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sdas [7]
3 years ago
6

The graph of F(X), shown below, has the same shape as the graph of

Mathematics
1 answer:
marshall27 [118]3 years ago
3 0

Answer:

The correct option is;

D. F(x) = x⁴ - x² + 2

Step-by-step explanation:

From the graph, we have;

The y-intercept =  2, therefore, when x = 0, y = 2

The graph has no x-intercept, therefore, the unction has complex roots

The possible function is F(x) = x⁴ + x² + 2 and F(x) = 2 - x⁴ - x²

The roots of the function, F(x) = x⁴ - x² + 2, is given as follows;

0 = x⁴ - x² + 2

x = (1 ± √(1 - 8))/(2) = (1 ± √(-7))/(2) which are imaginary roots

For F(x) = 2 - x⁴ - x², we have;

0 = 2 - x⁴ - x²

x = (1 ± √(1 + 8))/(2) = (1 ± 3)/(2)

x = 2 or x = -1, therefore, the function, F(x) = 2 - x⁴ - x², has real roots and the only possible solution is F(x) = x⁴ + x² + 2

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In which equation is x the independent variable?<br> A. x=7y<br> B. y=7x<br> C. y+7=x<br> D. y/7=x
Arturiano [62]

Answer:

B is the answer.

A) No because the value of x depends on what 7•y is

C) No because x depends on the value of y+7

D) No because the x depends on the value of y/7

In other words, on B, x doesn't depend on anything, your just given the value of it. Don't know how else to explain it, hope you get it.

7 0
3 years ago
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vovikov84 [41]
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2 years ago
Alicia pays $180 to have cable and wi-fi installed in her home. Each month, she will pay $75 month for her cable
zhannawk [14.2K]

Answer:

In a year she will pay $900

The cost of the installation and a month would be $225

The cost of a year and installation would be $1,080

Step-by-step explanation:

         </3 PureBeauty

           

7 0
3 years ago
4) Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each
zaharov [31]

Answer:

12

Step-by-step explanation:

So, she practices 12 hrs per week, and already has practiced 3 hrs this week.

This means she has 9 hrs left to practice.

3/4 of an hour is one session, so to find out the number of sessions she needs, you have to do (9 hours)/(one session)

which is basically 9 / ( 3/4)

\frac{9}{3/4}=\frac{9}{1} / \frac{3}{4}  = \frac{9}{1} * \frac{4}{3} = \frac{36}{3}  = 12

She needs 12 more sessions.

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lolololololololololololol

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lololololololololololol

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