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marta [7]
3 years ago
13

Find the range of the following piecewise function... help please!!!

Mathematics
1 answer:
Debora [2.8K]3 years ago
3 0
(2, ∞) ..................................
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Simplify the expression
ollegr [7]

Answer:

<h3>              f(x) = x - 6</h3><h3>             g(x) = x - 5</h3>

Step-by-step explanation:

\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5

4 0
3 years ago
How to solve this ?<br>​
beks73 [17]

Answer:

1350

Step-by-step explanation:

use binomial general term expression for (r+1)th term

get the power of x in terms of r.

equate the expression to -2 and solve for r.

replace value of r and calculate the coefficient.

5 0
1 year ago
A. Find a power function that models the data below.
zalisa [80]

Using Visual inspection, the model which fits the data in the distribution better is the power function.

The power and linear functions can of the data can both be modeled using technology,

<u>Using Technology</u> :

The power function in the form y = Ax^{B} which models the data is 1.926x^{1.662}

The linear function in the form y = Bx + A which models the data is y = 7.429x - 8.333

  • Where A = intercept and B = slope

  • From the model, correlation coefficient given by the power and linear models are 0.999 and 0.986 respectively.

  • Hence, the power model is a better fit for the data than the linear model.

Therefore, Inspecting the models visually, the power function fits the data better as the points on the curve are closer to the regression line than on the linear model.

Learn more :brainly.com/question/18405415

6 0
2 years ago
What is the equation of the line that is parallel to the given
andre [41]

Answer:

To develop a molecular clock, you need to find which of the following?

a sequence of molecules

the rate at which changes occur in a type of molecule

how much total change has occurred in a type of molecule from two different species

how many molecules a species has

Step-by-step explanation:

To develop a molecular clock, you need to find which of the following?

a sequence of molecules

the rate at which changes occur in a type of molecule

how much total change has occurred in a type of molecule from two different species

how many molecules a species has

3 0
3 years ago
Mr. Jones took a survey of college students and found that 60 out of 65 students are liberal arts majors. If a college has 8,943
Anit [1.1K]

Should be 5812.95 Students

8 0
3 years ago
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