Factor the greatest common factor.
-30k^6 + 9k^5 - 21k^4

Answers

Answer 1

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,  

a

2

b

2

=

(

a

+

b

)

(

a

b

)

where  

a

=

k

2

and  

b

=

1

.

9

(

36

k

6

+

k

5

k

2

)

Answer 2
The GCF is -3k^4
-30k^6+9k^5-21k^4= -3k^4(10k^2-3k+7)

Related Questions

||x-5|+2|<=3
please help

Answers

Answer:

x e [-10,-4]

Step-by-step explanation:

||x-5|+2|≤3

|x+5+2|≤3

|x+7|≤3

x+7≤3

x≤-4

x+7≥-3

x≥-10

x e [-10,-4]

Which of the following is a counter example for the given conjecture?

Conjecture: All student have school pride.

A. Jose goes to school every day.
B. Jessica studies and is attentive in class.
C. Joanna always wears her school colors and attend all school events she possibly can.
D. John does not wear his school colors and does not attend any school event

Please answer this

Answers

Answer:

Hey mate, here is your answer. Hope it helps you.

Step-by-step explanation:

D- John does not wear his school colors and does not attend any school event.

Description in mathematics, a conjecture is a conclusion or a proposition which is suspected to be true due to preliminary supporting evidence, but for which no proof or disproof has yet been found.

The counter-example for the given conjecture is "John does not wear his school colours and does not attend any school event". Therefore, option D is the correct answer.

The given conjecture is "All students have school pride."

We need to identify a counter-example for the given conjecture.

What is a conjecture?

In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof. Some conjectures, such as the Riemann hypothesis or Fermat's Last Theorem, have shaped much of mathematical history as new areas of mathematics are developed in order to prove them.

Now, "All students have school pride" is not true, because not all students have school pride.

The counter-example for this conjecture is "John does not wear his school colours and does not attend any school event"

Therefore, option D is the correct answer.

To learn more about the conjecture visit:

https://brainly.com/question/24881803.

#SPJ5

if I weighed 12 stones and lost 5lb , how much would I weigh?​

Answers

Answer: 163 pounds

Step-by-step explanation: 12 stones is 168 pounds

Answer:163 lbs

Step-by-step explanation:

12 stone in lbs is 168 so 168-5= 163 lbs

A bluebird house should have a 5 inch by 5 inch floor, a height ranging from
8 inches to 12 inches, and an opening of 1.5 inches. Bluebirds like open areas,
such as fields, large lawns, cemeteries, parks, and golf courses. Hanging a
bluebird house on a post or pole about 4 or 5 feet above the ground will
probably attract the birds and offer them protection from predators.
In Exercises 1–5, use the following information.
Your woodshop class is making bluebird houses for a final project. A model of
the birdhouse is shown below. The roof consists of four congruent triangles, the
sides are made of four congruent isosceles trapezoids, and the base includes four
rectangles and a square bottom.
1. Find the area of material needed to
make the roof.
2. Find the area of the entrance hole.
3. Find the area of material needed to
make the sides of the birdhouse,
excluding the entrance hole.
4. Find the area of the material needed
to construct the base of the birdhouse.
5. What is the total amount of material
needed for the entire birdhouse?

Answers

Answer:

1. 140 in²

2. 2.25 in²

3. 182 in²

4. 55 in²

5. 374.75 in²

Step-by-step explanation:

1. Area of each triangle: 10*7*1/2 = 35 in²

Area of the roof = 4*35 = 140 in²

2. Area of the entrance hole: 1.5*1.5 = 2.25 in²

3. Area of each trapezoid: (8+5)/2*7 = 45.5 in²

Area of the sides: 4*45.5 = 182 in²

4. Area of the square of the base: 5*5 = 25 in²

Area of each rectangle: 1.5*5 = 7.5 in²

Area of the four rectangles = 4*7.5 =  30 in²

Area of the base: 25 + 30 = 55 in²

5. The  total amount of material  needed for the entire birdhouse is: 140 - 2.25 + 182 + 55 = 374.75 in²

PLEASE HELP ASAP!!! How many 1/2-cup servings are there in 3/4 of a cup of cereal?

Answers

Answer:

there is only 1 but you have some left over so maybe 2

Answer:

Hey!

Your answer is about 3/2 servings!!

Step-by-step explanation:

HOPE THIS HELPS!!

First person to answer gets Brainliest.

Find the missing dimension of the cylinder. Round your answer to the nearest whole number.

Volume = 250 ft³

Answers

Answer: 4.97 ft

Step-by-step explanation:

h = V / pi r^2

h = 250 / 3.14 x 4^2

A local car dealer has 150 cars on the lot. 30% of the cars are sedans. How many of the cars are NOT sedans?

Answers

Answer:

105 cars

Step-by-step explanation:

150cars=100%

and if 30% of the cars are sedans then the cars which are not sedans is

100%-30% =70%

if 150 cars=100%

? cars=70%

if less more devides

70%/100%×150cars

all zeros cancel which would be left with

7× 15

105 cars.

Answer:

The answer is 105

So that 30% of those cars are 45 Sedans of the 150 cars.

