Use the sum of cubes identity to write this polynomial expression in factored form:
8x3 + 27.

Answers

Answer 1

Answer:

8*3+27=2³*3+3³

Step-by-step explanation:

2³=8

3³=27

8*3+27=2³*3+3³


Related Questions

Am I starting this off right? What does it mean to find instantaneous velocity?

Answers

Answer:

yesv(t) gives the instantaneous velocity at time t

  (a) correct

  (b) -48 ft/s

  (c) -32 ft/s; -64 ft/s

  (d) 9.257 s

  (e) -296.216 ft/s

Step-by-step explanation:

You are given an equation of motion and asked to find velocity and time at different points in the motion. This requires you differentiate the position function to find velocity, and that you solve the position function to find the time at a particular position.

__

(a)

The coin is "dropped", so is presumed to have no initial velocity. The initial height is given as 1371 feet. Putting these values into the given equation, you have ...

  s(t) = -16t² +1371

The velocity is the derivative of this function:

  v(t) = -32t

__

(b)

The average velocity on an interval is the change in position divided by the change in time:

  (s(2) -s(1))/(2 -1) = ((-16·2² +1371) -(-16·1² +1371))/1 = -16(4 -1) = -48 . . . ft/s

(Note: the average velocity for a quadratic position function is the velocity at the midpoint of the interval: v(1.5) = -32(1.5) = -48 . . . ft/s.)

__

(c)

Use the velocity function you found in part (a) to determine the instantaneous velocity at the given times:

  v(1) = -32(1) = -32 . . . ft/s

  v(2) = -32(2) = -64 . . . ft/s

__

(d)

The coin will reach the ground when s(t) = 0. Solving for t, we find ...

  s(t) = 0

  -16t² +1371 = 0

  1371 = 16t²

  t = √(1371/16) = (√1371)/4 ≈ 9.257 . . . . seconds

__

(e)

The velocity at impact will be ...

  v(√1371/4) = -32(√1371/4) = -8√1371 ≈ -296.216 . . . ft/s

Consider the points plotted on the number line shown.
PLS HELP ILL GIVE 5 STARS

Answers

Answer:

false

true

true

sorry i just need more characters

The answer is - False, True, True

What is the area of the triangle? 5 in. 3 in 4in O 6 square inches O 7-square inches O 10 square inches O 12 square ches ​

Answers

Answer:

-------------------Heya Kjowanpreet!--------------

[tex] \large{ \tt{ \star\: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]

GiveN :

Sides of the triangle : 3 in , 5 in and 4 ft

To FinD :

Area of the provided right angled triangle

FormulA :

Area of right angled triangle = 1/2 b × p where b = base & p = perpendicular. Here , Perpendicular = 3 in and base = 4 in

SolvinG :

[tex] \large{ \boxed{ \bf{Area \: of \:right \: angled \: triangle : \frac{1}{2} b \times p }}}[/tex]

[tex] \longrightarrow{ \tt{} \frac{1}{2} \times 3 \times 4}[/tex]

[tex] \longrightarrow{ \boxed{ \tt{6 \: in ^{2} }}}[/tex]

Yay ! Finally , We solved. Our final answer is 6 square inches.

-------------HappY LearninG <3 ---------------

[tex]\bold{ANSWER:}[/tex]
6 inch^2

[tex]\bold{EXPLANATIONS:}[/tex]

What is the value of 7-1* 0+3/3

Answers

Answer:

six!!! OBVIOUSLY BECUASE everything is made of dogs.

Step-by-step explanation:

lol sorry caps but it was kinda obvious ngl

A school playground is in the shape of a parallelogram. The base of the parallelogram is six times as long as the height. The area of the playground is 5040 square feet. What is the length of the longer side of the playground? Round to the nearest foot.
Hint : Use A = bh.
180 ft
30 ft
840 ft
174 ft

Answers

Answer:

Option D, 174 ft

Step-by-step explanation:

Step 1:  Create an equation

[tex]B = 6H[/tex]

[tex]Area = (6H) * H[/tex]

Step 2:  Divide both sides by 6

[tex]5040\ ft^2 = 6H^2[/tex]

[tex]\frac{5040\ ft^2}{6} = \frac{6H^2}{6}[/tex]

[tex]840\ ft^2 = H^2[/tex]

Step 3:  Square root both sides

[tex]\sqrt{840\ ft^2} = \sqrt{H^2}[/tex]

[tex]29\ ft = H[/tex]

Step 4:  Find the base

[tex]A = B * H[/tex]

