X 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product after it has been fully simplified? x3 + 5x2 + 5x – 2 x3 + 2x2 + 8x – 2 x3 + 11x2 – 2 x3 + 10x2 – 2

Answers

Answer 1

Answer:

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 9x^4+ 15x^3 + 2x^2 + 10x -4[/tex]

Step-by-step explanation:

Given

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

Required

The equivalent expression

We have:

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

Open bracket

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 6x^4 - 2x^3 + 3x^4 + 18x^3 - 6x^2 -x^3 + 6x^2 - 2x + 2x^2 + 12x -4[/tex]

Collect like terms

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 6x^4 + 3x^4- 2x^3 -x^3 + 18x^3 - 6x^2 + 6x^2 + 2x^2- 2x + 12x -4[/tex]

Evaluate like terms

[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 9x^4+ 15x^3 + 2x^2 + 10x -4[/tex]


Related Questions

Can someone please be generous & help I’ve been stuck here for a whole hour

Answers

The answer is 1/2d+4=12

The 1/2 is because she is lending half the collection and the +4 is because Clara buys 4 more. It equals 12 because that’s the number that she has now. If you solve for d it gives the original number of dresses in her collection

Answer:

Answer: 16 Step-by-step explanation: a:2+4 =12 a:2=12-4 a:2=8 a=8 ×2 a=16 dresses  

Step-by-step explanation:

ANNNSWER PLZ 20 c rule

Answers

Answer:

No solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

5m−2(m+3)+6/2  

=3m−4/2  

Step 1: Simplify both sides of the equation.

5m−2(m+3)+6/2  

=3m−4/2  

5m+(−2)(m)+(−2)(3)+6/2  

=3m+−2(Distribute)

5m+−2m+−6+3=3m+−2

(5m+−2m)+(−6+3)=3m−2(Combine Like Terms)

3m+−3=3m−2

3m−3=3m−2

Step 2: Subtract 3m from both sides.

3m−3−3m=3m−2−3m

−3=−2

Step 3: Add 3 to both sides.

−3+3=−2+3

0=1

Answer:

There are no solutions

Answer:

No solutions

Step-by-step explanation:

[tex]5m-2(m+3)+\frac{6}{2} =3m-\frac{4}{2}[/tex]

[tex]5m-2m-6+\frac{6}{2} =3m-\frac{4}{2}[/tex]

[tex]5m-2m-6+3 =3m-2[/tex]

[tex]5m-2m-3 =3m-2[/tex]

[tex]3m-3 =3m-2[/tex]

[tex]3m-3+3 =3m-2+3[/tex]

[tex]3m=3m+1[/tex]

[tex]3m-3m =3m- 3m+1[/tex]

0 = 1

No solutions

josh desposited $1,500 into an account that earns 6% simple interest every year. how much money would be in his account after 20 years ?

Answers

Answer:

Step-by-step explanation: example:

Problem: You deposit some money into a bank account paying 2% simple interest per 6 months. You received $15 in interest after 9 months. How much the deposit (principal) was?

Result: The principal was $500.

STEP 1: Convert interest rate of 2% per 6 months into rate per year.

STEP 2: Convert 9 months

STEP 3: Find principal by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this example I = $15, i = 4% and t = 0.75 years, so

Ignacio and Kirsten want to find out if the triangle formed by connecting (-1,-1). (-3,2), and (2, 1) is a right triangle Ignacio's plan: . Use the distance formula to find the lengths of the sides. • Then see if the side lengths satisfy the equation a2 + b2 = c2 to see if it is a right triangle Kirsten's plan: • Find the slopes of the three sides. • See if any two slopes are negative reciprocals of each other Which student's plan will work?​

Answers

Answer:

Both plans are correct

Step-by-step explanation:

I already did it

Find the value of x to the nearest tenth. A. 26.3 B. 5.7 C. 9 D. 8.6

Answers

Answer:

C

Step-by-step explanation:

you have the angle, adjacent and you want to find the hypotenuse

therefore use CAH - (I drew the triangle on the bottom of the attachment )

length of A / cos(angle) = hypotenuse

7 / cos(39)=9.007

Answer:

C: 9 to the nearest tenth

Step-by-step explanation:

You  have three choices on your calculator to solve this problem. Only 1 of the three will work.

