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DENIUS [597]
3 years ago
6

What are the series of the function? f(x)=4x^3+8x^2-4x-8

Mathematics
2 answers:
evablogger [386]3 years ago
8 0
Cannot be written as a function because there one variable cannot rewrite
natita [175]3 years ago
3 0

Answer:

C

Step-by-step explanation:

This question should say "what are the roots or zeros of the function." The zeros or roots of a function are the x-intercepts. We find them by factoring and setting each factor equal to 0.

We can factor by grouping. We group two terms each into parenthesis and find the GCF of each pair. We should find a repeating factor of (x+2). We only keep one of these.

4x^{3}+8x^{2}-4x-8\\  (4x^{3}+8x^{2)+(}-4x-8)\\4x^{2}(x+2)-4(x+2)\\(4x^{2} -4)(x+2)

We set each factor equal to 0 and solve for x.

(4x^{2} -4)=0\\\\4x^{2}=4\\x^{2} =1\\ x=1\\(x+2)=0\\x=-2

Our zeroes or roots are -2. -1. and 1. Answer C.

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Solve for xxx. Your answer must be simplified. \dfrac x{-6}\geq-20 −6 x ​ ≥−20
Tems11 [23]

Answer:

x ≤ - 27

Step-by-step explanation:

\frac{x}{-9}\ge \:3\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\frac{x\left(-1\right)}{-9}\le \:3\left(-1\right)\\\\Simplify\\\\\frac{x}{9}\le \:-3\\\\\mathrm{Multiply\:both\:sides\:by\:}9\\\\\frac{9x}{9}\le \:9\left(-3\right)\\\\\mathrm{Simplify}\\\\x\le \:-27

7 0
3 years ago
A triangle has squares on its three sides as shown below. What is the value of x? Three squares having side lengths 3 cm, x cm,
Pani-rosa [81]

Answer:

The value of x is 5 centimeters.

Therefore, option 3 is correct.

Step-by-step explanation:

A triangle has three sides 3,x and 4 cms

Since the triangle is right angle triangle  so, it will follow the Pythagoras theorem:

hypotenuse^2=side^2+side^2    (1)

We have been given three sides x,3 and 4

On substituting the values in (1) we get:

x^2=3^2+4^2

x^2=9+25

\Rightarrow x=5

Hence, the value of x is 5 centimeters.

Therefore, option 3 is correct.

Please look at the attachment for the figure.

3 0
3 years ago
Read 2 more answers
Find the probability.
KATRIN_1 [288]

Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there are 15 bottles.

  • 5 are orange, hence the is a 5/15 = 1/3 probability that the coach gets orange, hence P(A) = 1/3.
  • After the coach, there will be 14 bottles remaining, of which 4 are orange, hence the probability that the friend gets orange is of P(B) = 4/14 = 2/7.
  • For you, there will be 13 bottles remaining, of which 5 will be of fruit-punch, hence the probability you get fruit-punch is of P(C) = 5/13.

The probability of the three outcomes occurring is given by:

p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366

0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

6 0
2 years ago
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative
valkas [14]
I think the answer will be D
3 0
3 years ago
Read 2 more answers
*Brainliest*<br> I need help with 4 problems like this...KHAN ACADEMY.
Sedaia [141]

9514 1404 393

Answer:

  1. (x +1)² = 4
  2. (D)  x = -1 ±2

Step-by-step explanation:

Start by getting the x-terms on one side of the equal sign. We can do that by subtracting x from both sides.

  3 = x² +2x

Now, add the square of half the x-coefficient.

  3 +1 = x² +2x +1

  (x +1)² = 4 . . . . . . . . write as a square in the desired form

__

To solve, take the square root, and add the opposite of the left-side constant.

  x +1 = ±2

  x = -1 ±2 . . . . . . matches choice (D)

5 0
3 years ago
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