I need help with this problem please and thank you

I Need Help With This Problem Please And Thank You

Answers

Answer 1

a) [tex]x^5-x^3[/tex]

[tex]x^3\left(x^2-1\right)[/tex] ........take out x³

[tex]x^3\left(x+1\right)\left(x-1\right)[/tex] ......separated (x²-1)

b) [tex]3x^2-75[/tex]

[tex]3\left(x^2-25\right)[/tex] ........took out 3.

[tex]3\left(x+5\right)\left(x-5\right)[/tex]  .......separated (x²-25)

c) [tex]3x^5y+4x^4y-5x^2y[/tex]

[tex]x^2y\left(3x^3+4x^2-5\right)[/tex] ............takeout x²y at the front.

d) [tex]81x^3-125[/tex]

[tex]81x^3-125[/tex] ......cannot be factorised much more further.

Answer 2

Solution:

Part - A:

To factor a polynomial, take out the factors of each term outside of the brackets. The terms of this expression are divisible by x⁴ (GCF), which can factorize completely. This will subtract 4 from the exponents.

=> x⁵ - x³=> x⁴(x - 1)

Part - B:

To factor a polynomial, take out the factors of each term outside of the brackets. The terms of this expression are divisible by 3 (GCF), which can factorize completely. This will divide 3 from the terms.

3x² - 753(x² - 25)3(x + 5)(x - 5)

Part - C:

To factor a polynomial, take out the factors of each term outside of the brackets. The terms of this expression are divisible by x²y (GCF), which can factorize completely.

3x⁵y + 4x⁴y - 5x²y=> x²y(3x³ + 4x² - 5)

Part - D:

Unfortunately, this expression can't factor with rational numbers. The expression results in 81x³ - 125.


Related Questions

Expand and simplify this equation plz, 4(3x+5) - 5(8x+2)

Answers

[tex]4(3x + 5) - 5(8x + 2) \\ 12x + 20 - 40x - 10 \\ 12 x - 40x + 20 - 10 \\ - 28x + 10[/tex]

Make d the subject of the formula h=d/3 +2

Answers

Answer:

d =3h - 6

Step-by-step explanation:

[tex]h = \frac{d}{3} + 2 \\ \\ \implies \: 3h = d + 6 \\ \\ \implies \: 3h - 6= d \\ \\ \implies \: \huge \: d = 3h - 6 \\ \\ [/tex]

The difference between two numbers is 10 and their sumis four times the smaller number. Find the two numbers.

Answers

Answer:

5 and 15

Step-by-step explanation:

15+5=20

5x4=20

can someone please help me with this

Answers

Answer:

m∠Q = 121°

m∠R = 58°

m∠S = 123°

m∠T = 58°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Create an expression for the sum of all the angles and equate it to 360, then solve for x:

      ∠Q + ∠T + ∠S + ∠R = 360

⇒ 2x + 5 + x + 2x + 7 + x = 360

⇒ 6x + 12 = 360

⇒ 6x = 360 - 12 = 348

⇒ x = 348 ÷ 6 = 58

So now we know that x = 58, we can calculate all the angles:

m∠Q = 2x + 5 = (2 x 58) + 5 = 121°

m∠R = x = 58°

m∠S = 2x + 7 = (2 x 58) + 7 = 123°

m∠T = x = 58°

A student graphed f(x) = x and h(x) = f(x + 5) on the same coordinate grid. Which statement describes how the graphs of f and are related? helpppp

Answers

Answer:

Here we have a problem with translations, where we define a translation as an operation that moves the graph of a function in a given direction.

We will see that the correct option is A.

"The graph of f is shifted 3 units up to create the graph of g."

To get this, we first need to describe vertical translations.

For a function f(x) we define a vertical translation (or vertical shift) of N units as:

g(x) = f(x) + N

If N is positive, the translation is upwards

if N is negative, the translation is downwards.

So here we have:

g(x) = f(x) + 3

So we can see that this is a translation of 3 units upwards, then the correct option is A, the graph of f(x) is shifted (or translated) 3 units up to greater the graph of g(x).

And the graphs of g(x) = x + 3 and f(x) = x can be seen below, where you can see this, where the grey line is g(x).

Step-by-step explanation:

What is the nth term in algebra?

Answers

The nth term of an arithmetic sequence is given by:—

an = a + (n – 1)d

So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula

will stopped by the grocery store for his wife he bought a pizza for 5.99 and 3 avacodos his total was 8.54 write an equation to find the cost if each avacodo

Answers

Answer:

each avocado is 0.85 cents

Step-by-step explanation:

you will subtract  $8.54 and $5.99 and you will get $2.55 then, when you get that and you will divide $2.55 by 3 and the total will come out to 0.85 so that means that each avocado is 84 cents

Find the ratio of 30 minutes to 15 hours. method needed.

