expand and simplfy (x+3)(x-3)(3x+2)

Answers

Answer 1

Answer:

[tex] {3x}^{3} + {2x}^{2} - 27x - 18[/tex]

Step-by-step explanation:

1) Use difference of squares: a² - b² = (a + b) (a - b).

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

2) Simplify 3² to 9.

[tex]( {x}^{2} - 9)(3x + 2)[/tex]

3) Use The FOIL method: (a + b) (c + d) = ac + ad + bc + bd.

[tex] {3x}^{3} + {2x}^{2} - 27x - 18[/tex]

Therefor, the answer is 3x³ + 2x² + -26x -18.


Related Questions

Evaluate
expression 4+5.23 + 3 =​

Answers

Answer:

12.23

Step-by-step explanation:

4+5.23 = 9.23

9.23 + 3 = 12.23

HELP ASAP PLEASE EXPLAIN FOR BRAINLIST.

Answers

Answer:

45/120 (45 times out of 120 times)

Step-by-step explanation:

3/8 = x/120

x = 45

Answer:

b

Step-by-step explanation:

Hey There!

So when finding probabilities we want to find how many even numbers there are and divide that by the amount of numbers

we see that there are 3 even number ( 2, 16 and 8) and there are 8 numbers in total

So in one spin the probability of it landing on an even number is 3/8

Now to find the probability it will land on an even number in 120 spin we multiply 3/8 and 120

[tex]\frac{3}{8} x 120=45[/tex]

So the reasonable prediction of it landing on an even number out of 120 spins is 45

The1AndOnlyMarkus

what does s equal?pls help me plsss.

Answers

Answer:

s< -7/11

Step-by-step explanation:

$73 is what percent of $125

Answers

Answer: The question $73 out of 125 is 58.40%

Step-by-step explanation:

$73 out of 125 is what percent Answer: The question $73 out of 125 is 58.40%, which is the same as 73/125 as a percent. This can be solved using this calculator above

The $73 is approximately 58.4% of $125.

To find what percent $73 is of $125, we can use the following formula:

Percent = (Part / Whole) * 100

In this case, $73 is the part and $125 is the whole.

Substituting these values into the formula:

Percent = (73 / 125) * 100

Dividing 73 by 125:

Percent = 0.584 * 100

Multiplying 0.584 by 100:

Percent = 58.4

Therefore, $73 is approximately 58.4% of $125.

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12 6x−9y>12 what inequalities is equivalent to the inequality

Answers

Answer:

use mathpapa.com for those type of questions it always helps

Step-by-step explanation:

Tony took out a loan for 7000 that has a intrest rate of 7.5% compounded annually after 15 years how much will the total loan amount be After 15 years how much will tony pay in intrest

Answers

Answer:

$7875

Step-by-step explanation:

Interest is calculated by the formula: I = Prt

I (interest)

P (principle)

r (rate)

t (time)

Substitute

I = (7000)(0.075)(15)

I = 7875

Thus, our interest is $7875

Which of the numbers below is greater than -2.4? Select all that apply.
A) 1.3
B) −3.6
C) −2
D) −32
E) −5

Answers

Answer:

A) 1.3 and C) −2

Step-by-step explanation:

A & C are greater then -2.4

question in the picture

Answers

c= 50+75t

it is less expensive to purchase the $750 software

this. RNNNN no month later answers

Answers

Answer: 5) Decrease 6) -44.4%

Step-by-step explanation: Percent change formula is as follows: final - initial / initial

(10-18)/18 = -8/18 = 0.44444 to turn into a percent multiply by 100 to get 44.4 percent change when rounded

A laundromat has a wash-and-fold service for a monthly fee of $29.00. The laundromat will wash and fold clothes at $0.69 per pound for those customers with a laundry service. One customer paid $44.18 total for the month.

Which equation can be used to determine the pounds of laundry the customer brought in to be washed and folded that month?
A.
44.18 + 29.00 = 0.69x
B.
0.69x + 29.00 = 44.18
C.
0.69x + 44.18 = 29.00
D.
29.00 - 0.69x = 44.18

Answers

Its B cause the total amount needs to be 44.18 and the change 0.69x needs to be positive

Find the area of the composite figure below.

Answers

Answer:

63 cm^2.

Step-by-step explanation:

Total Area = area rectangle + area of triangle on right + area of triangle at the top.

