In factored form please help

In Factored Form Please Help

Answers

Answer 1

Answer:

3rd option

Step-by-step explanation:

[tex]\frac{3x^2-3}{x^2-5x+4}[/tex] ( factorise numerator and denominator )

3x² - 3 ← factor out 3 from each term

= 3(x² - 1²) ← x² - 1 is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

x² - 1

= x² - 1²

= (x - 1)(x + 1) , then

3x² - 3 = 3²(x - 1)(x + 1) ← in factored form

--------------------------------

x² - 5x + 4

consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)

the factors are - 1 and - 4 , since

- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then

x² - 5x + 4 = (x - 1)(x - 4)

then

[tex]\frac{3x^2-3}{x^2-5x+4}[/tex] = [tex]\frac{3(x-1)(x+1)}{(x-1)(x-4)}[/tex] ← in factored form


Related Questions

Find dy/dx (the derivative ) of f(x) = 4x
2
using
limits definition of the derivitive (of limit of the
DQ when h­­> 0
Formulas needed
a) Equation of a line in slope­yintercept form y = f(x) = mx + b
b) Equation of a line slope­point y ­ y1 = m (x ­ x1)

Answers

Derivative are used to determine the nature of a function. The derivative of the function f(x) = 4x^2 is 8x

Derivative of a function

The formula for finding the derivative of a function is expressed as:

f'(x) = nax^n-1

Given the function expressed as:

f(x) = 4x^2

We are to find its derivative as shown:

f'(x) = 2(4)x^2-1
f'(x) = 8x^1 = 8x

Hence the derivative of the function f(x) = 4x^2 is 8x

Learn more on derivative here: https://brainly.com/question/416343

Can I? I really need your help, b'coz, I can't understand how to solve it. ​

Answers

Answer:

See below ~

Step-by-step explanation:

1. D. cylinder

2. A. pyramid

3. E. rectangular prism

4. C. cone

5. F. cube

find the surface area of each shipping package. Which package has the greater surface area? Does the same package have a greater volume?
package A: 14 x 12 x 3
package B: 11 x 6 x 8

Answers

Answer:

greater area: Ano, B has the greater volume

Step-by-step explanation:

The relevant area and volume formulas are ...

  A = 2(LW +H(L +W))

  V = LWH

When there are multiple instances of the calculations to be done, it is convenient to let a spreadsheet do them. The results are attached.

Figure A has the larger area.

Figure B has the larger volume.

__

Additional comment

The more "cube-like" the prism is, the less area it will have for the same volume. Here, package B is more "cube-like" than package A. (The ratio of largest-to-smallest dimensions is smaller for package B.)

Ben spent 1/6 of his money on a burger, fries, and a drink. Then he spent half of the money he had left: $5 on a magazine, $8.25 on a bookmark, and $10.50 on a book. How much money did he have to begin with?


Please answer asap and please explain your answer.

Answers

The amount of money Ben had to begin with after spending 1/6 and 1/2 of it is 57 dollars.

How to find the how much money he had with an equation?

let

x = amount he had to begin with

He  spent 1/6 of his money on a burger, fries, and a drink. Therefore,

amount spent on burger, fries, and a drink = 1  / 6 x

Hence,

amount he had left = x - 1 / 6 x =6x - x /6 = 5 / 6 x

Then he spent half of the money he had left.

1  / 2(5  /6 x) = 5 + 8.25 + 10.50

5 / 12 x = 23.75

cross multiply

5x = 23.75 × 12

5x = 285

divide both sides by 5

x = 285 / 5

x = 57

Therefore, the amount of money he have to begin with is $57.

learn more on equation here: https://brainly.com/question/5718696

Answer:

$57

Step-by-step explanation:

10.50 - 7.50 = 3

3 x 19 =57

$57

I NEED THIS ANSWER ASAP

base twelve needs 12 digits so we use "t" for ten and "e" for eleven and our usual ten digits.* what base ten number does 1t5e represent?

Answers

Answer:

65

Step-by-step explanation:

t = 10

e = 11

10 + (11*5)

65

Find the equation of a line parallel to y=4x+2 that contains the point (−2,−3). Write the equation in slope-intercept form.

Answers

Answer:

y = 4x + 5

Step-by-step explanation:

Use point-slope formula to plug in the known point and slope.

