Which expression is equivalent to (x2 – 3x)(4x² + 2x - 9)

Answers

Answer 1

Answer:

[tex]\large\boxed{(x^2-3x)(4x^2+2x-9)=4x^4-10x^3-15x^2+27x}[/tex]

Step-by-step explanation:

[tex](x^2-3x)(4x^2+2x-9)\qquad\text{use}\ (a+b)(c+d+e)=ac+ad+ae+bc+bd+be\\\\=(x^2)(4x^2)+(x^2)(2x)+(x^2)(-9)+(-3x)(4x^2)+(-3x)(2x)+(-3x)(-9)\\\\=4x^4+2x^3-9x^2-12x^3-6x^2+27x\qquad\text{combine like terms}\\\\=4x^4+(2x^3-12x^3)+(-9x^2-6x^2)+27x\\\\=4x^4-10x^3-15x^2+27x[/tex]


Related Questions

what numbers multiply together to make 1120 but add to be -148

Answers

Answer:

-140 and -8.

Step-by-step explanation:

-140 x -8 = 1,120.-140 + -8 = -148.

These are all of the steps to completely and correctly solve this question.

Hope this helps!!!

Kyle.

Answer:

-8 and -140

Step-by-step explanation:

Let the numbers be x and y.  Then xy = 1120, and x + y = -148.

Solving the first equation for y, we get 1120/x.

Substituting this into the second equation:  x + 1120/x = -148

Multiplying all terms by x removes x from the denominator(s):

x² + 1120 + 148x = 0.

Let's use the quadratic formula to find x.  Here a = 1, b = 148 and c = 1120.

Then the discriminant is b²-4ac, or, in this case, 148²-4(1)(1120) = 17424.  Because this discriminant is positive, we have two real, unequal roots.

They are:

       -148 ± √17424

x = ------------------------ = -8 and -140.

              2

Note that -8 and -140 add up to -148, so that's correct.

(-8)(-140) = 1120, so that also is correct.

The yearly income for an individual with an associate’s degree in 2001 was $53,166 and in 2003 it was $56,970. What is the ratio of the income in 2001 to the income in 2003 in simplest form?










Answers

Answer:

8861 : 9495

Step-by-step explanation:

Ratio of income in 2001 to 2003:

53,166 : 56,970

Then, you can simplify by dividing both sides by 6:

8,861 : 9,495

Can't simplify anymore, Therefore this is the answer!

8861 : 9495

Hope I helped! Have a good day :)

Answer:

[tex]\frac{8861}{9495}[/tex]

Step-by-step explanation:

Income of an individual in 2001 = [tex]\$ 53,166[/tex]

Income of an individual in 2003 = [tex]\$ 56,970[/tex]

Here, we need to find ratio of income in 2001 to the income in 2003 in simplest form .

i.e we need to convert [tex]\frac{\$53,166}{\$ 56,970}[/tex] in simplest form .

A fraction [tex]\frac{a}{b}[/tex] is said to be in simplest form if [tex]HCF(a,b)=1[/tex]

So, we will first find [tex]HCF(53166,56970)[/tex] then divide both numerator and denominator by the HCF .

Here,

[tex]53166=2\times 3\times 8861[/tex]

[tex]56970=2\times 3\times 3\times 3\times 5\times 211[/tex]

So, [tex]HCF(53166,56970)=2\times 3=6[/tex]

On dividing both numerator and denominator by 6 , we get

[tex]\frac{53166}{56970}=\frac{8861}{9495}[/tex]

Hi uwu pls help me with math i don't understand :'(


c.) How many applications will your mother actually use on her new cell phone? Solve the equation you wrote in part b to find the unknown variable.



((part B is right here, but no need to answer it K: Your mother has a new cell phone. It comes with 18 applications already installed. She uses only "2" /"3" of those applications. She downloaded an additional 12 applications that she uses regularly. Write an equation to represent the total number of applications your mom uses. Explain your equation and your reasoning. answer for part B: 24 applications are what your mom regularly uses. ))

Answers

Answer:

It's 24

Step-by-step explanation:

18 apps already installed

2/3 of 18 is 12

12+12=24

24 applications have been installed.