Answers

Answer:

2.1

Step-by-step explanation:

Here we will simplify the ratio 30:15 for you and show you how we did it.

To simplify the ratio 30:15, we find the greatest common divisor of 30 and 15, and then we divide 30 and 15 by the greatest common divisor.

The greatest common divisor that you can use to simplify 30:15 is 15. Which means the answer to ratio 30:15 simplified is: 2.1

How many significant figures are in the measurement 1. 050 L? a. 1 b. 2 c. 3 d. 4.

Answers

Answer:

C) 3

Step-by-step explanation:

The number of significant figures in a measurement basically means how many decimal digits there are after the decimal point. Since the decimal portion of the measurement is 050, there are 3 digits, so there are 3 significant figures in the measurement

Really need help and ALL CAPS NO SPACES

Answers

Step-by-step explanation:

1. [tex]x+6 + 3x + 2 + 2x + 4[/tex]

Combine Like Terms:

Answer: [tex]6x+12[/tex]

G

2. [tex]6x + 4 + 7x + 1 + 5x + 7[/tex]

Combine Like Terms:

Answer: [tex]18x+12[/tex]

B

3. [tex]4x-3 + 3x + 5x - 6[/tex]

Combine Like Terms:

Answer: [tex]12x-9[/tex]

I

4. [tex]6x - 8 + 3x + 7 + 5x - 3[/tex]

Combine Like Terms:

Answer: [tex]14x-4[/tex]

H

Your code is, GBIH

The graph represents a map where each unit is 0.75 miles. Use the map to answer the question. Round to the nearest hundredth, if necessary.

How many miles is the most direct path from Jim's house to the mall?

(HINT: That means when you get the length of what they're asking for, you're going to multiply it by 0.75.)

Answers

Answer:

Try 11.25 miles

Step-by-step explanation:

Show and explain how you will estimate the answer to the problem 4 3/8 + 5 6/10. • Explain in sentence form. Find the estimated answer to the problem.


no links pls this is important im also timed

Answers

Answer:

4 (3)/(8) + 5(6)/(10)

Step-by-step explanation:

4 3/8= 35/8

5 6/10 = 28/5

= 9 39/40

Answer:

did yall ever find the answer

Step-by-step explanation:

4. If they make $404,300, how many tickets have they sold?​

Answers

Answer:

Hello again, as I said in your previous question, I don't have any other information to possibly answer this. They must have sold a lot of tickets to get that much money. How many people bought the tickets? How much does one ticket cost?

Hope this helped, please provide more information next time to properly answer you :)

the outer diameter of a spherical shell is 10 cm and the inner diameter is 9 cm . find the volume of the metal used in the shell​

Answers

Three-dimensional objects

the outer diameter: 10 cm, r₁ = radius = 5 cm

the inner diameter: 9 cm, r₂ = 4.5 cm

volume of metal:

[tex]\tt =\dfrac{4}{3}\pi(r_1^3-r_2^3)\\\\=\dfrac{4}{3}\pi(5^3-4.5^3)\\\\=141.952\:cm^3[/tex]

Select the outlier in the data set.
then
If the outlier were removed from the data set, would the mean increase or decrease?

Answers

Answer:  Increase

====================================================

Explanation:

The set of given numbers sorts to this

11, 50, 72, 78, 80, 81, 85, 89, 94, 96, 97, 98

The majority or main cluster of the values are between 50 and 98. The outlier 11 is off on its own pretty far from the main cluster.

Let's find the mean of every value in this set. If you added up all the numbers, then you should get 931. Divide this over the number of values (12) and the mean of this set is roughly 931/12 = 77.5833

Now let's kick out the outlier 11. The 931 will drop to 931-11 = 920. Divide that new smaller sum over the 12-1 = 11 items left to get 920/11 = 83.6364 approximately.

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

To summarize so far:

old mean = 77.5833 approximatelynew mean (removed outlier) = 83.6364 approximately

We see that the mean has increased. This is because the outlier was pulling down on the mean to make it smaller than it should be. Once the outlier is out of the picture, the new mean will increase and better represent the center of the main cluster.

The three sides of AJKL
measure 11.2 feet, 21 feet, and
23.8 feet. IS AJKL an acute,
right, or obtuse triangle?

