What are the greatest common factor of 9a^b and 30ab^3?​

Answers

Answer 1
The GCF would be 3a^b
Answer 2

Answer: 3ab   IF a^b does NOT mean a to the power of b!

I believe you mean  9a²b and 30ab³

If you really mean 9aᵇ and 30ab³,  then the GCF is 3a.

Step-by-step explanation:

the factors of  9 are 3*3  The factors of 30 are 2*3*5.

The only common factor of 9 and 30  is 3

a is a common factor of a and a²

b is a common factor of b and b³


Related Questions

Find one root of the following equation x2 + 8x - 9 = 0​

Answers

Answer: was just for a challenge

Step-by-step explanation:

no

Step-by-step explanation:

[tex]x {}^{2} + 8x - 9 = 0 \\ {x}^{2} - x + 9x - 9 = 0 \\ x(x - 1) + 9(x - 1) = 0 \\ (x + 9)(x - 1) = 0 \\ x = 1 \: and \: \: \: \: - 9[/tex]

A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $14,000, and the variable cost for producing x pagers/week in dollars is represented by the function V(x). $ V(x) = 0.000001x^3 - 0.01x^2 + 50x $ The company realizes a revenue in dollars from the sale of x pagers/week represented by the function R(x). $ R(x) = -0.02x^2 + 150x \; \quad \; (0 \leq x \leq 7500) $ (a) Find the total cost function C. What is the profit for the company if 2,600 units are produced and sold each week?

Answers

Answer:

P=$-303,424

Step-by-step explanation:

given data

fixed cost= $14,000

variable cost function

[tex]V(x) = 0.000001x^3 - 0.01x^2 + 50x[/tex]

revenue function

[tex]R(x) = -0.02x^2 + 150x \; \quad \; (0 \leq x \leq 7500)[/tex]

a. we know that total cost C=fixed cost plus variable cost

C=14000+0.000001x^3 - 0.01x^2 + 50x

[tex]C=14000+0.000001x^3 - 0.01x^2 + 50x[/tex]

profit is given as revenue minus the total cost

P=R(x)-C   (x=2600)

[tex]P=-0.02x^2 + 150x -(14000+0.000001x^3 - 0.01x^2 + 50x)[/tex]

substitute x=2600

[tex]P=-0.02(2600)^2 + 150(2600) -(14000+0.000001(2600)^3 - 0.01(2600)^2 + 50(2600))[/tex]

[tex]P=-135200+390000-(1400+17576-67600)[/tex]

[tex]P=-254800-(48624)\\\\P=-254800-48624\\\\P=-303,424[/tex]

21 divided 3/8

PLZ HELP!

Answers

Answer:

56

Step-by-step explanation:

What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = 1/5x^2 +12?
O A. The graph of f(x) is horizontally compressed by a factor of 5 and
shifted 12 units up.
O B. The graph of f(x) is horizontally stretched by a factor of 5 and
shifted 12 units to the left.
C. The graph of f(x) is vertically compressed by a factor of 5 and
shifted 12 units up.
O D. The graph of f(x) is vertically compressed by a factor of 5 and
shifted 12 units to the left.
PREVIOUS

Answers

The answer is A. when you compress horizontally you take it by a factor of 1/a. in this case a=5. 12 is your k value and k decides whether or not you shift up or down, because k is positive or is upward by 12

As per transformation of graph, h(x) = ([tex]\frac{1}{5}[/tex])x² + 12 represents that the graph of f(x) is horizontally compressed by a factor of 5 and shifted up 12 units.

What is the transformation of a graph?

"Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph. It's a common type of problem in algebra, specifically the modification of algebraic equations.

Given, the graph is f(x) = x².

We know that, at the time of horizontally compressing a graph we need to multiply it by a factor of ([tex]\frac{1}{a}[/tex]).

Again, at the time of shifting a graph up we need to add a positive number of (b).

Therefore, a = 5 and b = 12.

Now, if we horizontally compress f(x) it by a factor of ([tex]\frac{1}{5}[/tex]) then it be ([tex]\frac{1}{5}[/tex])x².

Again,  if we shifted up f(x) by 12 units, then it be ([tex]\frac{1}{5}[/tex])x² + 12.

Therefore, h(x) = ([tex]\frac{1}{5}[/tex])x² + 12 represents that the graph of f(x) is horizontally compressed by a factor of 5 and shifted 12 units up.