Identify and correct the error. B 50° A 50​

Answers

Answer:

30 degrees

this is a guess but an educated one because the total angle adds up to 180 deg so one i assume is around 100 plus 50 plus 30 makes sense

Use appropriate property and find -1/6×4/7+1/2-3/7×1/6​

Answers

Answer:

1/3

Step-by-step explanation:

Multiply left to right, so you start with -1/6*4/7=-2/21

Then you apply the fraction rule so -1/6*4

and 4 can be expressed by 4/1 so -1/6*4/1=-2/3

Then after solving you will get -4/6

then you factor 4=2*2 what will be -2*2/6

Then you cancel the common factors what are 2

so you bring back the 7 so -2/3/7 and 7 can be expressed as 7/1 and then you apply the fraction rule and flip it to 1/7 what will be solved as -2/21

so then it will be -2/21+1/2-1/14-3/7*1/6

Then you will have to solve -3/7*1/6 what is 1/14

so -2/21+1/2-1/14=1/3 final equation

Answer:

Step-by-step explanation:

Have a great day✧◝(⁰▿⁰)◜✧

Find the area and circumference of each shaded sector. Use 3.14 for . Round to the
nearest tenth.

Answers

Answer:

Area = 226.1 ft^2

and circumference = 61.7 ft.

Both to the nearest tenth.

Step-by-step explanation:

The area of shaded part

= 1/2 *3.14 r^2

= 1/2 * 3.14 * 12^2 = 226.1 ft^2.

Circumferences of the shaded part = diameter + length of the semicircle

= 2 *r + 3.14 * r

= 2*12 + 3.14 * 12

= 61.68 ft.

Write the algebraic expression that matches each graph.

Answers

Answer:

f(x) = |x - 2| - 2

Step-by-step explanation:

Based on the shape of the graph, it's an absolute value function.

so the template for it is f(x) = |x|

From there, you can make some additions to show how much the graph has shifted from the template equation

since the graph went over to the left by 2 units and down by 2 units, this is added into the equation as follows:

f(x) = |x - 2| - 2

Which table shows a data o for an antenna that revolves at exactly twice the rate of the antenna described in the graph?

Answers

The table shows a data for an antenna that revolves at exactly twice the rate of the antenna described in the graph is Table D.

How to illustrate the rate?

The formula to calculate the rate will be:

= Change in revolution/Change in time

The rate of the given antenna will be:

= (60 - 30)/(4 - 2)

= 30/2

= 15

Also, the rate of antenna 1 is 23, antenna 2 is 25, antenna 3 is 2. The rate for antenna 4 will be:

= (720 - 660)/(24 - 22)

= 60/2

= 30

It can be seen that 30 is double of 15.

Therefore, table D revolves at exactly twice the rate of the antenna.

Learn more about rate on:

https://brainly.com/question/2375289

Solve for the missing components

Answers

4) Angle A= 42 degrees
Side B= 48 degrees
Side C= 90 degrees, automatically seen by the square

5) Angle B= 53 degrees
Side A= 37 degrees
Side C= 90 degrees, being a right angle

All right triangles equal to 180 degrees, in which those answers do for each problem.

Which unit could be used to measure the capacity of a kitchen pot? O a) kilograms b) quarts c) pounds​

Answers

Answer:

a

Step-by-step explanation:

pounds because all will measure with it only even shop keepers........................................

PLEASE HELP NOW
HURRY

Answers

Answer:

13

Step-by-step explanation:

we us the pythagorean theorem

sqrt( 144 + 25) = 13

A boat travels 1/5 of a mile on 7/9 gallon of gas. How many miles can the boat travel on 1 gallon of gas

Answers

Answer:Since we know the boat uses 25 gallons of gas per 64 miles, we can divide 64 miles by 25 gallons to get the rate of gallons per hour.

64 ÷ 25 = 2.56 gallons of gas every hour.

Using this information, we can multiply the amount of gas used for one hour, 2.56 gallons, by the 125 gallons of gas that the problem suggests, 125, to find the number of miles the boat can travel on the amount of gas.

2.56 x 125 = 320 miles

Answer: The boat can travel 320 miles on 125 gallons of gas.

CAN SOMEONE PLEASE HELP ME WITH THIS

Answers

Answer:

7a is not a factor because it doesnt divide into anything.

7a is not a term because it is not only the variable.

3 is a constant because it is a number in the expression.

7a is not a coefficient because it is not just the number.

8b and 5b are like terms because they have the same variables.

None of these are true Thats false because some of the answers are right

can you help me to solve this problem

g ( t ) = | t | - 3 ; find g ( 3 ) , g ( -5 ) , and g ( 0 )

Answers

Answer:

g(3) = 0. g(-5) = 2. g(0) = -3

Step-by-step explanation:

simply put whatever is inside the brackets, into where t is in the equation

e.g:

|t| - 3 for g(3) is: |3| - 3 = 0

the two lines around t just mean that whatever is inside you should always turn positive. so |-1| = 1 and |-3 + 1| = 2

22points) what’s 1+1?
A=1
B=2
C=-2
D=11
E=21
F=77
G=I don’t know

Answers

Step-by-step explanation:

1 plus 1 equals 2

It's addition so u just add

1 + 1 = 2

Pls mark me brainiest

What is the value of the expression.
20 + 12 ÷ 1/4 x 3

Answers

29 cuz order of operations. 12 divided by 1/4 is 3, 3 times 3 is 9, and 9 plus 20 is 29

Answer:

164

Step-by-step explanation:

[tex]20 + 12 \div \frac{1}{4} \times 3 \\ \\ = 20 + 12 \times 4 \times 3 \\ \\ = 20 + 144 \\ \\ = 164[/tex]

You are designing a triangular pennant for your school. If you have only 117 square inches of fabric and you want the pennant, when suspended from its base, to hang down 18 inches, what must the length of the
base be?