= 6 * 8 + 1/2 * 1 * 6 + 1/2 * 8 * 3

= 48 + 3 + 12

= 63 cm^2.

HELP DUE IN 15 MINS!

Reason 2:

-Division Property of Equality

-SAS Postulate

-AA Postulate

-Reflexive property of Congruence

-Given

-Vertical Angle Theorem

-SSS Postulate

-Prove

Answers

Answer:

Missing reasons:

1. Given (the ratios of corresponding sides)

2. Reflexive property of Congruence (same angle K)

3. SAS Postulate (two sides are similar and the included angle congruent)

in a circle of radius 17cm calculate the length of a chord which is 8cm from the centre​

Answers

Answer:

The length of the chord is 30cm

Step-by-step explanation:

Given

[tex]r = 17cm[/tex]

[tex]d = 8cm[/tex]

Required

Calculate the chord length (L)

This is calculated as:

[tex]L = 2 * \sqrt{(r^2 -d^2)[/tex]

So:

[tex]L = 2 * \sqrt{(17^2 - 8^2)[/tex]

[tex]L = 2 * \sqrt{225[/tex]

[tex]L = 2 * 15[/tex]

[tex]L = 30cm[/tex]

WWhat is the equation for the line of reflection? On a coordinate plane, triangle A B C has points (6, 3.7), (5.4, 2), (1, 3). Triangle A prime B prime C prime has points (3.7, 6), (2, 5.4), (3, 1). x = 3 y = 3 y = x x = 6

Answers

Answer:

[tex]y = x[/tex]

Step-by-step explanation:

Given

[tex]A =(6,3.7)[/tex]

[tex]B = (5.4,2)[/tex]

[tex]C = (1,3)[/tex]

[tex]A' = (3.7, 6)[/tex]

[tex]B' = (2, 5.4)[/tex]

[tex]C' = (3, 1)[/tex]

Required

The equation for the line of reflection

Taking points A and A' as a point of reference:

[tex]A =(6,3.7)[/tex] and [tex]A' = (3.7, 6)[/tex]

First, calculate the midpoint (M)

[tex]M = (\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})[/tex]

[tex]M = (\frac{3.7+6}{2},\frac{6+3.7}{2})[/tex]

[tex]M = (\frac{9.7}{2},\frac{9.7}{2})[/tex]

[tex]M = (4.85, 4.85)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{6 - 3.7}{3.7 - 6}[/tex]

[tex]m = \frac{2.3}{-2.3}[/tex]

[tex]m = -1[/tex]

The midpoint of a reflection is always perpendicular to the points being reflected.

So, the slope of [tex]M = (4.85, 4.85)[/tex] is:

[tex]m_2 = -\frac{1}{m}[/tex]

[tex]m_2 = -\frac{1}{-1}[/tex]

[tex]m_2 = 1[/tex]

The equation is then calculated as:

[tex]y = m_2(x - x_1) + y_1[/tex]

Where:

[tex](x_1,y_1) = (4.85,4.85)[/tex]

[tex]y = 1(x - 4.85) + 4.85[/tex]

[tex]y = x - 4.85 + 4.85[/tex]

[tex]y = x[/tex]

Hence, the equation of line of reflection is:

[tex]y = x[/tex]

Answer:

c

Step-by-step explanation:

Simplify fully e x e x e x f/ e x e x f x f

Answers

Given:

The given expression is

[tex]\dfrac{e\times e\times e\times f}{e\times e\times f\times f}[/tex]

To find:

The simplified form of given expression.

Solution:

We have,

[tex]\dfrac{e\times e\times e\times f}{e\times e\times f\times f}[/tex]

The common factors in numerator and denominator are e, e, f.

Cancel out the common factors.

[tex]=\dfrac{e}{f}[/tex]

Therefore, the required expression is [tex]\dfrac{e}{f}[/tex].

A bus travels one and one half miles to a bus stop 4 times. How many miles in all has the bus traveled?

Answers

Answer:

6 miles

Step-by-step explanation:

1.5miles multipled by 4stops is 6

what is 2/7 into a percent

Answers

28.57% is the answer
Answer:

2/7 into percentage would be 28.571429%

Note to you:

I hope this helped and have a good one!! Correct me if I am wrong. Did some outside research.

Evaluate: 12 + 4 x (11 - 6) =

Answers

Answer:

it equals 32

Step-by-step explanation:

Hope this helps!

