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3 years ago

Answer the questions about the following function.

Mathematics

2 answers:

balandron [24]3 years ago

8 0

Answer:

Step-by-step explanation:

(a) The function ...

$f(x)=\dfrac{16x^{2}}{x^{4}+64}$

can be evaluated for x=-2√2 to get ...

$\displaystylef(-2\sqrt{2})=\frac{16(-2\sqrt{2})^{2}}{(-2\sqrt{2})^4+64}=\frac{128}{64+64}=1$

The point (-2√2, 1) is on the graph of f(x).

(b) Likewise, we can evaluate for x=2:

$f(2)=\dfrac{16\cdot 2^2}{2^4+64}=\dfrac{64}{80}=0.8$

The point on the graph is (2, 0.8).

(c) From part (a), we know that f(-2√2) = 1. Since the function is even, this means that f(2√2) = 1. The graph is a maximum at those points, so there are no other values for which f(x) = 1.

The points (±2√2, 1) are on the graph.

(d) There are no values of x for which f(x) is undefined. The domain is all real numbers.

(e) The only x-intercept is at the origin, (0, 0). The x-axis is a horizontal asymptote.

(f) The only y-intercept is at the origin, (0, 0).

anastassius [24]3 years ago

5 0

Answer:

its B

Step-by-step explanation:

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3 years ago

13) 7x - 4x <br>A) 2 - 3x <br>B) -X <br>C) 8x<br>D) 3x

swat32

D) 3x is the answer

4 0

3 years ago

Read 2 more answers

You’re taking an exam in math, and you spend 5 minutes for every 2 questions you answer on the test.(Plz answer! I’m failing and

Natali5045456 [20]

Given:

Time spend on every 2 questions = 5 minutes.

To find:

The missing values for the given table.

Solution:

Let x be the number of questions and y be the number of minutes.

We have,

Time spend on every 2 questions = 5 minutes

Time spend on 1 question = $\dfrac{5}{2}=2.5$ minutes

Time spend on x questions = $2.5x$ minutes

Now,

$y=2.5x$

For x=0,

$y=2.5(0)=0$

For x=1,

$y=2.5(1)=2.5$

For x=2,

$y=2.5(2)=5$

For x=3,

$y=2.5(3)=7.5$

For x=4,

$y=2.5(4)=10$

Therefore, the required table is

Questions : 0 1 2 3 4

Time (minutes) : 0 2.5 5 7.5 10

7 0

2 years ago

Please help really fast :)

olasank [31]

Answer:

Step-by-step explanation:

The two smaller angles add up to the measure of the total angle, so

(like a lot of geometry) it is really just an Algebra 1 problem with a nice picture to go with it ---> (5x + 13°) + (3x + 33°) = 70°

8x + 46° = 70°

8x = 24°

x = 3°

There is no actual question shown, but I imagine you want one or more of the following:

x = 3°

∠ABC = 3(3°) + 33° = 9°+ 33° = 42°

∠CBD = 5(3°) + 13° = 15° + 13° = 28°

Hope this helps.

4 0

2 years ago