Answers

Answer:

13 inches

Step-by-step explanation:

Area of fabric : 117 square inchesHeight : 18 inches

Base x Height x 1/2 = Area (Fabric)Base x 18 x 1/2 = 117Base x 9 = 117Base = 13 inches

Answer:

The base must be 13 inches

Step-by-step explanation:

Step 1:  Determine the length of the base

[tex]A = 1/2 * b * h[/tex]

[tex]117\ in^2 = 1/2 * b * 18\ in[/tex]

[tex]117\ in^2 = 9\ in * b[/tex]

[tex]\frac{117\ in^2}{9\ in} = \frac{9\ in * b}{9\ in}[/tex]

[tex]13\ in = b[/tex]

Answer:  The base must be 13 inches

In which type of circuit can you find total resistance by adding all of the individual resistances?

Answers

Answer:

Series Circuit

Step-by-step explanation:

In a series circuit, the total resistance is equal to the sum of all resistances.  Hope this helps u out!

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER

Answers

[tex]\bold{FULL ANSWERS:}[/tex]

Answer:

<1= 68 degree

<2= 112 degree

<3= 68 degree

<4= 112 degree

<5= 68 degree

<6= 112 degree

<7= 68 degree

<8= 112 degree

Step-by-step explanation:

steps in the image-

Solve for t. Please help asap!

Answers

Answer:

The answer is B.

[tex]t=+\sqrt{\frac{d-3}{a} } , -\sqrt{\frac{d-3}{a}[/tex]

Step-by-step explanation:

[tex]d=3+at^2\\\\d-3=at^2\\\\\frac{d-3}{a}=t^2\\\\ t=+\sqrt{\frac{d-3}{a} } , -\sqrt{\frac{d-3}{a} }[/tex]

2x - 8 + 3x + 2 = 4x + 10 + 3x - 6

Answers

Answer:

x = 10/-6 or 5/-3

Step-by-step explanation:

2x - 8 + 3x + 2 = 4x + 10 + 3x - 6

x - 6 = 7x + 4

+6            +6

---------------------

x = 7x + 10

-7x  -7x

---------------------

-6x = 10

x = 10/-6 or 5/-3

I hope this helps!

Use a net to find the surface area of the prism.

Answers

Area=736cm squared /))/)/)

A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape. (a) What is the probability that both grapes are green? (b) What is the probability that Henry eats a red grape then a green grape?

Answers

Answer:

A. 28/253

B. 60/253

Step-by-step explanation

A. first step is to add all the grapes up which = 23

then you would put the

green grapes/ the total which would be 8/23

since henry ate one grape you would subtract 8-1 and then 23-1 and you would get 7 and 22

then you would put 7/22 and multiply 8/23 which gets you 28/253

B. first you put red grapes over total grapes which are 15/23

then,

you would do the green grapes which are 8/22

you would multiply 15/23 and 8/22 which = 60/253

What is the value of 14 × 10,000?

140

1,400

14,000

140,000

Answers

Answer:

140000

Step-by-step explanation:

Hewo Yuri-san here Allow me to help! :3

Answer:

-140,000

Step-by-step explanation:

Here's a trick I learned in 5th grade.

You see all the zero's behind the number 10,000 just add them onto the back of the number you're mutliplying with and it gives you the answer.

In this case, we have the number 10,000 with 4 zero's and we're going to add that to the back of 14 which gives us the answer 140,000  And they both have 4 zero's. :)

Therefore, the answer is 140,000

Hope this Helps!

Have a great day!

-Yuri-san

I log 25 - 2log 3 2 - 2log3 + log 18 10​

Answers

Step-by-step explanation:

1 log 5² - 2 log 2⁵ - 2log3 + log 18 10

= 2log 5 - 10log2 - 2log3 + log 18 10

A factory’s production is modeled by function f(x) where f(x) is the number of parts produced per hour and x is the number of people working during production choose the ordered pair that represents a posible domain and range of the function

Answers

Answer:

5,10

Step-by-step explanation:

this is the answer



A doughnut shop made 32 chocolate doughnuts one morning. The chocolate
doughnuts were 40% of the total number of doughnuts made that morning. How
many doughnuts were made, in all?
3

Answers

80 donuts were made

i hope this helps !

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