Answers

Answer:

  right triangle

Step-by-step explanation:

I find it convenient to answer questions like this by computing a "form factor" that subtracts the square of the long side from the sum of the squares of the shorter sides. The sign of this value is the sign of the cosine of the largest angle in the triangle.

  f = a² +b² -c²

  f = 11.2² +21² -23.8²

  f = 125.44 +441 -566.44 = 0

The cosine of the largest angle is 0, so that angle is 90° and the triangle is a right triangle.

16
Given the circle,
M
X
80°
4
ү°
A
25°
2
N
8
What is the value of y?
y=
degrees

Answers

Answer: the asnwer is 80 degrees

Step-by-step explanation:

Paulo has R$45.00 and Carlos has 5/9 of that amount. How many Carlos has? How many do the two have together?​

Answers

Paulo has R$45.00 and Carlos has 5/9 of that amount. How many Carlos has? How many do the two have together?

We are given –

Paulo has R$45.00 and Carlos has 5/9 of that amount.

We are asked to find, how much Carlos owns and how much they have together.

Explanation :-

At first, we just need to multiply 45 by 5, and then we will divide the value by 9, so we find that:

[tex]\qquad[/tex][tex] \bf \longrightarrow 45 \times 5 = 225[/tex]

[tex]\qquad[/tex][tex] \bf \longrightarrow \dfrac{225}{9} = 25[/tex]

Therefore, we find that Carlos has 25 R$.

Now to find out how much they have together. We have to add Paul's amount to Carlos' amount for that.

[tex]\qquad[/tex][tex] \bf \longrightarrow 25 + 45 = 70[/tex]

Henceforth, they both have 70 R$. together.

Marta sells Sue Ann Cosmetics and gets
20% commission on all her sales. Last
month, she sold $560.00 worth of
cosmetics. How much was her
commission?





Please help it’s urgent

Answers

Answer: $112

Step-by-step explanation:

o get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 560 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 560 is 100%, so we can write it down as 560=100%.

4. We know, that x is 20% of the output value, so we can write it down as x=20%.

5. Now we have two simple equations:

1) 560=100%

2) x=20%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

560/x=100%/20%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 20% of 560

560/x=100/20

(560/x)*x=(100/20)*x       - we multiply both sides of the equation by x

560=5*x       - we divide both sides of the equation by (5) to get x

560/5=x

112=x

x=112

now we have:

20% of 560=112

Please help meeee (1 image)

Answers

the first one is 42 but not sure how to answer the second one

The Statue of Liberty is approximately 300 feet high, including the base upon
which the statue stands. If the base is 150 feet high, what percent of the total
height is the statue itself?

Answers

Answer:

The state itself is 50% of the total height.

Explanation:

Well, if the height including the base is 300 ft, that'd mean the total height of the statue itself is (300-150) ft = 150 ft.

Thus, it is (150/300)*100% = 50% of the total height.

-15 equals an unknown number
tripled.

Answers

Answer:

The unknown number is -5

Step-by-step explanation:

Let n represent the unknown number then...

3n=-15

Divide both sides by 3

(3n)/(3)=(-15)/(3)

n=-5

may someone help me with this pls

Answers

Answer:

PQRS - a parallelogramGHJI - not necessarilyRSUT - a parallelogramABDC - a parallelogram

Step-by-step explanation:

A parallelogram has these characteristics that can be useful for answering this question:

opposite sides are the same lengthopposite sides are parallelthe diagonals bisect each other

__

PQRS

Opposite sides are the same length: a parallelogram

__

GHJI

Two isosceles triangles share a base segment. Not necessarily a parallelogram.

__

RSUT

The diagonals bisect each other: a parallelogram

__

ABDC

Opposite sides are parallel: a parallelogram. We know BD║AC from the converse of the alternate interior angles theorem. AB and CD are marked parallel.

what is the volume of the prism?

Answers

Times all sides together using a calculator

substitution method
x-2y=8
8x+6y=42

Answers

Answer:

(6,-1)

Step-by-step explanation:

Hi there!

We are given the following system:
x-2y=8

8x+6y=42

And we want to solve it by substitution

Substitution is where we solve one of the equations in the system for a variable for an expression containing the other variable, then substitute that expression into the other equation, then solve the equation for that variable, then use the value of the solved variable to find the value of the first variable.

It's easier to solve a system for a variable if the leading coefficient in front of a variable is 1, like with x in x-2y=8

So let's solve the equation for x.

add 2y to both sides

x-2y=8
 +2y +2y
________________
x=2y+8
Now substitute 2y+8 as x in 8x+6y=42

8(2y+8)+6y=42

Multiply

16y+64+6y=42

Subtract 64 from both sides

16y+6y=-22
Add 16y and 6y together

22y=-22

Divide both sides by 22

y=-1

Substitute -1 as y into x=2y+8 to solve for x

x=2(-1)+8

Multiply

x=-2+8

x=6

The answer is x=6, y=-1, or as a point, (6, -1)
Hope this helps!

