Factor the following polynomial
a^4 b^3-a^3b^4 +a^2b^5

Answers

Answer 1

Answer:

a^2 b^3 (b^2 - a b + a^2)

Step-by-step explanation:

Factor the following:

a^2 b^5 - a^3 b^4 + a^4 b^3

Hint: | Factor common terms out of a^2 b^5 - a^3 b^4 + a^4 b^3.

Factor a^2 b^3 out of a^2 b^5 - a^3 b^4 + a^4 b^3:

Answer: a^2 b^3 (b^2 - a b + a^2)


Related Questions

Choose the best description for the real number 4 point 6 repeating . (4 points)

Question 2 options:

1)

Irrational, because it is a terminating decimal

2)

Irrational, because it is a repeating decimal

3)

Rational, because it is a terminating decimal

4)

Rational, because it is a repeating decimal

Answers

Answer:

4

Step-by-step explanation:

Irrational number are real numbers that do not end and cannot be written as a fraction.

4.66666...

can also be written as 4 2/3 therefore it is rational because it can be written as a fraction.

It is not a terminating decimal because it doesn't end(repeating).

On a map to cities are about 50 mm apart if the scale is 1 cm equals 15.5 miles how far apart are the two cities

Answers

Given:

On a map to cities are about 50 mm apart.

Scale is 1 cm equals 15.5 miles.

To find:

The distance between two cities.

Step-by-step explanation:

We have,

1 cm = 15.5 miles

It means

10 mm = 15.5 miles             [1 cm = 10 mm]

Now,

10 mm on a map = 15.5 miles

1 mm on a map = [tex]\dfrac{15.5}{10}[/tex] miles

                          = 1.55 miles

50 mm on a map = 50 × 1.55 miles

                            = 77.5

Therefore, the two cities are 77.5 miles apart.

44 Points Please help me on this

Answers

Answer:

Yes.

Step-by-step explanation:

This is because on a protractor a 180 degree angle is just a line.

which expression is equivalent to the given expression. -2x + 8x-9+4x+7x+2

Answers

Answer:

17x - 7

Step-by-step explanation:

-2x + 8x - 9 + 4x + 7x + 2

6x - 9 + 4x + 7x + 2

6x - 9 + 11x + 2

17x - 9 + 2

17x - 7

Answer:

5x^(2)+12x-7

Step-by-step explanation:

Plato/Edmentum

A triangle has exactly three sides. Prove the conditional by proving the contrapositive. If a polygon has more than three sides, then it is not a triangle. Contrapositive: If _____, then _____. Since ______, the contrapositive is _____, the original statement must be _____.

Answers

Answer:

If a polygon is a triangle, then it has exactly three sides

Since as have been presented above, the contraposition is true, the original statement must be true

Step-by-step explanation:

The contrapositive statement; If a polygon has more than three sides, then it is not a triangle

We have that the definition of a triangle = A polygon with exactly three sides

Therefore;

A polygon with more than three sides is not a triangle and has (n - 1)/2×180 degrees interior angle, where n = The number of sides

Therefore, when n > 3, (n - 2)/2×180 > 180°

The sum of interior angles of a triangle = 180°

Therefore, the contrapositive statement, if a polygon has more than three sides, then it is not a triangle is true

Therefore, we have;

If a polygon is a triangle, then it has exactly three sides

Since as have been presented above, the contraposition is true, the original statement must be true

Consider the following Expression.
6x-9x-2=-2x-2
What is the value of x?

Answers

Answer:

The answer is X = 0

x=0

Another easy way to get the answer if you’re too lazy to do the work or don’t get it at all is so to go to an math app

There are 14 girls and 21 boys in Mrs. Andrews’s gym class. To play a certain game, the students must form teams. Each team must have the same number of boys and girls. What is the greatest number of teams Mrs. Andrews can make if every student is on a team?

Answers

Answer:

7 teams of five with 2 girls and 3 boys

If y varies directly as x and the constant variation is -2, which equation represents this relationship?
please answer by 11:59 10-5-2020

Answers

Answer:

y = -2x

Step-by-step explanation:

If y varies directly with x, it is:

y = kx

Constant is -2, it means k= -2

y = - 2x

What is the slope of the line that passes through the points (-1,-10) and (-1,-2)? Write your answer in simplest form.

Answers

Answer: undefined

Step-by-step explanation:

SOMEONE HELP ME PLZ ASAP!!!!​

Answers

A=22cm

B=21cm

C=23cm

Good luck

Write and graph an inequality for the given solution set {n∣n≥−2}

Answers

Answer:

Explanation:

An inequality is used to represent unequal expressions or numbers. An inequality with the solution set [tex]n \ge -2[/tex] is: [tex]2n - 6 \ge -10[/tex]

Given that:

[tex]n \ge -2[/tex] --- the solution

To generate an inequality with the above solution, we do the following:

Subtract 3 from both sides of the inequality

[tex]n - 3 \ge -2 - 3[/tex]

[tex]n - 3 \ge -5[/tex]

Several operations can be carried out. The most important thing to note is that, whatever operation is done on the right-hand side of the inequality must be done on the left-hand side.

