Find the roots of the function f(x) = 3x4 - 48.

Answers

Answer 1

Answer:

[tex]x=\pm 2\text{ or } x = \pm 2i[/tex]

Step-by-step explanation:

We are given:

[tex]0=3x^4-48[/tex]

Factor:

[tex]0=3(x^4-16)[/tex]

Difference of Two Squares:

[tex]0=3(x^2-4)(x^2+4)[/tex]

Zero Product Property:

[tex](x^2-4)=0\text{ or } x^2+4=0[/tex]

Solve:

[tex]x^2=4\text{ or } x^2=-4[/tex]

Take the square root. Since we are taking an even-root, it requires plus/minus:

[tex]x=\pm 2\text{ or } x = \pm 2i[/tex]


Related Questions

Write an equation in point-slope form of a line that has a slope of -2 and
passes through the point (2, 3).

Answers

Answer:

y=-2x+7

Step-by-step explanation:

Please gimme brainliest!!

Answer:

y-3=-2(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-2(x-2)

what is the area of triangle DEF

Answers

Answer: 588 centimeters

Answer:

C: 588 square centimeters

Step-by-step explanation:

A= 1/2(b)(h)

base: 42

height: 28

A = 1/2(42)(28)

A = 1/2(1176)

A = 588

The line models the cost of renting a bike. It costs ​$2 per hour plus a ​$4 deposit. Write an equation in​ slope-intercept form for the line where x is the number of hours a bike is rented and y is the total cost of renting a bike. How much does it cost to rent a bike for 3 ​hours?

Answers

Answer:

Step-by-step explanation:

2 votes

ANSWER PLSSSSSS A delivery truck traveled 133 miles in 3.5 hours. What was the average speed of the delivery truck in miles per hour?

Answers

Answer:

38 Miles Per Hour

Step-by-step explanation:

133 / 3.5 = 38

Answer:

He went 38 miles on one hour.

Step-by-step explanation:

You would do the equation 133/3.5

133/3.5 = 38

A rental car agency charges $160.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $340.00?

Answers

Answer:

720 miles

Step-by-step explanation:

let 'm' = # miles you can travel for $340

340 = 160 + .25m

180 = .25m

m = 180/.25

m = 720

Please HELP will give Brainliest!!
Graph the following functions on the same set of axes for -20 < x < 21.
y= sinx
y= sin(x - 2)
y= sinx+ sin(x - 2)

Answers

Step-by-step explanation:

blue=sin x

red= sin(x-2)

green= sin x+sin(x-2)

Max is selling iPhone cases online. He offers two colors red and green. The red
cases (x) cost $10 each and the green cases (y) cost $20 each. He is trying to sell at
least $500 worth of cases each week. Create an inequality and graph it below.
Please state a combination of cases that meets his goal.
(Scale suggestion 1 box = $5)

Answers

Answer:

See below

Step-by-step explanation:

Red cases  x = $10 eachGreen cases y = $20 eachMinimum target is $500

Required inequality:

10x + 20y ≥ 500

The graph is attached

Some combinations:

50 red or 25 green or 18 of each color etc.Any combination of positive numbers in the shaded region.

Howdy;)

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Use the x-intercept method to find all real solutions of the equation.
x? - 7x2 + 4x + 12 = 0

Answers

Correct equation is;

x³ - 7x² + 4x + 12 = 0

Answer:

All the real solutions are -1, 2 and 6

Step-by-step explanation:

The x-intercept of x³ - 7x² + 4x + 12 = 0 will occur where y is zero. This is where the curve crosses the x-axis on the graph of this function.

Now, I have plotted a graph of this function and attached it.

From the attached image, the curve crosses the x - axis at the points, x = -1, x = 2, x = 6.

Therefore all the real solutions are -1, 2 and 6

Write the equation of the line in slope intercept form. Given the slope is 5 and the y-intercept is -8 (3pts)

Answers

Answer:

y=5x-8

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

Consider the function represented by 9x+3y= 12 with x as the independent variable. How can this function be written
using function notation?
flv -v+
f(x) = - 3x + 4
f(x) = - *x+
f(V) = - 3y + 4

Answers

Answer:

b) y = f(x) = -3x+4

Step-by-step explanation:

Explanation

Given that the equation   9x+3y =12

Let 'x' be an independent variable and 'y' be the dependent variable then the function is of the form

        y = f(x)

      3 y = 12 - 9x

        [tex]y = \frac{-9x+12}{3}[/tex]

      y = -3x+4

The function represented by  y = -3x+4

PLEASE HURRY I NEED THIS ANSWERED Which expressions are equivalent?

