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3 years ago

At which values of x does the function f(x) have a vertical asymptote

Mathematics

1 answer:

Pani-rosa [81]3 years ago

3 0

Answer:

A. 0

E. -3

F. 9

Step-by-step explanation:

You can't divide by 0; it is undefined. So if x cannot equal zero, then anything that turns the denominator to zero is an asymptote. Therefore, the roots of the cubic expression would be excluded, and we get our final answers.

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Find the indicated derivative If f(x) = x^3 , find f’(-4)

babunello [35]

Answer:

Step-by-step explanation:

f(x) = x³

f'(x) = 3x²

f'(-4) = 3(-4)²

f'(-4) = 48

7 0

3 years ago

Solve the system: x' = (2 4 -1 6)x

sertanlavr [38]

Answer:

$x=e^{8t}+c$

Step-by-step explanation:

we have given x'=(24-16)x=8x

x' denotes the differenation

$\frac{dx}{dt}=8x$ differentiation is performed with respect to t

by variable separable method we can write

$\frac{dx}{x}=8dt$

on integrating both side

$lnx=8t+c$

$x=e^{8t}+c$ (property of log )

so the solution for x will be $x=e^{8t}+c$

6 0

3 years ago

Question in the picture

Ket [755]

Answer:

<h2>nonagon, 9 sides</h2>

Step-by-step explanation:

the interior angles is 360 - 220 = 140°

it's a nonagon, 9 sides

3 0

2 years ago

Could someone show me how you would factorise : 9a(squared) - 6ab + 12ac - 8bc

wlad13 [49]

9a^2 -6ab+ 12ac -8bc

This expression cannot be factorized because its terms don't have at least a common factor~

4 0

4 years ago

Graph the following inequality 6x-2y>8 Please help me and show me how to graph it.

Svetradugi [14.3K]

Answer:

6x - 2y > 8

First, solve the inequality (Isolate the y-variable & put it in function format):

$6x - 2y > 8\\-2y > 8 - 6x\\(-1)(-2y) > (-1)(8-6x)\\2y < 6x-8\\y < \frac{6x-8}{2} \\y < 3x - 4$

Second, graph the function y = 3x - 4 on the graph.

It should be linear.
Because the inequality is < and not ≤, the values on the line aren't included in the solution, so your line should be dotted, not solid.

Third, shade in the area below the line(where y-values are smaller).

Since the inequality is <, that means the solutions are smaller than the solutions of the function 3x - 4.

8 0

3 years ago