We can also multiply both sides by 2

[tex]2 \times (n - 3 )\ge -5 \times 2[/tex]

[tex]2n - 6 \ge -10[/tex]

Hence, an inequality with the solution set [tex]n \ge -2[/tex] is:

[tex]2n - 6 \ge -10[/tex]

See attachment for graph

Read more about inequality at:

https://brainly.com/question/24457639

Which of the following is the pythagorean theorem?

Answers

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the pythagorean theorem is a^2+b^2=c^2, where a and b are the legs and c is the hypotenuse. this translates to "the sum of the squares of both legs is equal to the hypotenuse squared".

what is the equation of a like that goes through the point 5,-2 and has a slope of. 6/5

Answers

Answer:

y= 6/5x -8

Step-by-step explanation:

The slope-intercept form (basically the form for the equation of a line)

y=mx+b

m is the slope

x is the value you want to plug in, or the x term in a point (x, y)

we know so far,

y=6/5x + b

so to find the missing value let's plug in the x & y value from (5, -2) and use the given slope

-2 = 6/5(5) + b

6 / 5    x    5/1     or   6/5 times 5    is      30/5    or    6

so

-2 = 6 + b

subtract 6 from each side to isolate the b value or y-intercept ( the point on the graph that is on the y-axis)

-8 = b

Help asap
1) To which set of numbers does the number belong? Choose all the sets to which it belongs. -5.2

a)Natural

b)Whole

C)integer

d)rational

e)irrational

f)real

2)To which set of numbers does the number belong? Choose all the sets to which it belongs. -4

a)Natural

b)Whole

C)integer

d)rational

e)irrational

f)real

3) To which set of numbers does the number belong? Choose all the sets to which it belongs. -4.3212........

a)Natural

b)Whole

C)integer

d)rational

e)irrational

f)real

4) To which set of numbers does the number belong? Choose all the sets to which it belongs. square root of 4

a)Natural

b)Whole

C)integer

d)rational

e)irrational

f)real

5) To which set of numbers does the number belong? Choose all the sets to which it belongs. square root of 7

a)Natural

b)Whole

C)integer

d)rational

e)irational

f)real

Answers

Answer: (1) d, f     (2) c, d, f     (3) e, f      (4) a, b, c, d, f     (5) e, f

Step-by-step explanation:

a) Natural Numbers:            1, 2, 3, ...

b) Whole Numbers:          0, 1, 2, 3, ...     (add zero to the Natural numbers)

c) Integers:   ..., -3, -2, -1, 0, 1, 2, 3, ...   (add negatives to the Whole numbers)

d) Rationals: Add terminating and repeating decimals to Integers.

************

e) Irrationals: Non-repeating decimals that are non-terminating.  This is its own category so cannot be a Rational number or above.

f) Real Numbers: ALL of the above (a - e) are Real numbers.

1) -5.2  has a terminating decimal so it is a RATIONAL number.

2) -4  is below zero so is an INTEGER which means it is also a RATIONAL #

3) -4.3212... is a non-terminating decimal so it is an IRRATIONAL number

4) [tex]\sqrt4[/tex] = 2 is a NATURAL number which means it is also a WHOLE number, INTEGER, and RATIONAL number.

5) [tex]\sqrt7[/tex]  is a non-terminating decimal so it is an IRRATIONAL number

What is the value of K? k=___​

Answers

Answer:

I'm pretty sure the answer is 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

In triangle LON, <O = 90°

According to Pythagoras' Theorem

(Hyp)² = (Base)² + (Perp)²

m² = 4² + 8²

m² = 16 + 64

m² = 80

Taking square roots on both sides

√m² = √80

m = 8.94

In triangle LMN, <N = 90°

According to Pythagoras' Theorem

(Hyp)² = (Base)² + (Perp)²

(8 + k)² = l² + 4²

Jackie and Luke are working on a project for social studies.
They create a slide show with 250 slides. if they worked on it for 8 hours,

How many slide did they created per hour?​

Answers

Answer:

31.25 slides per hour.

Step-by-step explanation:

250 slides ÷ 8 hours = 31.25 slides per hour

You're welcome!

Answer:

You are trying to find how many slides they did per hour so the answer to that would be 31.25

Step-by-step explanation:

250 ÷ 8 = 31.25

i need help on the multi choice answer

Answers

It’s the last one, because C(total cost)= 2h (hours) + 15

Simplify 28/72 please real quick I need help

Answers

Answer:

7/18

Step-by-step explanation:

[tex]\frac{28}{72} /\frac{4}{4} =\frac{7}{18}[/tex]

7 is prime, so this can not be simplified further (since 18 is also not divisible by 7).