[tex]5040\ ft^2 = B * 29\ ft[/tex]

[tex]\frac{5040\ ft^2}{29\ ft} = \frac{B*29\ ft}{29\ ft}[/tex]

[tex]174\ ft = B[/tex]

Answer:  Option D, 174 ft

Which set of data has the same mode and median?
6, 7, 7, 8, 9
2, 2, 3, 4, 6
3, 4, 6, 7, 8
3, 3, 4, 5, 5​

Answers

Answer:

A) 6, 7, 7, 8, 9

Step-by-step explanation:

Median: the middle number in a data set

Mode: the number that appears most frequently in a data set

Choices:

A) 6, 7, 7, 8, 9

B) 2, 2, 3, 4, 6

C) 3, 4, 6, 7, 8

D) 3, 3, 4, 5, 5​

A) 6, 7, 7, 8, 9

Median: 7

Mode: 7

B) 2, 2, 3, 4, 6

Median: 3

Mode: 2

C) 3, 4, 6, 7, 8

Median: 6

Mode: 3, 4, 6, 7, 8 <== as they all appear once

D) 3, 3, 4, 5, 5​

Median: 4

Mode: 3 and 5

Therefore, the correct answer is A, as it has a median and mode of 7.

Hope this helps!

Consider the following information:


Rate of Return If State Occurs
State of Probability of
Economy State of Economy Stock A Stock B
Recession .18 .07 − .18
Normal .55 .10 .11
Boom .27 .15 .28


a.
Calculate the expected return for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

b. Calculate the standard deviation for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

a.stock A expected return ____%
stock B expected return ____%
b.stock A standard deviation ____%
stock B standard deviation ____%

Answers

B because your not rounding and in this case you need to intermediate the calculations

find the value of this expression if x=7 x2 +6/x-2

Answers

I think it’s 4.
If it’s wrong I’m so sorry!

Thabo bought bread for R9,50, sweets RO,50, biscuits for R2,75 and coldrink for R11,35. a) How much did Thabo spend at the shop? b) If Thabo had R50, how much was his change?​

Answers

Answer:

A) R24.10
B) R25.90

((ASSUMING THERES NO TAXES WITH THE PAYMENT))

Step-by-step explanation:
A)

first add up the costs of each item to get the ttal cost with addition as follows...

9.50 + 0.50 + 2.75 + 11.35 ((Adding like terms by adding 0.50 to 9.50 equaling 10.00))

10.00 + 2.75 + 11.35 ((adding the more simple options togeter since .75 is a more common fraction at 3/4))

12.75 + 11.35 ((finnishing off the system by adding the last two numbers together equaling to 24.10))

therefore Thabo spent a total of 24.10

B)
to find out the change, all we need to do is subtract the total cost from the total amount Thabo used to pay as shown below

50.00 - 24.10

in conclusion, Thabo would have R25.90 in change from the transaction ((assuming theres no tax))

Solve: −(2/3a−1/3)+53a=−4

Answers

Answer:

a=-13/157open the brackets:_2/3a+1/3+53a =_4. 53a_2/3a=_4_1/3. 157/3a=_13/3 which is;a=_13/157

Which statement is true? Question 16 options: A) |–3| = 3 and |–4| = –4 B) |–3| = 3 and –|4| = 4 C) –|3| = 3 and |4| = 4 D) |–3| = 3 and –|–4| = –4

Answers

B: -3 = 3 and -4 = 4

-3 is the opposite of 0 and the same is for -4. So its B

Select the statement that makes this comparison correct: 0.45 ________ 0.39. (2 points)
0.39 > 0.45
0.45 > 0.39
0.45 < 0.39
0.39 = 0.45

Answers

Answer: 0.45 > 0.39

SURE HOPE THIS HELPS YOU :)

Give love

4) Cody invests $2,733 in a retirement
account with a fixed annual interest rate of
9% compounded 12 times per year.
How
long will it take for the account balance to
reach $9,589.78?

Answers

Answer:

t = 14 years

Step-by-step explanation:

r = R/100

r = 9/100

r = 0.09 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(9,589.78/2,733.00) / ( 12 × [ln(1 + 0.09/12)] )

t = ln(9,589.78/2,733.00) / ( 12 × [ln(1 + 0.0075)] )

t = 14 years

Summary:

The time required to get a total amount of $9,589.78 with compoundeded interest on a principal of $2,733.00 at an interest rate of 9% per year and compounded 12 times per year is 14 years.

Strawberries cost $1.19 per pound. What is the cost of 2.16 pounds of strawberries?

