Mathematics College

Use polynomial identities to factor 64 + 27a3.

Answers

Answer 1
I’m gonna assume the 3 next to a is an exponent since you can’t factor it if it’s not an exponent.
Note: use ^ before a number to tell the number after ^ will be an exponent. For example: 64+27a^3
Anyway let’s solve.
64+27a^3
Write in exponential form:
4^3+3^3 x3
Multiply the terms with equal exponents:
4^3+(3x)^3
Factor the expression using a^3+b^3=(a+b)(a^2-ab+b^2):
(4+3x)(4^2-4x•3x+(3x)^2)
Evaluate, calculate, and rewrite:
(4+3x)(16-12x+9x^2)

Related Questions

What is the equation?

Answers

Answer:

y=-x+2

Step-by-step explanation:

y-(-1)=-1(x-3)

y+1=-1x+3

y=-1x+3-1

y=-1x+2

Divide.
5.7 - 0.12
Enter your answer as a decimal in the box.
|| I
Mathematics

Answers

Answer:

47.5

Step-by-step explanation:

Find the missing dimension. Use the scale 1 : 8. Include units in your answer.

Model Length: 1.5 m

Actual Length:



























Answers

Answer:

12

Step-by-step explanation:

is

Goran needs to buy plastic forks. Brand A has a box of 12 forks for $1.12. Brand B has a box of 25 forks for $2.69.
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.

Answers

Brand A 1.12/12 = .093 rounds to .09 cents each.
Brand B 2.69/25 = .1076 rounds to .11 cents each
Brand A is the better buy because it is cheaper

simplify the expression (show ur work)

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt[3]{125y^9z^6}\\ \\ \sqrt[3]{5^3(y^3)^3(z^2)^3}\\ \\ 5y^3z^2[/tex]

Answer:

[tex]5 {y}^{3} {z}^{2} [/tex]

Write the equation of a line with the given slope and y intercept.

m = 4

b = -2​

Answers

Answer: y=4x-2

Step-by-step explanation:

Use the y=mx+b template to write the equation out. M is the slope which should be in front of x. This is why y=4x-2 is correct

What is the volume and surface are of a right circular cylinder with a diameter of 14 meters and a height of 9 meters

Answers

Answer: V≈1385.44m

Step-by-step explanation:  V=π(d2)2h=π·(142)2·9≈1385.44236m³

Find the area. 5 cm plsss help me I'll give u brainlest​

Answers

Answer:

The area of the circle with a radius of 5 cm is 78.5 cm2.

Step-by-step explanation:

Answer:

19.635

Step-by-step explanation:

diameter=2r

area of a circle is (pi)r2

d=5

r=5/2

pi(5/2)^2

pi(25/4)

19.635

hope that helps :)

10 x 1/2 + (-6) (-3)

Answers

Equation

10x1/2+(-6) (-3)

Answer

23

Leonel has $25.00 to spend. He decided to buy a hat for $18.75 and spend the rest on wristbands. If each wristband costs $4.75, how many wristbands can Leonel buy

Answers

Answer:

1

Step-by-step explanation:

25 - 18.75 = 6.25

6.25 - 4.75 = 1.50

he won't have any more money left

Answer:

1

Step-by-step explanation: So first you

What’s the correct answer?
15 points

Answers

prettyyyyyy sure it’s the 2nd one
Quite a easy one actually, it is the second option.

You are dealt one card from a standard 52-card deck. Find the probability of being dealt a seven and a jack The probability of being dealt a seven and a jack is ?

Answers

Answer:

2/13 chances

Step-by-step explanation:

4+4= 8/52->4/26->2/13

How are the height of the cylinder and the cone related.
A. they are nor related. B.the height of the cylinder is double the height of the cone. C. the height is the same in both solids.

Answers

Answer:  C. the height is the same in both solids.

Reasoning:

The diagram shows the height of each solid is 3 feet, so they are the same.

Answer:  C. the height is the same in both solids.

Reasoning:

The diagram shows the height of each solid is 3 feet, so they are the same.

Answer for brainliest

Answers

Answer:

D) (-9,-3)

Step-by-step explanation:

4(3y)-3y=-27

12y-3y=-27

9y=-27

y=-3

x=3(-3)=-9

Consider the first five terms of the following sequence.
2, 6, 18, 54, 162, ...
If the sequence defines a function, what is a reasonable domain and range of the function?
O A. Domain: all real numbers; Range: all real numbers
B. Domain: {1, 2, 3, 4, 5, ...}; Range: {2, 6, 18, 54, 162, ...}
C. Domain: {1, 2, 3, 4, 5, ...}; Range: all real numbers
O D. Domain: all real numbers; Range: {2, 6, 18, 54, 162, ...}

Answers

Answer:

B. Domain: {1, 2, 3, 4, 5, ...}; Range: {2, 6, 18, 54, 162, ...}

Step-by-step explanation:

2, 6, 18, 54, 162

This is a geometric sequence because it is increasing by multiplication. The common ration of the sequence is *3.

Our sequence values will serve as the y-values, or the range, and our x-values will be the term number.