Answers

Answer:B

Step-by-step explanation:

B because 3 is still x answers are just flipped

Rosanne and Jimmy are looking to purchase a house. They found one that they like, but the inspection report showed that there was a problem. The foundation has termites. The report states that the foundation of a house has 1200 termites. The termites grow at a rate of about 2.4% each day. A. Formulate an equation in exponential form that represents the termite situation. (5 points) B. The extermination is scheduled out for one week from the date of the report. Use your equation to determine how many termites will be in the home at the time of the extermination. (5 points)

Answers

Answer:

A.P(t) = Po (1 + r)^t

P(t) = 1200( 1 + 0.024)^t

B. 1417 termites

Step-by-step explanation:

Rosanne and Jimmy are looking to purchase a house. They found one that they like, but the inspection report showed that there was a problem. The foundation has termites. The report states that the foundation of a house has 1200 termites. The termites grow at a rate of about 2.4% each day.

A. Formulate an equation in exponential form that represents the termite situation.

The formula for exponential growth or increase =

P(t) = Po (1 + r)^t

Where:

P(t) = Population growth after time t

P(o) = Initial Population = 1200 termites

r = Growth rate = 2.4% = 0.024

t = Time in days

Hence, the equation in exponential form that represents the termite situation is given as:

P(t) = 1200( 1 + 0.024)^t

B. The extermination is scheduled out for one week from the date of the report. Use your equation to determine how many termites will be in the home at the time of the extermination.

The time of extermination = 1 week

1 week = 7 days

Hence,

t = 7 days

P(t) = Po (1 + r)^t

P(7) = 1200( 1 + 0.024)⁷

P(7) = 1200(1.024)⁷

P(7) = 1416.7099449 termites

Approximately

= 1417 termites

Given the diagram below, find the value of x:



a
27.5
b
62
c
8.5
d
31

Answers

Answer:

x = 31

Step-by-step explanation:

The 3 angles in a triangle sum to 180°

Sum the 3 given angles and equate to 180

2x - 7 + 2x + 63 = 180, that is

4x + 56 = 180 ( subtract 56 from both sides )

4x = 124 ( divide both sides by 4 )

x = 31

What is the surface area, in square inches, of a prism with a length of 10 inches, a width of 7 inches, and a height of 3 inches?​

Answers

Answer:

measurement square meter

Step-by-step explanation:

thats good answer

sana po makatulong po sa inyo

po....................

help me out with this pls (multiple choice)

Answers

Answer:

45 45 90 special triangle

7√2 = √98

x² + y² = 98

x = y

x² + x² = 98

2x² = 98

x² = 49

x = 7

y = 7

ANSWER: c

How do I write a polynomial with nine roots? Do I just have to make sure I have x^9 or is that wrong?

Answers

Step-by-step explanation:

Yes, the degree of the of the polynomial will tell how much roots it has.

A linear equation with degree has one root so it only has 1 possible answer.

A quadratic equation with the degree of 2 has two possible roots.

So write a polynomial equationcwith the highest degree of 9.

Describe and correct the error in solving the following rational equation , plz help!!!!!

Answers

First of all, x cannot ever equal -1 because if it does then in the original equation you'd be dividing by 0, which is not possible. anything divided by 0 is undefined.

I think the error was in the second step: x(x+1) = 2(x+1) because they didn't need to go from the first step to there. I'm assuming they multiplied both sides of the equation with (x+1) to get rid of the fraction, but since both sides have (x+1) as the denominator the (x+1) would've cancelled out instead of multiplying with the numerator.

Correction:

[tex]\frac{x}{x+1} = \frac{2}{x+1}\\(\frac{x+1}{1}) (\frac{x}{x+1}) = (\frac{2}{x+1})(\frac{x+1}{1}) \\x = 2[/tex]

as u can see, in the second step of this correction, the (x+1)s on both sides cancel out so only the numerators remain.

Hope this helps!

One jar of spaghetti sauce is made with 2/3 of a cup of tomatoes. How many full jars of spaghetti sauce can be made with 3 cups of tomatoes?

Answers

Answer:

4

Step-by-step explanation:

2/3 for 1 jar | meaning that: 1 jar: 1 cup (1/3 left) | 1 jar: 1 cup (1/3 left) | 1 jar: 1 cup (1/3 left) | 3/3 are left, and that makes another one (the 4th one).

Slope 7; (4,-30 equation

Answers

Answer: y=7x-68

Step-by-step explanation: Ok so you would use point slope to slope so plug the points in.  y+30=7(x-4)  then if you need to convert it further into slope intercept form just simplify and distribute. So y+30=7x-28, subract 30 from both sides to get y=7x-68

Hence, the slope of line is [tex]y=7x-58[/tex].