PLEASEEE HELPPPP

Answers

Answer:

$ 2.57

Step-by-step explanation:

1.19 $/pound  * 2.16 pound =

5. Kiran is solving the equation Vx+ 2 – 5 = 11 and decides to start by squaring both sides. Which equation results if Kiran squares both sides as his first step? A. x + 2 – 25 = 121 B. x + 2 + 25 = 121 х C. x + 2 – 107x + 2 + 25 = 121 = х = D. x + 2 + 107x + 2 + 25 = 121 (From Unit 3, 9.)​

Answers

The equation that results if Kiran squares both sides as his first step is gotten as; x + 2 - 10√(x + 2) + 25 = 121

How to simplify algebra?

We want to simplify the expression;

[√(x + 2)] - 5 = 11

Squaring both sides is;

([√(x + 2)] - 5) * ([√(x + 2)] - 5) = 11 * 11

x + 2 - 10√(x + 2) + 25 = 121

Thus, the correct answer is;

x + 2 - 10√(x + 2) + 25 = 121

Read more about Algebra at; https://brainly.com/question/4344214

#SPJ1

How to solve this without a calculator

Answers

Answer:

B. -3/2

Explaination:

pls help i really did it plssssssssss

Answers

Answer:

D

Step-by-step explanation:

You can combine like terms meaning (8x+14)+ (9x-5) is 17x+9

Hi!

Given:

[tex](8x+14) + (9x-5)[/tex]

As we are adding the two groups, we can safely take them out of parentheses, as none of the signs will change:

[tex]8x+14+9x-5[/tex]

Now, we can rearrange them to make it easier, placing like terms next to each other:

[tex]8x+9x+14-5[/tex]

Now, add like terms:

[tex]17x+9[/tex]

Therefore, your answer is D.

A cafeteria is in the shape of a rectangle. The length of the rectangle is four times its width. The area of the cafeteria is 14,800 square feet. What is the length of the cafeteria? Round to the nearest foot.
Hint: Use A = LW.
A. 243 Ft.
B. 61 FT.
C. 370 FT.
D.121 FT.

Answers

Answer:

Option A, [tex]L = 243\ ft[/tex]

Step-by-step explanation:

Step 1:  Create an equation

[tex]Length = 4 * Width[/tex]

[tex]Area = (4 * W) * W[/tex]

[tex]Area = 4 W^2[/tex]

Step 2:  Solve for W

[tex]14800\ ft^2 = 4 W^2[/tex]

[tex]\frac{14800\ ft^2}{4} = W^2[/tex]

[tex]3700\ ft^2 = W^2[/tex]

[tex]\sqrt{3700\ ft^2} = \sqrt{W^2}[/tex]

[tex]61\ ft = W[/tex]

Step 3:  Solve for L

[tex]Length = 4 * Width[/tex]

[tex]L = 4 * 61\ ft[/tex]

[tex]L = 243\ ft[/tex]

Answer:  Option A, [tex]L = 243\ ft[/tex]

Select the correct questions.
Which questions are statistical questions?
Which subjects do the students What is the number of students What is the height of each
in my class like?
in my class?
student in my class?
How many servings of fruit did
l eat each day this month?
What is my favorite color?
What is my mother's favorite
fruit?
What is my height?
What is the highest temperature
of each month this year?
How many students from each
school in this city love football?

Answers

Answer:

Step-by-step explanation:

I will give each that is a statistical question

Subject the students in my class like.

Number of students in my class (as you could compare to another class)

height of each student

serving of fruits eaten in that month

Perhaps height (As you could compare it to the average height)

Highest temp. of each month this year.

How many students love football.

Answer:

Statistcial Questions -

Which subjects do the students like

What is the height of each student

What is the highest temperature

of each month this year?

How many students from each

school in this city love football?

Step-by-step explanation:

1. determine if the functions are inverse functions
f(x) = x+6
g(x) = x-6
2. determine if the functions are inverse functions
f(x) = -3x-9
g(x) = -1/3x-3

Answers

Answer:

Question 1

The function [tex]f(x) = x + 6[/tex] is one-to-one, so it does have an inverse.

The inverse of +6 is -6, so [tex]f^{-1}(x)=x-6[/tex]

Therefore, g(x) is the inverse of f(x).

Question 2

The function [tex]f(x) = -3x -9[/tex] is one-to-one, so it does have an inverse.