See more on solving systems of equations by substitution here: https://brainly.com/question/26559381

HELP BEFO 7 PLEASE...

Answers

160ft3

Hope this helps

What is the measure of the central angle of a sector of the sector has a radius of 3cm and an area of 63/8 pi cm^2

Answers

Answer:

Ans=0=315⁰

Step-by-step explanation:

Hope this helps :)

When both equations begin with y='s you

A- E LIM ININATE ONE PROBLEM
B - YOU DO GUESS AND CHECK FOR ONE PLUG INS
C - YOU SET BOTH EQUATIONS UP EQUALTO EACH OTHER

Answers

I think the right answer is c

It
z²+1/z3= 34, find
z3+1/z3 using only
positive value of z+1/z

Answers

Answer:

5330

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

  73

Step-by-step explanation:

1- Transform the expression

2- Calculate

Allison measured a line to be 5.4 inches long. If the actual length of the line is 5.5 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

1.85%

Step-by-step explanation:

→ Find the difference between the actual and predicted

5.5 - 5.4 = 0.1

→ Divide answer by 5.4

0.1 ÷ 5.4 = 0.01851851851

→ Multiply answer by 100

0.01851851851 × 100 = 1.85%

Other Questions
There are 56 female performers in a dance recital. The ratio of men to women is 6:7. How many men are in the dance recital? a graphing calculator costs $85. the sales tax on the calculator is 8% . what is the total cost of the calculator According to the diagram shown, a plane's wing is 300 m above the ground sighted at a position 400 m away. What is the length of the side labeled x?PLEASE HELP!!!!!!!!A 500 mB 350 mC 100 mD 700 m Please help with my homeworkTask 2complete the sentences with your own ideas creatively1. At the moment,i am2. When i go home from school my mother is3. Right now my friend are....4. When I doing An examination, my classmates are5. Now, i am not...... A child is learning how it feels to move her mouth and make sounds. She is inthe stage.A. preoperationalB. concrete operationsO C. formal operationsD. sensorimotorAnswer is D. Sensorimotor Introduction for Home economics project Read the following sentence from the passage.On April 12, 1981, Columbia, as white as snow, launched its first mission, STS-1.How does the underlined phrase add to the information presented in the passage? A. It compares the icy temperature of the shuttle to snow. B. It helps describe the weather the day of the launch. C. It describes the brightness and newness of the space shuttle. D. It explains how the shuttle will fly through the air like snow.HELP ASAP Multiply. Express your answer in simplest form.11 1/7 4 2/7 help and quick please Arrange them from highest to lowest, need help asap Ty 181,233,255,251,232,167,207,206,256,248,151,118,113,233,253,247,276,162,228,232 How can you make people aware of health issues in your community? Meiosis makes?a. somatic cellsb. squamousc. gametes The majority of Aztecs belonged to what social class? A. nobles B. commoners C. slaves D. priestswhat is the answer? A manufacturer of technological devices has the capacity of producing two different devices (device A and B). There are three phases in the production for these two devices, the first is the construction of the components for the devices, the second is the assembly of the units, and the third is the final finish of the devices before they are packed up and shipped to the customer For each unit of device A it takes 18 hours to create the components, 2 hours to assemble the device, and 1 hours for finishing for a profit of \$1,100 . For each unit of device B it takes 36 hours to create the components, 6 hours to assemble the device, and 1 hours for finishing for a profit of \$2,200 . Each day there are 2100 hours available for the construction of the components, 300 hours available for the assembly of the devices, and 100 hours available for the finishing of the devices. Find the number of devices of A and B that they should create each day to maximize profit. Show all the necessary steps needed to solve this problem . You may use your calculator's graphing functions to help solve this problem . You may NOT use Excel for this exercise . Your final answer should be in the form of a sentence ; place a box around it. Organization and neatness counts! (40 points) Find the formula for an exponential function that passes through the two points given.(x, y) = (0,5) and (x, y) = (3, 40) Select the correct answer. George wants to understand the reasons why World War I started. Which type of essay should he read? A. sequence B. cause and effect C. compare and contrast D. problem and solution E. description Reset Next Use the long division method to find the result when 2x3 + 4x2 + 7x + 5 isdivided by x + 1. what would happen to the temperature on mercury during the day if a sunspot was directly in line with it's surface? The amount of money a consumer has left after paying for food, clothing, and shelter is referred to as: Pankaj borrows rupees 57,000 to buy a used car and is charged the rate of interest 6% per annum. if the term of his borrowing is 4 years, how much interest does he pay?