What is the slope of line?

The slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] can be easily determined by finding the difference between the coordinates of the points.

The slope is usually represented by the letter ‘m’.

Here given that,

Slope is [tex]7[/tex] and the coordinates of [tex](x,y)=(4,-30)[/tex].

As we know slope of line is

[tex]y=mx+c[/tex]

where [tex]m[/tex] is the slope.

So,

[tex]y+30=7(x-4)[/tex]

Now convert it further into slope intercept form

[tex]y+30=7x-28\\\\y=7x-28-30\\\\y=7x-58[/tex]

Hence, the slope of line is [tex]y=7x-58[/tex].

To know more about the slope of line

https://brainly.com/question/12203383

#SPJ2

7x+3(-4x-2)=-6 how do i solve

Answers

Answer:

Step-by-step explanation:

7x+3  (-4x-2)=-6

remove the parenthesis

7x-12x-6=-6

-5x=0

x=0

How to solve your question- 7

Denzel wants to work out the density of a block of wood the block of wood is in the shape of the cuboid

Answers

Answer:

[tex]Density = 1.094g/cm^3[/tex]

Step-by-step explanation:

Given

[tex]Length = 17.7cm[/tex]

[tex]Width = 8.3cm[/tex]

[tex]Height = 13.0cm[/tex]

[tex]Mass = 2090g[/tex]

See attachment

Required

Determine the density of the wood

First, we calculate the volume of the wood.

[tex]Volume = Length * Width * Height[/tex]

Substitute values for Length, Width and Height

[tex]Volume = 17.7cm * 8.3cm * 13.0cm[/tex]

[tex]Volume = 1909.83cm^3[/tex]

The density is:

[tex]Density = \frac{Mass}{Volume}[/tex]

[tex]Density = \frac{2090g}{1909.83cm^3}[/tex]

[tex]Density = 1.094g/cm^3[/tex] --- approximated

x take away 5 is less than 8

Answers

What are you asking?

Pls help me with my homework

Answers

Answer:

NO

Step-by-step explanation:

It is a right triangle if the thee sides satisfy the following pythagorean triple rule/theorem, c² = a² + b², where,

c is the longest side = 50

a = 15

b = 49

Let's check:

50² = 15² + 49²

2500 = 2626 (this is not true).

Therefore, the triangle is not a right triangle. The answer is NO.

Emma receives a large box in the mail.The box is 10cm longer than it wide,and the height is 6 cm more than the width

Answers

Answer:

y³+16y²+60y

Step-by-step explanation:

Complete question

Emma receives a large box in the mail. The box is 10cm longer than it wide, and the height is 6 cm more than the width. Find the polynomial function for volume of the box

Let the length be x

Let the width be y

let the height be z

If the box is 10cm longer than it wide, then x = y + 10

Also if the height is 6 cm more than the width,

z = y + 6

Volume of the box = xyz

Substitute

Volume of the box = (y+10)(y)(y+6)

Volume of the box = (y+10)(y²+6y)

Volume of the box = y³+6y²+10y²+60y

Volume of the box =  y³+16y²+60y

Hence the required polynomial function is y³+16y²+60y

Note that the question asked was assumed

Uh, what's 2+2 plus 8 plus 9 plus 10take away 100

Answers

Answer:

21

Step-by-step explanation:

Answer: -69

Step-by-step explanation:

if the simple interest on $5000 for 5 years is $1500 then what is the interest rate?​

Answers

Answer:

6%

Step-by-step explanation:

Simple interest:  A = P(1 + rt)

Solve for r: r = (1/t)((A/P) - 1)

Given:

A = $1500 + $5000 = $6500

P = $5000

t = 5 yrs

r = (1/5)((6500/5000) - 1)

= (1/5)(0.3)

= 0.06

0.06 = 6%

PLZ HELP ME WITH THIS QUESTION!

Answers

Answer:

C

Step-by-step explanation:

What is the slope????

Answers

Answer:

-6

Step-by-step explanation:

is that quizzes join lol

When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?
A) 10x - 25y + 18 - 25x + 10y - 3
B) -15x - 15y + 15
C) -10x + 25y + 18 + 25x - 10y + 3
B) 35x - 35y + 21

Answers

Distribute -

(Multiplying by 0.5 is same as divide by 2)
10x-25x+18 - 25x -10y + 3
The answer is C

Answer:

D. 35x-35y+21

Step-by-step explanation:

Would the 2nd answer here be correct?

Answers

Answer:

yes (i think im not for sure)

Step-by-step explanation:

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