What is algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

Given

18 apps already installed

2/3 of 18 = 12 are used

Additional 12 apps installed

Total = 12+12=24

To know more about algebraic expression refer to :

https://brainly.com/question/718520

#SPJ2

Please help , Is it abc or D . I really want to understand this

Answers

Answer:

B

Step-by-step explanation:

The surface area (A) of a sphere is

A = 4πr² ← r is the radius which we require

Given A = 2500π, then

4πr² = 2500π ( divide both sides by 4π )

r² = 625 ( take the square root of both sides )

r = 25

The volume (V) of a sphere is

V = [tex]\frac{4}{3}[/tex]πr³, and

[tex]\frac{V}{\pi }[/tex] = [tex]\frac{4}{3}[/tex]r³ = [tex]\frac{4}{3}[/tex] × 25³ , thus

[tex]\frac{V}{\pi }[/tex] = [tex]\frac{4}{3}[/tex] × 15625 ≈ 20833.33.. → B

ASAP!!! PLEASEEE!!!

A biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts 100 bacteria into what he has determined to be a favorable growth medium. Six hours later, he measures 240 bacteria. Assuming exponential growth, what is the equation to determine the number of bacteria after t hours?

A) y=100(240)^t

B) y=100(1.681)^t

C) y=100(2.4)^t

D) y=100(1.157^t

Answers

Answer:

the correct answer would be A

Step-by-step explanation:

100 is the independent variable and 240 is the dependent variable think about is like interest rate

Mercedes is going to have her car fixed. Cairo Prince Auto Tech charges $45 for an estimate plus $24 per additional hour of work. Tarantino’s Ca Garage offers a free estimate and it changes $30 per additional hour of work. Which of the following statement are true? Select all that apply.

Answers

Answer:

Answers May Vary

Step-by-step explanation:

Typically, Taratino's Car Garage will be the least expesive. The following equations for both auto shops:

Taratino's y=$30x

Cairo's y=$45+$24x

For x, that represents the total hours and y is total dollars

Graph the liner equation. Find three points that solve the equation then plot on the graph -5x-3y=-7

Answers

Answer:

Step-by-step explanation:

-5x - 3y= -7

+5x        +5x

-3y= 5x -7

------   ------

-3         -3

y=-5/3x + 7/3

In certain Algebra 2 class of 29 students, 13 of them play basketball and 7 of them play baseball. There are 4 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Answers

13-4=9 and 7-4=3

9+3=12

So the probability is 12/29

3 (3+x)+4 (x-6)=-4 what is x​

Answers

Answer:

x is 38

Step-by-step explanation:

x=1.5

the full answer is in the photo

if you have 17 bananas but someone steals them and now you have 7 how many did he take without using subtraction and division

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

17-7=10

Answer: 10

im not exactly sure what this question means but all you have to do is look at the number and u can see that is the answer. im not sure if your trying to do common sense or not but thats the answer?

The prism below is made of cubes which measure of a foot on one side. What is the volume?

A. 12 cubic ft.

B. 4/3 cubic ft.

C. 10/3 cubic ft.

D. 36 cubic ft.

Answers

Answer:

the answer is B.  4/3 cubic ft.

Step-by-step explanation:

use the formula

V = LWH

using 1/3 for each calculation

length = 3 (1/3 ft)

width = 4 (1/3 ft)

height = 3 (1/3 ft)

then you substitute those dimension

V = (3/3 ft.) (4/3 ft.) (3/3 ft.)

V = (1 ft.) (4/3 ft.) (1 ft.)

V = 4/3 cubic ft

During a certain day, a worker made 81 parts. He usually does 45 parts per day. What was the percent by which he increased the number of parts he usually makes?

Answers

Answer:

The answer is 80%.

Step-by-step explanation:

During a certain day, a worker made 81 parts.

He usually does 45 parts per day.

Number of extra parts made = [tex]81-45=36[/tex]

The percent by which he increased the number of parts he usually makes can be given as = [tex]\frac{36}{45}\times100[/tex] = 80%

Therefore, on that day, the percent increased by 80%.