Learn more about the transformation of a graph here: https://brainly.com/question/10059147

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solve for x I need help on questions 5 & 6

Answers

Answer:

#5 x=8, #6 x=5

Step-by-step explanation:

Theyre vertical so for number 5 you would have the equation

5x+15=55

    -15   -15 from both sides

5x=40

divide by 5 from both sides and you get

x=8

Same thing vertical so you would have  

16x+7=87

    -7    -7 from both sides

16x=80

divide by 16 from both sides

x=5

HELP HAVING A BAD DAY

Anna is x years old and her sister, Jane, is y years younger.
How old was Anna when her sister was born?

Answers

Answer:   x-y   years old

========================================================

Explanation:

Let's use numbers in place of the variables

Let's say Anna is 25 years old and her sister Jane is 5 years younger.

This means Anna was 25-5 = 20 years old when Jane was born.

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

As another example:

Anna = 37 years old

Jane = 10 years younger

Anna was 37-10 = 27 when her sister was born

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

The examples show that all we do is subtract the x and y values to figure out how old Anna was when her sister was born.

For the first example, we basically did x-y = 25-5 = 20

The second example was x-y = 37-10 = 27

A variable is placeholder for a number. Think of it as a box where a single number will go inside.

Answer:

0+y

Step-by-step explanation:

When Jane was born, Anna was y years old because Jane was 0 years old. That is why the Answer if y or 0+y. But I think the 0+y is more accurate.

Can somebody plz answer this question quick and correctly!

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :D

Answers

Answer:

42%

Step-by-step explanation:

100% - 58% = 42%

HURRY PLZ 20 POINTS AND BRAINLIEST TO FIRST CORRECT ANSWER For dinner, Abelita chooses the Italian salad that costs $3.99 before tax, and Franco chooses the fettuccini alfredo that costs $7.17 before tax. If the sales tax is 5 percent, explain how to find the total cost for their dinner.

Answers

Answer: First, add 3.99 + 7.17. Then take the sum of those two numbers and multiply it by .05 to get 0.55. Since we are dealing money, round to the nearest hundredth to get .56. Add the sum of 3.99 and 7.17 (11.16) and .55 to get a total of 11.71. Therefore the total cost of their dinner, including tax, was $11.71.

Step-by-step explanation:

if the perimeter if the triangle is 17 , find the value of x , find the length of each side

Answers

Answer:

Wheres the picture that gose with it ?

Step-by-step explanation:

Answer:

x= 17

Step-by-step explanation:

Go to

What is the value of ?

Answers

Answer:

65

Step-by-step explanation:

Find EF. Please help!

Answers

Answer:

EF = 7 + 39 = 46

Step-by-step explanation:

EF = FG

x + 39 = 7x - 3

39 + 3 = 7x - x

42 = 6x

x = 42/6

x = 7

hope this helps :)

Write an
equation for the linear function f satisfying the given conditions.
1) f(-1) = -5 and f(5) = 7

Answers

Answer:  f(x) = 2x - 3

===================================================

We're given f(-1) = -5 and f(5) = 7

This means we know the two points (-1,-5) and (5,7) are on the line.

Find the slope

m = (y2-y1)/(x2-x1)

m = (7-(-5))/(5-(-1))

m = (7+5)/(5+1)

m = 12/6

m = 2

The slope is 2.

Use this along with (x1,y1) to find the equation. We'll use point slope form

y - y1 = m(x - x1)

y - (-5) = 2(x - (-1))

y + 5 = 2(x + 1)

y = 2x + 2 - 5

y = 2x - 3

f(x) = 2x - 3

Which function is a linear function ?

Answers

Answer:

the answer is E. hope this helps

Step-by-step explanation:

in a lab a substance was heated by 16ºC over a period of 4 hours at a constant rate

Answers

According to my examination I have confirmed that I do NOT repeat do NOT know this. Good luck!

Can someone help. I need it ASAP

Answers

Answer/Step-by-step explanation:

10 is between the perfect squares of 9(3) and 16(4).

This means the square root of 10 is between 3 and 4.

The square root of 10 is about 3.162

So, it is less than 5.

Lan is instructed to draw a rectangle with an area of 450 square centimeters.
Write an equation to model this proportional relationship, where x represents the length of the rectangle and y represents the width of the
rectangle.

Answers

Answer:

xy = 450

Step-by-step explanation:

The relationship will be xy=450.

What is the Area?

The area defines the extent of the region in which we are working.

How to solve it?

As we know,

The area of a rectangle is given by xy=A

Where x, and y are the sides and A is the area.

So, the relation will be xy=450.

Learn more about the Area:

https://brainly.com/question/13389992

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If the profit of Tk.x in 4 years at the rate of x% is Tk.x, then what is the value of x?