Answer:

doesn't really make sense

Step-by-step explanation:

if you were to do this problem according to PEMDAS it would be 12+20x

please help due in one hour

Answers

Answer:

its 29.3

Step-by-step explanation:

Answer:

what is the angle? what what

True or False? k= 1 is a solution to the inequality 9k + 5 > 18. True or False​

Answers

Answer:

False

Step-by-step explanation:

Answer: False

Step-by-step explanation:

Which temperature is greater, -20F or -60F

Answers

Answer:

-20

Step-by-step explanation:

Answer:

It's -20F :)

Step-by-step explanation:

hsbshehehebvdhshhakakkanabsbxh

A rectangular room must have a perimeter of 20 feet and an area of at least 20 square feet. Describe the possible widths of the room. Round your answers to the nearest tenth of a foot.

Answers

Answer:

Step-by-step explanation:

A rectangular room must have a perimeter of 20 feet and an area of at least 20 square feet. Describe the possible widths of the room. Round your answers to the nearest tenth of a foot

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

L + W = 10 --> W = 10 - L

---

L*W >= 20

----

Solve L*W = 20

L*(10 - L) = 20

-L^2 + 10L - 20 = 0

which paths shows the probability of picking exactly one red counter​

Answers

this s hit makes no f ucking sense

Put these numbers in descending order.
0.98
0.925
0.88
0.7

Answers

The descending values of the numbers is 0.98 > 0.925 > 0.88 > 0.7

Given data ,

Let the numbers be represented as A

Now , the value of A is

A = { 0.98 , 0.925 , 0.88 , 0.7 }

And , arranging in the descending order means from the greatest to the least value

So , the value of A is 0.98 > 0.925 > 0.88 > 0.7

Hence , the descending order is 0.98 > 0.925 > 0.88 > 0.7

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The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of
airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be
used to determine her monthly cell phone bill (C)?

Answers

Answer:

  15xc + 0.20x(X)

Step-by-step explanation: Looks complex but hope this helps

PLEASE SHOW YOUR WORK. HURRY I WILL MARK YOU BRAINLIEST

Answers

Answer:

b

Step-by-step explanation:its is b because in three days they earn 48 dollars in 6 days the earn 96 dollars in 7 days they earn 112 dollars so it is b

One supermarket sold 72 cases of Zing soap, but only one-third as many cases of Essence soap. If each case holds 156 bars of soap, how many bars were sold in all

Answers

The sold 14,976 in total 1/3 of 72 is 24+72=96
96*156 =^

There will be 1334 bars sold in all if each case holds 156 bars of soap.

From the question, we are told that one supermarket sold 72 cases of Zing soap, if there is only one-third as many cases of Essence soap, then;

Amount of cases of Essence soap = one-third of 72

Amount of cases of Essence soap = [tex]\frac{1}{3} \times 72[/tex]

Amount of cases of Essence soap = 24cases

If each case holds 156 bars of soap, then we can write:

1 case = 56 bars of soap

To get the total bars that were sold. we can write:

24cases = x

DIvide both expressions:

[tex]\frac{1}{24} = \frac{56}{x} \\cross \ multiply\\1 \times x=24 \times 56\\x=1334 bars[/tex]

This shows that 1334 bars were sold in all

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Can you guys please help me i dont understand

file:///C:/Users/home/Desktop/Downloads/Ch%207.5%20Notes%20Writing%20and%20Graphing%20Inequalities.pdf

Answers

Answer:

It tells the anwser for some questions.

Step-by-step explanation:

Lin is selling boxes of cookies. Each box costs 3.75. goal is to earn more than $30 selling cookies.

a. If Lin sells 6 boxes of cookies, will she make her goal?

b. If Lin sells 20 boxes of cookies, will she make her goal?

c. If Lin sells b boxes of cookies , write an inequality ( using the symbol < that will be true whenever Lin makes her goal, and false whenever she does not.

Answers

Answer:

A. no

B. yes

C. 30<b3.75

Step-by-step explanation:

A. 6x3.75=22.50

B. 20x3.75= 75

Answer please ASAP :))))

Answers

Answer:

good luck with maths! i know it can be tricky

Step-by-step explanation:

Answer:

0.056, 0.060, 0.560, 0.600, 6.00

Step-by-step explanation:

Place Value Chart

Tens ---- Ones --- Tenths ---- Hundredths ---- Thousandths

(think about where the values go in the chart)

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