For the equation, complete the given ordered pairs.

x=−8

( ,6), ( ,-2), ( ,0)

Answers

Answer:

  (-8, 6), (-8, -2), (-8, 0)

Step-by-step explanation:

The equation tells you that x = -8, regardless of the value of y. Every missing value is -8.

Given the function f(x)=3x-1, what is f(3) ? Group of answer choices:
32
9
8
5

Answers

Answer:

8

Step-by-step explanation:

just substitute it in the equation and you will find the answer

Answer:

8

Step-by-step explanation:

Step 1:

f ( x ) = 3x - 1     Function

Step 2:

f ( x ) = 3 ( 3 ) - 1     Input x

Step 3:

f ( x ) = 9 - 1     Multiply

Answer:

f ( x ) = 8

Hope This Helps :)

Solve for y 2x-5y=10

Answers

Answer:

y = 2/5x - 2

Step-by-step explanation:

Step 1: Write equation

2x - 5y = 10

Step 2: Solve for y

Subtract 2x on both sides: -5y = 10 - 2xDivide both sides by -5: y = -2 + 2/5xRewrite: y = 2/5x - 2
y= 2/5x-2
explanation:
write the equation out—

-5y=10-2x

subtract 2x from both sides —

-5y=10-2x

divide both sides by -5 —

y=-2+2/5x

rewrite your equation —

y= 2/5x-2

how much is 3375.9 missing to reach 6567.66 , in scientific notation​

Answers

Answer: 3.19176 * 10^3

Step-by-step explanation:

Step 1: Subtract 3,375.9 from 6,567.66 = 3191.76

Step 2: Convert 3191.76 to scientific notation

Note: The purpose of scientific notation is to make big numbers into small numbers by moving the decimal point and then showing how many decimal places you moved by using powers of ten.

Step 3: Move the decimal 3 places to the left, and multiply by 10^3.

3.19176 * 10^3

2 (t -3) ² - 72=0?
Math by extracting square roots​

Answers

Answer:

2(t-3) ^2 = 72

(t - 3)^2 = 36

t - 3 = 6 or t - 3 =-6

t = 6+3 = 9. or t =-6 +3 = -3

t = 9 or -3

We have that

The Value of t is

t=9

From the question we are told

2 (t -3) ² - 72=0

In Answering the Question we must follow these few steps

Firstly we must make t the subject of the FormulaSecondly,We perform the necessary arithmeticFinally,The value of t will be gotten

Generally the derivation of t is mathematically given as

[tex](t-3)^2=\frac{72}{2}\\\\t-3=\sqrt{\frac{72}{2}}\\\\t-3=6\\\\t=9[/tex] [Firstly we must make t the subject of the Formula

Firstly we must make t the subject of the FormulaSecondly,We perform the necessary]

Therefore

The Value of t is

t=9 [Finally,The value of t will be gotten]

For more information on this visit

https://brainly.com/question/23366835

after taking a test, mias grade dropped from 85% to 81%

Answers

The answer is Jessica.

Answer:

I would say Jessica

Step-by-step explanation:

Because Mia's grade dropped by 4% and Jessica's grade increased by 5%

1% difference in the grades

Evaluate the expression:
3(a + b - 3) - 2(2a + b - 4) when a = -1 and b = 1

Answers

Answer:

1

Step-by-step explanation:

What’s the mathematical expression for “ three times x no less than 9”

Answers

Answer:

not simplified: 3x≤9

simplified: x≤3

Here are some letters and what they represent. All costs are in dollars. M represents the cost of a main dish n represents the number of side dishes s represents the cost of a side dish t represents the total cost of a meal What does ns = 6 mean in this situation?

Answers

Answer:

[tex]ns=6[/tex] means total cost of side dishes is equal to 6.

Step-by-step explanation:

M represents the cost of a main dish.

n represents the number of side dishes.

s represents the cost of a side dish.

t represents the total cost of a meal

Total cost of side dishes = Cost of a side dish × Number of side dishes = ns

Therefore,

[tex]ns=6[/tex] means total cost of side dishes is equal to 6.

What is the product of 25 and –6? –150 –19 19 150

Answers

Answer:

the answer would be -150

Step-by-step explanation:

You can multiply 25 times -3 and get -75 and multiply that by 2 and get -150

Answer:

A -150

hope it helps

;)

Solve the equation f(x)= g(x) algebraically.
f (x)= In e2x+2
g(x)= 3x - 3

Answers

No entiendo inglés podes traducirlo para ayudarte

how to make something a subject ​

Answers

Answer:

I dont understand the question?

Step-by-step explanation: your trying to pick a subject??

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