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neonofarm [45]
1 year ago
10

Which of the following rational functions is graphed below?

Mathematics
1 answer:
lukranit [14]1 year ago
4 0

<h2>1 \: root \: solving\: f(x) = 0 \\ x = 0 \\  \\ vertical \: asymptote \: at \\ x = 1 \:  \:  \: and \:  \:  \: x =  - 4 \\  \\ f(x) =  \frac{x}{(x  + 4)(x - 1)}</h2><h2>Option C</h2>

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Select ALL the correct answers.
stiv31 [10]

Answer:

Statements 3, 4 and 5 are true.

Step-by-step explanation:

x^2 - 8x + 4

Using the quadratic formula:

x = [ -(-8) +/- √((-8)^2 - 4*1*4)] / 2

= (8 +/- √(64 - 16)) / 2

= 4 +/- √48 / 2

= 4 +/- 4√3/2

= 4 +/- 2√3.

So the third statement is true.

Converting to vertex form:

x^2 - 8x + 4

= (x - 4)^2 - 16 + 4

= (x - 4)^2 -12

So the extreme value is at (4, -12)

So the fourth statement is true.

The coefficient of the term in x^2 is 1 (positive) so the graph has a minimum.

4 0
3 years ago
In a right triangle, the lengths of the two legs are 8 cm and 10 cm respectively. Find the hypotenuse of the triangle.
Eddi Din [679]

12.8, pythagorean theorem.

5 0
2 years ago
Which expression is equivalent to<br>the answer are after the first one
seraphim [82]
It would be D)
Hope this helps
5 0
3 years ago
I will mark brainiest whoever answers this correctly
Paladinen [302]

Answer:

k = 3.9

Step-by-step explanation:

Since the three possible outcomes are given. Therefore, the sum of all the probabilities of the three possible outcomes will be equal to one:

\frac{7}{13} +\frac{1}{k}+ \frac{1}{2k} = 1 \\\\\frac{1}{k} \frac{1}{2k} =1-\frac{7}{13}\\\\\frac{3}{2k} \frac{5}{13}\\\\2k = \frac{(13)(3)}{5}\\\\k = \frac{39}{(5)(2)}\\

<u>k = 3.9</u>

6 0
2 years ago
Which digit is in the ten thousandths place in 4,6037?
Iteru [2.4K]

Answer:

7

Step-by-step explanation:

4- Ones

6- tenths

0-hundredths

3-thousandths

7-ten-thousandths

Hope this helps! :)

6 0
2 years ago
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