Now we need to find out how many cars are in that remaining 70%

In order to do this we need to subtract 45 from 150

So 150 minus 45 is 105

Finally, we know that that remaining 70% is 105 cars that aren't Sedans.

So 105 cars are not Sedans.

8x−3=−19+6x
8
x

3
=

19
+
6
x

x=−8

x=8

x=11

x=−11

Answers

Answer:

Solve each equation for x. 1) x – 15 = 24 => x = 39 2) 18 = −6 + x => x = 24 3) 19 — X = 8 => x = 11 4) x – 22 = 24 => x = 46 5) 24 — X = 17 => x = 7 6) 16 — X = 3 ...

Step-by-step explanation:

A truck can be rented from Company A for $120 a day plus $0.70 per mile. Company B charges $80 a day plus $0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

200 miles

Explaination:

in order to fiind the point of interaction you must put the world problem into an liner equation.

y=mx+b

key:

miles : x

y= 0.70x + 120

&

y= 0.90x + 80

now you put them together

0.70x + 120 = 0.90x + 80

-0.70x. -0.70x

____________________ subtract slope from both sides

120 = 0.20x + 80. ( doesn't matter which one)

-80 - 80

____________________ subtract

40 = 0.20x

_________ Divide each # with the slope

0.20 0.20

200 = x

hope this helps!

PLEASE HELP!

The dot plots show two different random samples of the number of lunches purchased in a month by some students. Which statement is BEST supported by the data?

Answers

Answer: i think its b

Step-by-step explanation:

Answer is B

Step-by-step explanation:

Solve |4x +2|= 6
a.1 or -2
b.-1 or 2
c.1
s.2

Answers

Answer:

A

Step-by-step explanation:

When taking out the absolute value, it's 4x+2=6 and 4x+2=-6. At this point just solve for x and your answer(s) should be 1/-2

Answer:

x =1   x=-2

Step-by-step explanation:

|4x +2|= 6

There are two solutions a positive and a negative

4x+2 = 6      and 4x+2 = -6

Subtract 2 from each side

4x+2-2 = 6-2      4x+2-2 = -6-2

4x = 4                     4x = -8

Divide by 4

4x/4 = 4/4            4x/4   =-8/4

x =1                            x = -2

If xy>0, then the points of P(x,y) lies...

Answers

Answer:

In Quadrant I or III

Step-by-step explanation:

We know if the sign was not showing closed inequality facing other way

xy < 0 would be in the 2nd or 4th quadrant.

If xy = 0  then either xy or both are on the x or y axis

But if xy>0 then they are in quadrant I or III

If xy>0, then the points of P(x,y) lies in Quadrant I and III

Quadrants on the Cartesian plane

According to the given condition;

xy > 0

This means that the product of x and y is a positive number.

Hence, either both x and y-coordinates are positive or are both negative

Hence, only points in the Quadrant I have positive x and y coordinates Or Quadrant III in which case all x and y values are negative.

Read more on Cartesian plane;

https://brainly.com/question/14325342

What is the value of x?
A-14
B-15
C-16
D-17

Answers

Answer:

A

Step-by-step explanation:

The answer is a because first you need to add up 110+110+70

You would get 290

Then subtract 360-290

You would get 70

Divide 70/5

You get 14, the answer.

Answer: A

Step-by-step explanation:

What is the range of the function y=sqrtx+5 ?

Answers

[0, ♾) is the range of the function

Answer:

(0, ♾️ ) is the range of function y=sqrtx+5.

What is the simplified form of the expression? 6/√5−√2

Answers

Answer:

The expression can be simplified into [tex]2\,\sqrt{5} +2\sqrt{2}[/tex]

with no square roots in the denominator

Step-by-step explanation:

We are considering the expression  [tex]\frac{6}{\sqrt{5}-\sqrt{2} }[/tex]  which I believe is what you wanted to type in your question.

The idea behind simplification of the expression, is normally associated with the rationalization of the denominator by eliminating irrational numbers from it. This means to get rid of any "irrational" number expression (like in this example, the square root of non-perfect square numbers ([tex]\sqrt{5}\,\,\,and \,\,\sqrt{2}[/tex]).

We proceed by writing this quotient in an equivalent form by multiplying its numerator and its denominator by what is called the "conjugate" of the denominator. In our case, multiply by " [tex](\sqrt{5} +\sqrt{2})[/tex] ", because such product will allow the denominator to become a rational number:

[tex]\frac{6}{\sqrt{5}-\sqrt{2} }\,*\,\frac{(\sqrt{5}+\sqrt{2} )}{(\sqrt{5}+\sqrt{2}) } =\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{\sqrt{5}^2-\sqrt{2}^2 }=\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{3}=2\,\sqrt{5} +2\sqrt{2}[/tex]

where we find all square roots eliminated from the denominator

Find the rate of change for each linear function

decrease of 22 m/min
Decrease of 22 min/m
Increase of 22 m/min
Decrease of 20 m/mm

Answers

Answer:

Answer = decrease of 22 m/min

How do you simplify ( 5 x 10-4 ) ( 2.4 x 10-6 ) into a scientific notation?