Answers

Answer:

x = 25

Step-by-step explanation:

Given:

Amount invest p = Tk.x

Number of year t = 4

Rate r = x%

Profit = Tk.x

Find:

Value of x

Computation:

Profit = prt / 100

Tk.x = [(Tk.x)(x)(4)] / 100

x = 100 / 4

x = 25

The wait times for two different rides are shown in the table. If there is a minute wait time how many people are in line for the Carousel?

Carousel - 6 minutes for 48 people in line
Swings - 12 minutes for 75 people in line​

Answers

Answer:

Step-by-step explanation:

5

in3runvn

what is the equation of the line that is perpendicular to the given line and has an x-intercept of 6?​

Answers

Answer:

y = 4/3x - 6

Step-by-step explanation:

The slope of the 1st line is -3/4

So for the perpendicular line it has to be the exact opposite.

That looks like this ---> 4/3x

And the y-intercept is -6 because if you make a straight line where the x intercept is it matches.

The equation would look like this

y = 4/3x - 6

Hope this helps! Have a blessed day!

Which expression is a perfect cube?

Answers

Id say it’s the second one hope that helps

2) Graph the system of inequalities

y > -2x + 1
y≤ x + 3

Answers

Translate this to english

Por favor ayúdame, no puedo tener constante y> -2x + 1

y≤ x + 3 caca es 6 pies arriba en la jaula de mi perro

There are 52 weeks in a year. The plant runs for 12 months. How many weeks let when 52 weeks are divided by 12 months?​

Answers

Step-by-step explanation:

in one month , it runs for 52/12 weeks

that is 4 weeks

6
Samir goes to a farmers market to buy some fruit.
He fills a large bag with 29kg of apples.
He realises that he cannot carry this weight, so puts some of the apples into a smaller bag.
The weight of the apples in the large bag is 15kg larger than the smaller bag.
(a) What is the weight of the smaller bag?​

Answers

Answer:

Weight of Smaller Bag = 7kg

Weight of Larger Bag = 22kg

Step-by-step explanation:

x = weight of smaller bag

x + (x + 15) = 29

2x + 15 =29

2x = 14

x = 7

In the figure, m<2 = 44. What is the measure of <1?

Answers

Answer:

m∠1 = 112°

Step-by-step explanation:

To solve for m∠1, we need to find the supplementary angle and subtract from 180°.  We also know that m∠2 = 44° and the remaining two angles inside the triangle are the same because of the congruent sides, let's call each angle x.

Therefore m∠2 + x + x = 180; combine x's

m∠2 + 2x = 180; substitute m∠2 = 44°

44 + 2x = 180; subtract 44 from both sides

2x = 136; divide by 2

x = 68°

Therefore using the supplementary angle

x + m∠1 = 180 (because it is supplementary)

68 + m∠1 = 180; subtract 68 from both sides

m∠1 = 112°

is this congruent or not​

Answers

Since the sides are not equal in length. The triangle are not congruent

C:

D:

E:

F:

G:

H:



3 a) If the first coordinate in an ordered pair is 0, where does the point lie?


3 b) If the second coordinate in an ordered pair is 0, where does the point lie?












8. How far does Cal live from Mel?


9. How far does Mia live from Amy?


10. How far apart do Amy and Cal live?



14. Whose house is a reflection of Amy’s house across the y-axis? Explain.

Answers

Answer:

its in progress so tell ur teacher.

Step-by-step explanation:

Can someone help me solve this equation? x2 + x - 30 = 0

Answers

X=28 this is the answer, it should be correct

Answer:

x = 10

Step-by-step explanation:

x x 2 + x - 30 = 0          use the commutative property to reorder the terms

2x + x - 30 = 0             collect like terms

3x - 30 = 0                move constant to the right hand side and change its sign

3x = 30                      divide both sides of the equation by 3

x = 10

multiplying | dividing

Answers

Answer:

7 pieces

Step-by-step explanation:

21 yards have 63/3 of rope

2 2/3 yards are 8/3 yards

63/3 devided by 8/3 is almost 7 and 7/3

suppose that britta decided to take out a private loan for $6,000 for which loan payments start as soon as the loan amount is deposited in her account and continue for 10 years.

Answers

so whats the question to me its feels like your tell us

The members of a crew team can weigh no more than 165 pounds each. Write an inequality for the acceptable weights. Graph the solutions.

Answers

Answer: it would be 100 plus 65 = 165 hope this helped

Step-by-step explanation:

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