Domain, or x-values: {1, 2, 3, 4, 5, ...}

Range, or y-values: {2, 6, 18, 54, 162, ...}

It is not A or D because we can't have negative term values. "All real numbers" implies all positive and negative integers.

The range also cannot be all real numbers for the same reason.

what is the r value of the following geometric sequence?
a. 1/2
b. 3
c. 1/3
d. 2
e. none of the above

Answers

Answer:

What is the geometric sequence?

Step-by-step explanation:

A standard card deck of 52 cards has four suits with 13 cards per suit. If one card is selected what is the probability that it is a diamond?​

Answers

Answer:

1/4 or 25%

Step-by-step explanation:

52 divided by 13 = 4

so 1/4 or 25%

do not give me the sample response tell me what you would think
The local business will donate $5.00 for every 10 tickets sold. Let x represent tickets sold, and y represents dollars donated. Student A claims that the equation is y = 2x. Student B claims that the equation is y = 1
2
x. Explain who is correct.

Answers

Answer:

y=2x

Step-by-step explanation:

x=number of ticket sold y = dollars donated

for every 10tickets sold 5 dollars would be donated

10x = 5y divide both sides by 5

2x = y. same as. y = 2x.

Evelyn packed this box with 1-inch cubes. Which expression does NOT show how Evelyn can find the volume of the box?

Answers

Answer:

2+3+6 is the incorrect expression

Answer: 2+3+6

Step-by-step explanation:

If you know how to do thisss plssss helpppp!!!

Answers

Answer:

y = -1/3 x + 2

Step-by-step explanation:

I got this from replicating the graph in Desmos. I hope this helps!

Puppy B weighs 8 pounds, which is about 75% of its adult weight. What will be the adult weight of Puppy B?

Answers

Answer:

Step-by-step explanation:

Let x be the adult weight of puppy B

75% of x =8 pounds

LOOK AT PIC AT THE BOTTOM

Puppy B weighs 8 pounds which is about 75% of its adult weight what will be the adult weight of puppy B. 1. See answer. Add answer+5 pts.

PLEASE ANSWER ANY PROBLEM ASAP THANK YOU SO MUCH

Answers

Answer:

1) No

2) Yes

3) angle UXS = 120 degrees

4) arc CB = 40 degrees

Step-by-step explanation:

If AB is tangent to the circle, then angle at A would be 90 degrees.

1)

Is 13^2 + 14.6^2 = 19.4^2?

169 + 213.16 = 376.36      No

2)

Is 8^2 + 6^2 = 10^2?

64 + 36 = 100      Yes

3)

arc WS = arc VU + arc TU = 113 degrees

arc ST = arc WV because their chords cross making a pair of vertical angles.

full circle = 360 degrees

360-113 - 113 = 134 degrees

134/2 = 67 degrees for arc ST

arc STU = 67 + 53 = 120 degrees

Angle UXS = 120 degrees

4) arc CB = arc FB =  40 degrees because their chords cross making a pair of vertical angles.

What expression is equivalent to (x-3)^2

Answers

Answer:(x-3)(x-3)

Step-by-step explanation:

26 is 65% of what number?

Answers

Answer:

40

Step-by-step explanation:

26 is 65% of 40

40 if u think about it 20 is 50%

5/8 + 3/10 = what would it be

Answers

This would equal 37/40 or 0.925 in decimal form
First find the common denominator.
5/8 • 5/5 + 3/10 • 4/4 =
Then combine denominators.
5•5+3•4 /40 =
Simplify.
25+12 /40=
37/40 or 0.925

omg please help i don’t know this.


Answers

Answer:

angle 2 and angle 10 - corresponding angles

angle 8 and angle 7 - linear pair

angle 1 and angle 5 - alt. exterior

angle 15 and angle 14 - consecutive interior

angle 12 and angle 6 - alt. interior

angle 16 and angle 10 - vertical

Please solve B, C, D, E, and F and I will give Brainliest!

Answers

Answer:

a. 125

b. 25/64

c. 0.25

d. 343

e. 49/4

f. 0.81

Step-by-step explanation:

multiply by the same number by the amount of times the power tells you

b. 5*5 = 25         8*8= 64

c. 5*5 = 25         0.5*0.5 = 0.25

d. 7*7*7 = 343

e. 7*7 = 49         2*2= 4

f. 9*9 = 81        0.9*0.9= 0.81

Round 694,553 to the nearest hundred thousand.​

Answers

Answer:

pretty sure its 700,000

The actual distance between two buildings is 125 feet.
How far apart are the buildings on a map that has a
scale of 1 : 100?
a. 1.25 in
b. 16 in.
C. 1.25 ft
d. 12,500 ft

Answers

The answer is D.
This is because you take 125 and multiply it by 100 to get 12,500 ft.

Together, angles A and B form a 90° angle. Angle A measures 54°. What is the measure of angle B?
Select one:

46°

26°

36°

56°

Answers

Answer:

36 degrees

Step-by-step explanation:

Subtract 54 from 90

Answer:

36

Step-by-step explanation:

a+b=90

if a=54 then insert a back into a+b=90

54+b=90

subtract the equation by 54

54-54+b=90-54

b=36

Hope that helps :)

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