Answer:

Increase by 80%

Step-by-step explanation:

45 : 100%

81 : y

[tex]\frac{81}{45} :\frac{y}{100}[/tex]

y × 45 = 81 × 100

45y = 8100

45y ÷ 45 = 8100 ÷ 45

y = 180

180% - 100% = 80%

Increase by 80%

what is 25^3k=625 using solving exponential equations will give brainly​

Answers

Answer:

k= 2/3 2 over 3.

or 0.60%

Step-by-step explanation:

Answer:

0.04 or 1/25

Step-by-step explanation:

Note that 25^3  = 15625.

Then 15625k = 625.

Solve for k using division:

k =  625 / 15625 = 0.04

Note that we could also do the problem in this manner:

25 = 5^2

625 = 5^4

Therefore, 5^4 * k = 5^2

Dividing both sides by 5^4, we get:

         5^2                                          1

k = ------------ = 5^(2-4) = 5^(-2) or ---------- = 1/25 = 0.04 (same as before)

          5^4                                        5^2

You are paid $82.50 for 712 hours of work. What is your rate of pay?


Answers

Answer:

If it's 7 1/2 hours, then the answer is $11 dollars an hour.

Answer:

$11 dollars an hour.

Step-by-step explanation:

what is the domain of the function Y= square root 2x+10 explain and show work ) A. X≥5 B. Y≥5 C. X≥-5 D. Y≤-5 ​

Answers

Solution: x ≥ -5

Steps

Domain Definition: The domain of a function is the set of input or argument values for which the function is real and defined

squareroot 2x + 10  ⇒  2x + 10 ≥ 0

Solve 2x + 10 ≥ 0:

Subtract 10 from both sides

2x + 10 - 10 ≥ 0 - 10

Simplify

2x ≥ -10

Divide both sides by 2

2x / 2  ≥  -10 / 2

Simplify

2x / 2

Divide the numbers: 2 / 2 = 1

= x

Note: x has the same value as 1

Divide the numbers: -10 / 2 = -5

= -5

The function domain is

x ≥ -5

Answer:

[tex]\boxed{\text{C. }x \geq -5}}[/tex]

Step-by-step explanation:

The domain is the set of all possible x-values that will make the function work.

The definition automatically eliminate options B and D.

Your function is

[tex]y = \sqrt{2x + 10}[/tex]

The number under the radical cannot be negative, because the square root of a negative number is imaginary.

Thus, we must have

[tex]\begin{array}{rcr}2x+ 10 & \geq & 0\\2x & \geq & -10\\x & \geq & -5\\\end{array}\\\\\text{The domain is }\boxed{\mathbf{x \geq -5}}[/tex]

The graph of your function shows that the range is x ≥ -5.

What is p(t)=-log_10(t)^.5 in exponential form

Answers

Answer:

[tex]10^{-p\left(t\right)}=t^{\left(0.5\right)}[/tex]

Step-by-step explanation:

Given equation is [tex]p\left(t\right)=-\log_{10}t^\left(0.5\right)[/tex]

Now question says to write that in exponential form.

So we can use the following conversion formula:

[tex]\log_ca=b\ \Rightarrow c^b=a[/tex]

[tex]p\left(t\right)=-\log_{10}t^\left(0.5\right)[/tex]

[tex]-p\left(t\right)=\log_{10}t^\left(0.5\right)[/tex]

[tex]\log_{10}t^\left(0.5\right)=-p\left(t\right)[/tex]

Apply conversion formula

[tex]p\left(t\right)=-\log_{10}t^\left(0.5\right)\ \Rightarrow 10^{-p\left(t\right)}=t^{\left(0.5\right)}[/tex]

[tex]10^{-p\left(t\right)}=t^{\left(0.5\right)}[/tex]

Explain one way to verify that the corresponding angles of the two triangles are congruent.
A) Use the slope formula to prove that the slopes of corresponding sides are opposite reciprocals. Therefore, the corresponding angles of the triangles are congruent.
B) Use the distance formula to prove that two corresponding sides of the triangles have the same lengths. Therefore, corresponding angles of the triangles are congruent by CPCTC.
C) Use the distance formula to prove that all corresponding sides of the triangles have the same lengths. Therefore, the two triangles are congruent by SSS. Then, corresponding angles of the triangles are congruent by CPCTC.
D) Use the distance formula to prove that two corresponding sides of the triangles have the same lengths. Therefore, the two triangles are congruent by SAS. Then, all corresponding angles of the triangles are congruent by CPCTC.