Sin(39)

Tan(39)

Cos(39)

You want the hypotenuse (x) and you are given the adjacent side. The adjacent side is the other side that makes up the reference angle other than the hypotenuse.

Cos(theta) = adjacent side / hypotenuse.    The is the function you use.

Adjacent side = 7

Cos(39) = 7 / x               Multiply both sides by x

x * Cos(39) = 7               Divide by Cos(39)

x = 7 / Cos(39)

x = 9                               Isn't that neat? It is actually 9.0073. but C is the answer.

What is 1/9 of 9?
a) 1/9
b) 0
c) 1
d) 2
e) 3

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {c) \:1}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] = \frac{1}{9} \times 9\\[/tex]

[tex] = \frac{9}{9} \\[/tex]

[tex] = \frac{1}{1} \\[/tex]

[tex] = 1\\[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]

13. Find the roots of the quadratic equation by using the quadratic formula and factorization method (i) x 2 – + 10 = 0

Answers

Answer:

x = 5 or -2

Step-by-step explanation:

The general quadratic formula is expressed as;

ax²+bx+c = 0

Given

x² - 3x -10 = 0

a = 1, b = -3 and c = -10

x = -(-3)±√(-3)²-4(1)(-10)/2(1)

x = 3±√9+40/2

x = 3±√49/2

x = 3±7/2

x = 3+7/2 or 3-7/2

x = 10/2 or -4/2

x = 5 or -2

By Factorization

x² - 3x -10 = 0

x² - 5x+2x -10 = 0

x(x-5)+2(x-5) = 0

(x-5)(x+2) =0

x - 5 =0 and x+2 = 0

x = 5 or -2

Question 5 (Essay Worth 6 points) (06 02Mr. Momnis is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work 20 2 X Source C BI V S *, * • Format 1?​

Answers

Answer: area of triangle = 1/2 base*height  = 1/2  * 2 x 10   = 10 ft2   each

then you are left with a rectangle   13 ft x 10 ft = 130 ft^2

130 + 10 + 10 = 150 ft2

Step-by-step explanation: Hope it helps

What's the sign of (-4/9)(7/4)

Answers

Answer:

-7/9

Step-by-step explanation:

= (-4/9) x (7/4)

= -4/9 x 7/4

= -28/36 (simplifying gives -7/9)

8. A canteen sold 3 more bottles of pepsi than fanta. In all 16 bottles of drinks were sold. How many bottles of fanta were sold?​

Answers

5 bottles of fanta were sold

Answer:

6.5

Step-by-step explanation:

p = f + 3

f + p = 16

f + (f + 3) = 16

2f + 3 = 16

2f = 13

f = 6.5

I don't know how you sell a half a bottle, but the math is correct

help help help help help

Answers

Answer:

soryyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Step-by-step explanation:

iiiiiiiiiiiiiiiiiiii neeeeeeeeeeeeeeeeeeeed pointsssssssssssssssssssssssssssssssssss.

plz answer fast i need the answers thank u​

Answers

Answer:

Step-by-step explanation:

(-5 , 2) here -5 is x coordinate and 2 is y coordinate since x coordinate is negative and y coordinate is positive it lies in II quadrant.

(2 , -5) here 2 is x coordinate whereas -5 is y coordinate and siince x coordiante is positive and y coordinate is negative it lies in IV quadrant.

(x^3 - 2)(x^2 + 11)

to find the degree of polynomial first u need to factor this out

x^3(x^2 + 11) -2(x^2 + 11)

x^3 * x^2 + x^3 * 11 - 2 * x^2 - 2 * 11

x^3+2 + 11x^3 - 2x^2 - 22

x^5 + 11x^3 - 2x^2 - 22

since the highest degree is 5 the degree of the polynomial is also 5.

Step-by-step explanation:

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

PLEASE HELP DUE TOMORROW

you dont need the other part its just the same question but different

Answers

Answer:

for the firt one the patters is +6  +7   +8    +9  

Step-by-step explanation:

A partial listing of monthly startup costs for a store includes $2,750 for rent, $479 for electricity, $217 for telephone and Internet service, $9,423 for employee salaries, $250 for cleaning service, and $100 for supplies. What percent of your monthly startup cost is rent?