Answers

Answer:

I do not know this is harddd

find the area of the shape attached

Answers

Answer:

Radius x radius x 3.14 / 2 = area of semicircle

5 x 5 x 3.14 = 78.5

don't divide because there is two semicircle

22-10=12

12 x 10 = 120

120 + 78.5 = 198.5 cm squared

Step-by-step explanation:

The domain of the function f(x) = 3x3 is {2, 5}. What is the function’s range?

The range of the function f(x) = 3x3 when its domain is {2, 5} is

Answers

Answer:

[tex]Range = [24, 375][/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3x^3[/tex]

[tex]Domain = [2,5][/tex]

Required

Find the Range

The range is calculated by solving for f(2) and f(5). In other words, the range is calculated when x is 2 and x is 5

When x = 2;

f(2) is as follows;

[tex]f(2) = 3*2^3[/tex]

[tex]f(2) = 3 * 8[/tex]

[tex]f(2) = 24[/tex]

When x = 5;

f(5) is as follows;

[tex]f(5) = 3*5^3[/tex]

[tex]f(5) = 3 * 125[/tex]

[tex]f(5) = 375[/tex]

Hence, the range of the function is [24, 375]

does anyone know the answer to this ?

Answers

Answer:

the horse walked 20 feet away i think

Step-by-step explanation:

i say this because it shows an arrow from a horse to the 20 square feet

Answer:

Step-by-step explanation:

it is a three quarter circle with radius=7.1 ft

reqd. area=3/4 πr²

=3/4×π×7.1²

≈3/4×3.14×7.1²

≈118.72 ft²

In the number
23.45, the digit
4 is in the Select...
place.

Answers

Answer:

tenths place

Step-by-step explanation:

tens  ones . tenths hundredths

2          3    .    4            5

The four is in the tenths place

Let's use the place value chart.

You can see that the digit 4 is in the tenths place.

So the value of the digit is 4 tenths.

Cuantas veces cabe 1/8 en 1/4

Answers

Answer:

Two eighths

Step-by-step explanation:

Two eighths is one quarter and four eighths is a half. It's easy to split an object, like a cake, into eighths if you make them into quarters and then divide each quarter in half.

Please help me please

Answers

Answer:

C : 414.7

Step-by-step explanation:

I do not completely know if this is right or not, but I used reasoning to figure this out. I can easily find the area of a circle just based on the radius of it, and the radius of the circle (all parts included) is 452.39. And since the percentage of the shaded circle would have to be a lot larger to have the unshaded area only be 188, then I can reason that 414.7 would be the most reasonable answer.

Poor preparation is a deadly mistake, demonstrating to the employer a lack of interest. Using your checklist (above), develop your answers to these common interview questions, following the adivce (below) for each question.

Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?​

Answers

Answer:

Well ,lets see∉ if you add theose numbers togetherФ it maybe it he answe ris 4=67 *64  ---4 67x54 5xe4t4 6x

Can you people help me please

Answers

Answer:

A: 5/23

Step-by-step explanation:

First, lets take the total amount of coins in the jar: 8 nickels, 10 dimes, 6 quarters, and 22 pennies- for a total of 46 coins.

The question is asking what the odds of pulling a dime are.

Since there is 46 coins in the jar, you can just do a fraction and set it up like this:

10

46

From there just simplify the fraction, 10 / 2 = 5, 46 / 2 = 23. The problem can't be simplified further, so the answer you originally had was correct. 5/23

Hope this helps, give brainliest pls blah blah blah

(QUICK RESPONSE!!!) Which graph shows the solution set for 2 x + 3 greater-than negative 9?

Answers

Answer:

It's the last answer choice

Step-by-step explanation:

2x+3> -9

2x+3-3> -9-3

2x> -12

2x/2> -12/2

x> -6

Answer:

d

Step-by-step explanation:

type at least 2 ways they are the same and type 2 ways they are different.

Answers

Answer: they are both halves and represent the fraction 1/2. They different because there represented by lines and boxes.

Step-by-step explanation:

Which is the most efficient way to solve this equation?

+4=17


Subtract 4
from both sides because that will result in an equivalent equation with
alone on one side.


Subtract 17
from both sides of the equation so all terms will be on the same side of the equal sign.

Nothing, because the equation is already solved.


Add 4
to 17
because
equals 21

Answers

Answer:

Which is the most efficient way to solve this equation?

+4=17

Subtract 4

from both sides because that will result in an equivalent equation with

alone on one side.

Subtract 17

from both sides of the equation so all terms will be on the same side of the equal sign.

Nothing, because the equation is already solved.

Add 4

to 17

because

equals 21.

Step-by-step explanation:

MARK ME AS THE BRAINIEST

does anyone know the answer to this ?

Answers

Step-by-step explanation:

The circumference of the clock will be 8.6π because its hand is the radius. In 15 minutes the hand moves a quarter of the circumference which is 2.15π or 6.571.

Help. I’m new to learning functions like this

Answers

Answer:

Please I can't see it it clearly

Please make it a little more clear on what the question is asking
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