Answers

Answer:

C.Use the distance formula to prove that all corresponding sides of the triangles have same lengths.Therefore, the two triangles are congruent by SSS.Then , corresponding angles of the triangles are congruent by CPCTC.

Step-by-step explanation:

We have to explain one way through which we can verify that the corresponding angles of the two triangles are congruent.

A. Use the slope formula to prove that the slopes of corresponding sides are opposite reciprocals . Therefore, the corresponding angles of the triangles are congruent.

In this option we are given that by slopes formula the slopes of corresponding sides are opposite reciprocals .It means sides are perpendicular but not give any information about congruency of two triangles through which we can say corresponding angles of two triangles are congruent.Hence, it is false.

B.Use the distance formula to prove that two corresponding sides of the triangles have same lengths. Therefore, corresponding angles of the triangles are congruent by CPCTC.

In this option we are given information about only two corresponding sides of two triangles . It is not sufficient to prove that corresponding angles of two triangles are congruent.Hence, it is false.

C.Use the distance formula to prove that all corresponding sides of the triangles have same lengths.Therefore,the two triangles are congruent by SSS. Then, corresponding angles of the triangles are congruent by CPCTC.

In this option we have complete information through which we can verify that corresponding angles of two triangles are congruent.Hence, it is correct.

D.Use the distance formula to prove that two corresponding sides of the triangles have same lengths.Therefore, the two triangles are congruent by SAS.Then, all corresponding angles of the triangles are congruent.

In this option we have no complete information through which we can two triangles are congruent by SAS. Therefore, In this option  explaination are not given properly.Hence , it is false.

Let n = 14.

What is the value of y in the equation y = 2 × n + 3?

Answers

[tex]

n=14 \\

y=2\times n +3=2\times14+3 \\

y=24+3\Longrightarrow y=\boxed{27}

[/tex]

NEED HELP ASAP PLEASE!!!!!

What additional information is needed to prove the triangles are congruent by HL?

A.) B.) m C.) BD~AC
D.) AC~EC

Answers

Answer:

D

Step-by-step explanation:

sice the above mentioned congurency test is based on rhs axiom hence D is answer

Find the degree of the monomial 13
A. 3
B. 4
C. 1
D. 0

Answers

Answer:

D

Step-by-step explanation:

Note that 13 = 13[tex]x^{0}[/tex] since [tex]a^{0}[/tex] = 1

Then 13 is a monomial of degree 0 → D

2. MONEY Hans opens a savings account by depositing
$1200. The account earns 3 percent interest
compounded weekly. How much will be in the
account in 10 years if he makes no more deposits?
Assume that there are exactly 52 weeks in a year and
round your answer to the nearest cent.

Answers

Final answer:

Using the formula for compound interest, the total amount in the account after 10 years, with no further deposits and 3 percent interest compounded weekly, is approximately $1615.65.

Explanation:

This problem involves the concept of compound interest, specifically interest compounded weekly. To calculate the total amount in the account after 10 years, the formula for compound interest is used, which is A = P(1 + r/n)^(nt).

In this case, P, the principal amount, is $1200. The annual interest rate, r, is 3% or 0.03 when converted into decimal form. The number of times interest is compounded per year, n, is 52 weeks since interest is compounded weekly. Lastly, t stands for the number of years the money is invested or borrowed for, which is 10 in this instance. Plug these values into the formula to get the total amount after 10 years.

A = 1200(1 + 0.03/52)^(52*10) = $1615.65

So, if Hans makes no further deposits and the account earns 3 percent interest compounded weekly, the amount in the account after 10 years will be approximately $1615.65.

Learn more about Compound Interest here:

https://brainly.com/question/34614903

#SPJ2

PLEASE PLEASE HELP ME ASAP!!!!!

A. 4

B. 14

C. square root of 52

D. square root of 61

Answers

Answer:

Square Root of 61

Step-by-step explanation:

Square root of 54

^u^

What is the area of the two-dimensional cross section that is parallel to face ABC ?



