Mathematics High School

show that the equation x^3-3x^2+3=0 has a solution between x=2 and x=3

Answers

Answer 1

The equation has 3 solutions (determined by the degree of polynomial and non-extreme case).

If you use cubic equation to try and solve the equality you get

[tex]x_1\approx-0.88 \\ x_2\approx1.35 \\ x_3\approx2.53[/tex]

Clearly third one is in [tex](2,3)[/tex] so the statement that one solution is between 2 and 3 is true.

Hope this helps.

Related Questions

What is the value of 8m + 5n when m = 4 and n = 10?

Answers

Answer:

Step-by-step explanation:

m = 4

8m = 4 x 8 = 32

n = 10

5n = 5 x 10 = 50

32 + 50 = 82

Erik used the Factor Theorem to find the remainder of 2x3-4x2-28x+6 divided by x+3. If he calculated the remainder to be 0, what does that tell him?

Answers

Step-by-step explanation:

x + 3 = 0

x = - 3

f(x) = 2x³ - 4x² - 28x + 6

f(- 3) = 2(- 3)³ - 4(- 3)² - 28 x (- 3) + 6

= 2 x (- 27) - (4 x 9) + 84 + 6

= - 54 - 36 + 90

= - 90 + 90

= 0

Therefore,

x + 3 is factor of 2x³ - 4x² - 28x + 6

Can anyone answer this?

Answers

Answer:

n= 6. hope this helped as I tried my best.

Step-by-step explanation:

2³ × 2^n = 2⁹

Will Give brainliest if correct!
Jamin wants to paint a wall in his bedroom. In order to know how much paint to buy, he first needs to know the approximate area. There is a window in the middle of the wall, so he'll only need to paint the shaded part shown. How many square feet is just the window? [Note: The wall and window are both rectangular.]

7 ft 2
1.5 ft 2
36 ft 2
3 ft 2

Answers

Answer:

247.5 ft

Step-by-step explanation:

36 x 7 = 252

3 x 1.5 = 4.5

252-4.5= 247.5 ft

Answer:

3 ft^ 2

Step-by-step explanation:

mark me brainy plz and thank u

Help me ASAP!!!!!!!!!!!!!!!

WINNER GETS THANKS, STAR RATING OF EXCELLENT AND BRAINLIEST!!!!!!!! Good luck!

Answers

Answer:

reciprocal of 5 is 0.2.

hope it helps you

please help and do problems 6, 7 and 8 for me thank you :)

Answers

Use formula : Y-y1=m(x-x1)
(x1,y1) = the points given in each situation

6. Y-0=1(x-2)
Y=x-2 or x-y-2=0

7. Y-(-1)= -1/3(x-(-3))
Y+1= -1/3x + 1
3y=-x or x+3y=0

8.Y-4=3(x-5)
Y-4= 3x - 15
Y=3x -11 or 3x-y-11=0

A box holds three circular flower pots, each with the same diameter. What is the exact area of the base of one pot? Show your work.( the length of the box is 15 in.)

Answers

19.635 square inches.

Assuming that the pots are arranged in a straight line, each pot would have a diameter of 5, because 5 • 3 = 15, and 15 is the length of the box. The radius of the base of one pot is therefore 2.5.
A = pi • r^2 = pi • 2.5^2 = 19.635 (approximation)

Please help me out, please ill mark you as brainliest if you get this correct.

Answers

1. width= 23.8ft
height= 27.3ft
area= 650 sq ft
2. width= 25.8ft
height= 26.4 ft
area= 681 sq ft

solve each equation:

Answers

1.) x=-9 because
2.) x=16

1. -6
I have no idea for 2

What is the next term of the geometric sequence?
135,45,15,?

Answers

Answer:

Step-by-step explanation:

135/3 = 45

45/3 = 15

15/3= 5

hope this helps! please mark brainliest :)

I need help with this question

Answers

Answer and Step-by-step explanation:

What the question is asking is that it wants you to make the equation show equal to n.

We can do that by dividing both sides by RT, to get n by itself.

[tex]PV = nRT\\\\\\\frac{PV}{RT} = n[/tex]⇔ This is the answer.

