7 0

y = mx + b

When a function is reflected over the y-axis, the b (2) stays the same but the slope (m) changes to its opposite sign.

since the slope is negative in this equation, it will become positive.

so the new fuction will be

y = 5x + 2

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How are rational functions similar to linear, quadratic, or exponential functions? How are they different? When are these simila
jeyben [28]

Answer:

See explanation below for further details.

Step-by-step explanation:

A rational consist of two real numbers such that:

\frac{a}{b} =c

If c is a polynomial with a certain grade, then, both the numerator and the denominator must be also polynomials and the grade of the numerator must be greater than denominator.

If c is linear function, that is, a first order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.

Example:

If a = x^{2} and b = x, then:

c = \frac{x^{2}}{x}

c = x

If c is a quadratic function, that is, a second order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.

Example

If a = 3\cdot x^{3} and b = x, then:

c = \frac{3\cdot x^{3}}{x}

c = 3\cdot x^{2}

But if c is an exponential, both the numerator and the denominator must be therefore exponential function and grade of each exponential function must different to the other.

Example

If a = 10^{2x} and b = 3\cdot 10^x, then:

c = \frac{10^{2\cdot x}}{3\cdot 10^{x}}

c = \frac{1}{3}\cdot 10^{2\cdot x -x}

c = \frac{1}{3}\cdot 10^x

Otherwise, c would be equal to a constant function, that is, a polynomial with a grade 0.

If a = 5\cdot e^{x} and b = -3\cdot e^{x}, then:

Example

c = \frac{5\cdot e^{x}}{-3\cdot e^{x}}

c = -\frac{5}{3}

It is worth to add that exponential functions can be a linear combination of single exponential function, similar to polynomials.

Example

5\cdot a^2\cdot x -9

7 0
3 years ago
Part A: If (7^2)^x = 1, what is the value of x? Explain your answer. (10 points)
Alex777 [14]
Answers:Part A: The value of x is 0.Part B: X can be any real number.
In Part A, you have to first evaluate 7^2. This is 49. Now, write the equation 49^x = 1. We know that if you raise any number to 0, then the answer is 1.
In Part B, you have to first evaluate 7^0, that is 1. Now, we have the equation 1^x = 1. In this case, 1 raised to any exponent is still only 1. Imagine 1^17, this would be 1 times itself 17 times or just 1.
Therefore any number will work in Part B.

3 0
3 years ago
Which answer describes the simpler problems that could be used to solve this story problem?
puteri [66]
<span>B. Calculate how many pieces of fruit go into each bag. Multiply this by the number of students going on the trip. </span>
4 0
3 years ago
can someone go to my profile then go to my questions I keep posting them but no one replies please I need help
andrew11 [14]

Answer:

ok ill look

Step-by-step explanation:

6 0
3 years ago
This graph shows a reciprocal parent function.
maxonik [38]

Answer:

  • C. The function is never increasing

Step-by-step explanation:

According to the graph, the line goes down in both sections as the value of x increases. It means the function is always decreasing.

<u>Correct answer choice is:</u>

  • C. The function is never increasing
3 0
2 years ago
Read 2 more answers
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