Enter your answer in the box.

Answers

Check the picture below.

ANSWER QUICKLY PLEASE ITS URGENT

Solve the equation for the unknown variable.

X^3 = -125

Answers

Answer:

The answer to this is -5

Step-by-step explanation:

To do this, just do -125 to the 1/3 power. This is because you need to do the reverse of the order of operations.

Please help ASAP!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

First, we know that angles 6 and 8 are supplementary.

Therefore m∠6 + m∠8 = 180°

123.5° + m∠8 = 180°

m∠8 = 56.5°

Then, using the alternating exterior angle theorem, we can find that...

m∠8 ≅ m∠1

So m∠1 = 56.5°

the answer to this question is A

If f(x) = 8 -3 and g(x) = 3x2 + x-6, find (f + g)(x).

Answers

Answer:

D

Step-by-step explanation:

(f+g)(x)   basically means to "ADD" f(x) and g(x).

We have

[tex]f(x)=\frac{x}{2}-3[/tex]

and

[tex]g(x)=3x^2+x-6[/tex]

Now we simply add these two, adding like terms as shown below (and simplify):

[tex](f+g)(x)=f(x)+g(x)\\=(\frac{x}{2}-3)+(3x^2+x-6)\\=3x^2+\frac{1}{2}x+x-3-6\\=3x^2+\frac{3}{2}x-9[/tex]

Correct answer is D

an expression is shown. 5x=32 what is the value of x that makes the equation true.​

Answers

Answer:

6.4

Step-by-step explanation:

5x = 32

Divide both sides by 5.

5x/5 = 32/5

x = 6.4

Divide by 5 on both sides.

5x divided by 5 leaves x alone.

32 divided by 5 is 6.4.

6.4 • 5 = 32

X = 6.4

Hope this helps!

suppose Paola uses 18 tablespoons of iced tea mix. How many cups of water does she need to use?​

Answers

The required Paola needs to use 18 cups of water.

To determine the number of cups of water Paola needs to use, we need to know the ratio of water to iced tea mix. Typically, a common ratio for making iced tea is 1 tablespoon of iced tea mix per 1 cup of water.

A ratio is a comparison of two quantities or values, typically expressed in the form of a fraction or with a colon (:). It shows the relative sizes or amounts of two or more things in relation to each other.

Given that Paola uses 18 tablespoons of iced tea mix, she would need an equal amount of cups of water.

Therefore, Paola needs to use 18 cups of water.

Learn more about ratios here:

https://brainly.com/question/31611425

#SPJ6

Matilda measures the perimeter of her bedroom to determine how many feet of border she needs to go around the tops of the walls. Two walls are each 96 inches long, and two walls are each 3 yards long. She pays $30 for border that costs $1 per foot. What are steps that you should take to determine if Matilda bought the correct amount of border? Select all that apply.

Answers

Answer:

She did not buy enough border. She needs 34 ft not 30.

Step-by-step explanation:

Find the perimeter of her room in feet:

12 inches in a foot

96/12=8

3 feet in a yard

3(3)=9

8 ft + 8 ft + 9 ft + 9 ft = 34 ft

She bought 30 ft of border, which is not enough because she needs 34 ft

The given border of 30 feet is not enough.

What is Perimeter?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.

Given:

Two walls are each 96 inches long, and two walls are each 3 yards long.

She pays $30 for border that costs $1 per foot.

First step is to convert inches to feet

1 inch = 1/12 feet

96 / 12 = 8 feet

and,  1 yard = 3 feet

3 x 3 = 9 feet

Now, the perimeter of the room

= 9 + 9 + 8 + 8

= 34 inches

The  feet of border bought

= $30 / $1

= 30

So, 34 > 30 thus the border is not enough

Learn more about Perimeter here:

https://brainly.com/question/23226467

#SPJ3

how much warmer is 82 than -40

Answers

Answer: The difference between 82 and -40 is 122.

Step-by-step explanation:

Final answer:

To find out how much warmer 82 degrees is than -40 degrees, you add 40 to 82, which totals 122 degrees.