#teamtrees #PAW (Plant And Water)

PLS DO BOTH PROBELMS

Answers

1.) 510 miles

Take the values you have been given which is 153 miles and 3 gallons of gas

Now divide 153 by 3 to find put the Miles per gallon (MPG)

153/3=51

now take 51 and multiply it by 10

51x10=510

2.) $16 per yard of plywood

Let's take the values we have been given

3/4 of a yard of plywood and $12 for it

Now let's divide it

12/ 3/4=$16

64,000 km in 2 hours. Express its speed in m/s.

Answers

Answer: 5.5m/s

Explanation:

please answer

A number line is shown below. The numbers 0 and 1 are marked on the line, as are the two other rational numbers a and b

Will a - 1 be positive or negative? explain.

Answers

Answer:

I think it will be positive.

Step-by-step explanation:

Anything that is on the right hand side of the number line is always positive.

Help me on this pleaseeee

Answers

Answer:

Step-by-step explanation:

14.4

help please number 7!! it’s using the pythagorean theorem

Answers

Do 16 divided by 22 if I’m not wrong

Victoria and Georgetown are 67.2 miles from each other. How far apart would the cities be on a map that has a scale of 0.9 inches : 10.5 miles?

Answers

Answer: 5.76 miles

Step-by-step explanation:

Let the distance between Victoria and Georgetown on the map be represented by x.

The information given in the question can then be formed into an expression which will be:

0.9/x = 10.5/67.2

Cross multiply

(10.5 × x) = 67.2 × 0.9

10.5x = 60.48

x = 60.48/10.5

x = 5.76

The answer is 5.76 miles

can someone help ill give more points

Answers

The answer is 6!!!!!!!!!

What is the average speed in mph of a car that travels 290miles in 3 hours and round to the nearest 2dp

Answers

96.67 mi/hr

290/3≈96.666

Solve: 5 + x = 3( x - 7) + 6

Answers

Answer:

x=10

Step-by-step explanation:

5+x=3(x-7)+6

5+x-3x+21-6=0

-2x+20=0

-2x=-20

x=-20/(-2)

x=10

Due today! 20 points!

1. The fifth term of an arithmetic sequence is 9 and the 32nd term is -84. What is the 23rd term?

2. How many terms of the arithmetic sequence 88, 85, 82, . . . appear before the number -17 appears?

Please number the answers

Answers

Answer:

Consider the finite arithmetic sequence,

Use the explicit formula for an arithmetic sequence,

...... (83.84.94.92.91.100

First term of the sequence is

Answer:

1. -53

2. 35 terms

Step-by-step explanation:

find the value of x

Answers

Answer:

Let the length of missing side x.

x^2 = 16^2 + 30^2

x^2 = 1156

x = √1156

x = 36

Step-by-step explanation:

Hope it is helpful....

Answer:

Step-by-step explanation:

x ² = 16² +30²

x ² = 1156

x = √1156

x =34

Can you guys please help me please

Answers

Answer:

HF and EG

Step-by-step explanation:

Perpendicular means they make a 90 degree angle, so in the middle you see the 90 degree angle sign which means those two segments are the ones that are perpendicular to each other

What is 12x + 5 = 6x + 17

Answers

Answer:

x=2

Step-by-step explanation:

PLS HELP Select all the expressions that represent the total area of this rectangle.

Answers

It is going to be Answer D

Milan runs each lap in 4 minutes. He will run at least 28 minutes today. What are the possible numbers of laps he will run today?
Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.

Answers

Answer:6n+4=28

n=6

I think this is how you do it.

The table represents a linear function. Write a rule for this function in the
form of y = mx + b. Then using your function rule find the missing output values.

Answers

Answer:

function is f(x) = x+6

and the missing outputs are 19, 24 and 27

The overnight low temperature in Cassidy City was -27 Fahrenheit. The overnight low temperature in Shakerville was -6 Fahrenheit. How much warmer was shakerville than Cassidy City?

Answers

Answer:

Shakerville 21° warmer

Step-by-step explanation:

-27 + -6 = 21

Help me please!!! Whats the length for w?

Answers

Answer:

(The second option) sin40° = w / 28

Step-by-step explanation:

sin40° = opposite / hypotenuse

sin40° = w / 28

Son=40 hope this helps

A line passes through the points (4, -18) and (1, 3). What is its equation in slope-intercept
form?

Answers

Answer:

The slope intercept form is y= 7x -4

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