To find the inverse, replace f(x) with y:

[tex]\implies y = -3x -9[/tex]

Rearrange the equation to make x the subject:

[tex]\implies y+9= -3x[/tex]

[tex]\implies x=-\dfrac13(y+9)[/tex]

[tex]\implies x=-\dfrac13y-3[/tex]

Replace x with [tex]f^{-1}(x)[/tex] and y with x:

[tex]\implies f^{-1}(x)=-\dfrac13x-3[/tex]

Therefore, g(x) is the inverse of f(x).

WILL GIVE BRAINLIEST IF ANSWER. PLEASE HELP ITS A 6TH GRADER QUESTION

Answers

Smallest -> Largest
0.12 mm < 10.4 mm < 102 mm < 125 mm

Answer:

SMALLEST TO GREATEST

102 mm --> 125 mm --> 10.4 cm --> 0.12 m.

Explanation:

Millimeters (mm) is smaller than centimeters (cm). Centimeters are smaller than meters (m).

And, since both 125 mm and 102 mm has the same units of measurement, 125>102.

So, 102 goes in front of 125.

And then the rest of the order is completed by comparing the units of measurement.

I hope it helps!! :D

7. Saturday night, Larry is attending the concert of his favorite rock band. Tickets were $250 plus 6% tax. Parking is $20 for the evening. While there, Larry purchases a T-shirt for $35 plus 7% tax and a meal with a beverage for $25. How much did he spend altogether to attend the concert?​

Answers

Answer:

$347.45

Step-by-step explanation:

total = tickets + parking + t shirt + meal

tickets = 250 + 6% tax

6% tax is of 250, so this is equal to

250 + 6% of 250

6% = 0.06 because we divide by 100 to convert to a decimal from a percentage

thus, tickets = 250 + 0.06 of 250 = 250 * 1 + 0.06 * 250 + 1.06 * 250 = 265

parking = 20

use a similar strategy from the tickets and apply that to the t shirt

t shirt = 35 + 7 % tax = 35 + 0.07 * 35 = 1.07 * 35 = 37.45

meal = 25

total = 265 + 20 + 37.45 + 25 = $347.45

Oliver's total monthly budget is shown in the circle graph below


Oliver's monthly budget is 2500 how much money does he save each month​

Answers

The amount of money Oliver saves each month
= 2500 x 25%
= $625

Please help me feedback is appreciated thank u!!

Answers

Answer:

1/64

Step-by-step explanation:

1/4*1/4*1/4 since as you tell me there are

2 of each, which is 1/4 I will do the same thing 3 times.

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

Answers

Answer:

6.63 ft

Step-by-step explanation:

10² + h² = 12²

h² = 12² - 10²

h² = 144 - 100

h = √(44)

h = 2√11

6.63325 ft

BRAINLIEST please if this helped!

Bha A quadrilateral has two sides that in measure 14 centimeters and two sides that measure 5 centimeters. Two angles measure 110°. The other two angles measure 70°. The congruent angles are opposite. The congruent sides are parallel. What kind of quadrilateral is it?​

Answers

Answer:

  parallelogram

Step-by-step explanation:

A kite will have two pairs of congruent sides. An isosceles trapezoid will have two pairs of congruent angles.

When the congruent angles are opposite and adjacent angles are supplementary, opposite sides must be parallel and congruent. The figure must be a parallelogram.

the function f(x)=-x is shown on the graph whixh statement is correct

the range of the graph is all real numbers less than or equal to zero
the domain of the graph is all real numbers less than or equal to zero
the domain and range of the graph are the same
the range of the graph is all real numbers​

Answers

Answer:

the range of the graph is all real numbers less than or equal to zero

Step-by-step explanation:


Jane rode a bike at a rate of 15 miles per hour. What was her speed in feet per second?
17ft/sec
22ft/sec
10.2ft/sec
1320ft/sec

Answers

Answer:

22ft/sec

Step-by-step explanation:

proportional rel.

Answer:

her speed was 22ft per second

taking a photo of 3 questions! Please help! with ALL answers if possible! I’m putting it at 30+ points

Answers

Answer:

3 for City A and 6 for City B.

Step-by-step explanation:

All you have to do is look where it stands bye.

Hope this helps!

Nancy wants to buy a sweater that is priced at $75. If the store is running a 60% off sale, what will be the
amount of the discount and the sale price of the sweater?

Answers

Answer:

$30.00

Step-by-step explanation:

The original price of the sweater is $75.00.  The new sale price is the original price of  100% less  60% of the original price.  That means the sales price is 40% of the original price.

You can do this 2 ways:

1.  $75 x 60% or .60 = $45

  $75-45 = $30

or

2.  $75 x 40% or .40 = $30

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