Explanation:

To determine how much warmer 82 degrees is compared to -40 degrees, we simply calculate the difference between the two temperatures. This is a simple calculation where we subtract the lower temperature from the higher temperature.

The calculation would be: 82 - (-40) = 82 + 40 = 122 degrees.

So, 82 degrees is 122 degrees warmer than -40 degrees. Note that this calculation assumes that the temperatures are measured on the same scale, which is typically Fahrenheit in the context of weather temperature changes in the United States.

Other Questions
How did Myrtle know she made a "mistake" when she married Wilson? The average cost to produce a booklet at a printing company is given by the equation C(X)= 2x/x-1 where x is the number of booklets produced. Graph this relationship and describe what the expected cost of producing a booklet approaches as many booklets are printed. What is the range of this data set? 43, 78, 12, 32, 97Median:Mean:Range: Many people think Jack is not playing with a full deck, but behind his goofy exterior is the mind of a genius.What is the meaning of the phrase "not playing with a full deck"? Jack is not very bright. Jack is not very competitive. Jack likes to gamble. Jack cheats at cards. Which of the following equations of y = sin x has been transformed by a vertical shift down 3 units and stretch factor of 2?A. y = sin 20B. y = 2 sin +3C. y = -2sin 8 - 3D. y = 3 sin 0 - 2E. y = 2sin 0-3 A 70 kg person running at 4 m/s what is the kinetic energy Rewrite these sentences and add dashes where they are needed. 1. The schools principal a graduate of Bryan Mawr College is Ms. Victoria Keene.2. Mrs. Peterman adored her childrens off-key singing she was shocked at the neighbors complaints.3. His bicycle was very expensive it cost him his entire savings but he rarely rides it.4. Everyone even those who knew his plans was surprised by kevins announcement.5. Eating well, exercising regularly, and getting enough sleep these are the keys to staying healthy. The Pangaea theory supports the theory of plate tectonics because _____. A. it is based on the idea that there were several land masses when Earth was first createdB. it is based on the idea that all the present continents were one supercontinentC. it does not require scientists to support the notion that Earth's plates can moveD. one day, Earth will have one large land mass again HURRY HURRY I NEED YOUR HELP Read the summary.Margaret Atwood's The Handmaid's Tale, set in a future dystopian society, follows the journey of the handmaid Offred. In this future totalitarian state, Offred and many other women are forced to serve masters and their families. They are even forbidden to use their own birth names; the name "Offred" literally means "of Fred," as her master's name is Fred.Based on the summary, which type of conflict does The Handmaid's Tale explore? Man vs. man Man vs. nature Man vs. self Man vs. society Ben bought two identical plants and placed them on opposite ends of his garden. After several days, he noticed that one grew taller than the other. Ben wants to conduct an experiment to see why one would grow more than another. Ben is in what part of the scientific knowledge process? observation hypothesis scientific question experimentation lynn and dawn tossed a coin 30 times and got heads 12 times. what is the experimental probability of tossing heads using lynn and dawn's results What was a factor in Pilgrim's success in their new colony? The Federalist Papers mainly argued for ratification of the Constitution and promised that Hello, help me please. Radio one is organizing a radio show on jobs for teens. Leave a one-minute message about your experiences and your plans.>To start ,introduce yourself(greetings,name,age,from...)Say why you call."I would like to take part in your radio show an jobs for teens because ...>Talk about your experiences. Use the present perfect,give details ,use the voc seen on class.>Talk your about your plans : use be going to +V>Cheks if your message lasts one minute. >Conclusion of your call,"You van call me back at 06 ... How is dividing mixed numbers related to dividing whole numbers How did the treaty of Versailles affect Germany? A. It added territory to Germany. B. It punished Germany with big fines. C. It gave France control of Germany. D. It led to prosperity in Germany. Which is the value of this expression when j=-2 How were the revolutions of 1848 a test of the ideals of conservatism Which of these sentences is always true for a parallelogram?A.All sides are congruent.B. All angles are congruent.c.The diagonals are congruent.D. Opposite angles are congruent. Rectangle we're prison has a length of 3 and 1/2 meters a with of 4 and 1/2 meters and a height of 2 m. Which expression can be used to find the volume of the prism? Steam Workshop Downloader