Answers

Answer:

I think it is 20.8%

Step-by-step explanation:

The percentage of rent in the monthly startup cost is 20.8%

What is percentage?

A part of a whole expressed in hundredths. In percentage we equate the total with hundred and find the sum.

The formula of percentage is (Y/X)×100 = P%, where "X" is total , "Y" is the individual number of which we want to find the percentage and "P" is the percentage value.

According to the formula,

X ⇒ $2,750 + $479 + $217 + $9,423 +  $250 + $100 = $13,219

Y = $2,750

P = (Y/X)×100

2750/13219 =0.20803

0.20803×100=20.80%

Thus the percentage of the rent in the total monthly startup cost is 20.80%

To know more about percentage here

https://brainly.com/question/13450942

#SPJ2

Select the correct answer. Which statement describes ? A. It is an irrational number. B. It is a rational number that has a repeating decimal expansion. C. It is a rational number that has a terminating decimal expansion. D. It is not a rational number because it is negative.

Answers

Answer:

the answer is c okay g;)

Step-by-step explanation:

hope this helps


At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. Which
expression represents how much she will receive in commission from the sale?

Answers


At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. 569 (0.18) represents how much she will receive in commission from the sale.

The first file is the question, 2nd is the answer choices; this question has stumped me.

Answers

Answer:

ans: option b

Step-by-step explanation:

remember that,

For matrix addition or subtraction of two or more matrices must have same order and only operation done with corresponding elements,

if you find helpful make it brainlist

Given the following statement. "If two angles form a linear pair, then they are supplementary",
which of the following is the converse of the statement?
ASAP ❤️

Answers

Answer:

The converse of the statement is: If two angles are supplementary, then they form a linear pair.

Step-by-step explanation:

The statement is a representation of the following compound proposition: [tex]p \rightarrow q[/tex], where:

[tex]p =[/tex] Two angles form a linear pair

[tex]q =[/tex] They are supplementary

The converse of this implication is represented by the following inferential formula:

[tex]q \rightarrow p[/tex]

Therefore, the converse of the statement is:

If two angles are supplementary, then they form a linear pair.

Which statement is true regarding the graphed functions?

Answers

Answer:

they intersect at 0,-2

What is the formula or equation for this problem I don’t understand

Answers

Answer:

B

Step-by-step explanation:

From the property of parallelogram the opposite angels are equal so < DAB = < DCB so < DAB will become 16x.

9x + 5 + 16x(<DAB) = 180 ....... because it is straight line.

25x + 5 = 180

25x = 180 - 5

25x = 175

x = 7 (it's 7 because u divide 175 by 25)

now let's substitute in the angle < DCB( 16x):-16 × 7= 112

To get < ABC lets use the property of parallelogram which says tha adjacent angles are supplementary. which means <ABC + <DCB = 180

<ABC + 112 = 180

< ABC = 180 - 112

< ABC = 68

answer credits: melatleul

Help and explain please and ty <3333

Answers

Answer:

A. 693

Step-by-step explanation:

The question is asking you to input 7 into both functions and then multiply them together.

First insert 7 into f(x) = 7 + 2x,   7 times 2 is 14, plus 7 = 21

do the same with g(x) = 5x - 2,   5 times 7 is 35, minus 2 = 33

fg(7) is saying to multiply fg together as a variable next to another variable does. leaving the answer as 693.  

On a piece of paper, graph f(x)= x if x<1
1 if x ⩾1.
Then determine which answer choice matches the graph you drew. ​

Answers

Answer:

A.

Step-by-step explanation:

baj si ud fbs owo ehnf ko wj bd

The function is plotted and is attached.

What is a function?

It is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (dependent).

It is given in the question that

f(x) = x if x <1

1 if x>_ 1

The graph of above function is attached below,

For domain x > 1, f(x)=x

For domain, x≥ 1, f(x)=1

When we see the graph that have been plotted on the basis of domain, Option D is the correct graph similar to one in the image attached.

