8x^3-27=0 how do I solve this



Answers

Answer 1
Answer: 8x^3 - 27 = 0
x^3 -27 = 0
x^3 = 27
x = 3

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A wheel has a radius of 15 cm. Approximately how far does it travel in 4 revolutions?47.1 cm


94.2 cm


188.4 cm


376.8 cm

Answers

Radius is 15 cm
Circumference = 2 pi r
C = 2 x 3.14 x 15cm
C = 94.2 cm
94.2 cm x 4 (revolutions) = 376.8 = D

Solve Quadratic Equations by Factoring: Solve by factoring and using the Zero Product Property:
1. 2x^2+3x-5=x^2+4x-5
2. 16x^2+5=4
3. X^2+45=20-10x
WILL MARK BRAINLIEST!!

Answers

Answer:

  1. x = 0 or 1
  2. x = ±i/4
  3. x = -5 (twice)

Step-by-step explanation:

Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.

1. x^2 -x = 0

  x(x -1) = 0 . . . . . x = 0 or 1

__

2. 16x^2 +1 = 0

This is the "difference of squares" ...

  (4x)^2 - (i)^2 = 0

  (4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)

__

3. x^2 +10x +25 = 0

  (x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2

An automobile manufacturer wants to find out what types of product-related problems its customers are experiencing. The best method to gather the data is

Answers

Data collection involving the types of product-related problems a manufacturer's customers are experiencing is more suitable to make use of qualitative data collection. This is because the type of data you are interested in is more subjective and open-ended. The best method to gather the data is through survey/questionnaire.

Answer: a survey

Step-by-step explanation:

Which of the following is the function representing the graph below?

Answers


You need to pick a point on the graph, then go through the list of choices
and see which one can produce the point you picked.

Look at the point on the graph right above the origin, where the graph
crosses the y-axis.  At that point, x=0 and f(x) (or 'y') = 1 .

Now look at the choices, one at a time, and see whether  (0, 1)  fits.
I'll start at the bottom of the list:

-->  f(x) = 4^(x-3)
When x=0, f(x) = 4^(-3) .
4^(-3) is not '1', so our point is not on this f(x).

-->  f(x) = 4^x + 3
When x=0, f(x) = 4⁰ + 3  =  1 + 3  =  4
'4' is not '1', so our point is not on this f(x).

-->  f(x) = 4^x - 3
When x=0, f(x) = 4⁰ - 3  =  1 - 3  =  -2
'-2' is not '1', so our point is not on this f(x).

(Only one choice left.)

--> f(x) = 4^x
When x=0, 4^x = 4⁰  =  1
That's it !  Our point is on this f(x).
Which is lucky, because we were out of choices.


Graph the function f(x) = x4 − 7x3 + 12x2 + 4x − 12 using graphing technology and identify for which values of x the graph is increasing.

Answers

we have

f(x) = x^(4) - 7x^(3) + 12x^(2) + 4x - 12

The options of the question are

A. X:-3 to x:-2

B.x:-2 to x:-1

C. X:1 to x:2

D. X:2 to x:3

Using a graph tool

see the attached figure

The graph is increasing in the interval (-0.15,2) and the interval (3.4, ∞)

The graph is decreasing in the interval (-∞, -0.15) and the interval (2,3.4)

therefore

the interval (1,2) is included in the interval (-0.15,2)

the answer is the option

C. X:1 to x:2

Answer:

Value of x is increasing between -0.147<x<2 and x>3.397

Step-by-step explanation:

Given : Function f(x)=x^4-7x^3+12x^2+4x-12

To find : For which values of x the graph is increasing.

Solution :

We have plot the graph of the given function  f(x)=x^4-7x^3+12x^2+4x-12

The graph is attached below.

We see that the value of x is increasing from the interval

A- (-0.147,-12.306) to (2,4)

B-  (3.397)  to (\infty)

Which means x value is increasing between

-0.147<x<2 and x>3.397

Your test grades in math this semester are 96, 100, 72, and 85. Find your mean grade. This is mean median and mode. A) 90.75 B) 88.25 C) 86.50 D) 84.00

Answers

B. 88.25

To find mean, you need to add all numbers given, then divide by the amount of numbers you have, therefore:

96 + 100 + 72 + 85
353

353 / 4

88.25