To know more about Function

brainly.com/question/24748644

#SPJ7

Which is equivalent to 64 1/4? A. 2(4 square root 4) B. 4 C. 16 D. 16 4 square root 4 (Look at image please)​

Answers

Answer:

The answer is A

Step-by-step explanation:

64¼ = (2⁶)^¼ so 2^⅔.

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {A. \:2 \sqrt[4]{4}}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {64}^{ \frac{1}{4} } \\\\ = \sqrt[4]{64} \\ \\ = \sqrt[4]{( {2})^{2} \times( {2})^{4} } \\\\ = 2 \sqrt[4]{ ({2})^{2} } \\ \\= 2 \sqrt[4]{4} [/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

I will give brainliest if you add details:
A recent study asked the same 15 students their favorite subject at three different times: in elementary school, in middle school, and when getting ready to graduate from high school.

What percentage of students said that Math was their favorite subject in elementary school?
What is the percent of change for History being the favorite subject between elementary school and graduating from high school?

Answers

Answer:

53 1/3% for the first answer, and 33 1/3% increase for the second answer

Step-by-step explanation:

Ok, lets start up witht eh first question.

We need to find the percentage of studens that find math the be their favorite subject in elementary school.

We know that there are 15 kids in total.

We specificly see that 8 of those kids like math the most.

To find percentage, divide 8 by 15.

Using a calculator you should find 53 1/3% of the students found math to be their favorite subject.

Next we need to find the percentag eof change that history is over elementary school to high school.

This might sound confusing, but this is basically just a change of 3 students to 4 students.

To find percentage, just divide 3 by 4:

This gets you 33 1/3%

Hope this helps!

As a salesperson at Trading Cards Unlimited, Justin receives a monthly base pay plus commission on all that he sells. If he sells $500 worth of merchandise in one month, he is paid $410. If he sells $900 of merchandise in one month, he is paid $498.​

Answers

Answer:

Justin's salary will be $1048 when he sells $3400 worth of merchandise.

Step-by-step explanation:

If the salesperson receives a monthly base pay and the commission on the sales expression that represents his monthly pay,

y = B + C(x)

Here y = Monthly pay

B = Base pay

C = percentage of commission

x = Amount of sales done

If he sells $500 worth of merchandise in a month, he earns $410,

410 = B + C(500) -----(1)

If he sells $900 worth of merchandise in a month, he earns $498,

498 = B + C(900) ------(2)

By subtracting equation (1) from equation (2),

498 - 410 = 900C - 500C

88 = 400C

C = [tex]\frac{88}{400}[/tex]

C = 0.22

From equation (1),

410 = B + 0.22(500)

B = 410 - 110

B = $300

Therefore, expression for the monthly earning will be,

y = 300 + 0.22(x)

Justin's salary when he sells $3400 worth of merchandise in a month,

y = 300 + 0.22(3400)

y = 300 + 748

y = $1048

Therefore, Justin's salary will be $1048.

Please help me with my question due tomorrow morning​

Answers

Step-by-step explanation:

Hey!.

You only wrote the functions. but didn't specify what you want done.

Its already In a Simplified form.

What Mathematical Operation do u need? The Integral?Differential? Or To prove if its equal to something?

A1=3
An=2(an-1+1)
What's a2 a3 and a4

Answers

Answer:

a2 is a3 B is 2 and a4 is -2

Step-by-step explanation:

just math and more math

A bulb is rated at 330V- 110W. What do you think is its resistance? Three
such bulbs burn for 5hrs at a stretch. What is the energy consumed? Calculate
the cost in rupees if the rate is 1.70 paise per unit?

Answers

Answer:

330

Step-by-step explanation:

-$737737373hhhehehwywuuuwu

What is the range of the function on the graph?

all real numbers
all real numbers less than or equal to –1
all real numbers less than or equal to 3
all real numbers less than or equal to 0

Answers

Step-by-step explanation:

where is the graph ?

without it it is impossible to answer the question.

says hint: divide, i dunno

Answers

distance= rate * time

distance/rate=time

(2.4 *10^20)/ (1.2*10^5)  = 2 * 10^15 seconds

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