Identify the greatest common factor of 25w⁵+5w⁴+15w³​

Answers

Answer 1

Answer:

5w³

Step-by-step explanation:

To solve this, we can list the factors of each number and see which are common

25w⁵: separate this into 25 and w⁵ as one is a variable and one is not, so this will enable easier factorization. It is perfectly fine to separate these as these are multiplied by each other. For example, 5 is a factor of 25 but not of w⁵, but we can still factor 5 from 25w⁵ to get 5 (5w⁵)

factors of 25:

1, 5, 25

factors of w⁵:

1, w, w², w³, w⁴, w⁵

We know the factors of w⁵ because anything multiplied by 1 is equal to itself, w * w⁴ = w⁵, and w²*w³ = w⁵ due to exponent rules

Next,

factors of 5:

1, 5

factors of w⁴:

1, w, w², w³, w⁴

Finally,

factors of 15:

1, 3, 5, 15

factors of w³:

1, w, w², w³

For the constants, the greatest common factor is 5, and for the variables, the greatest common factor is w³

Because each value has both a constant and variable, we can use these two numbers to factor this out as

5w³(5w²+w + 3)


Related Questions

SOLVE FOR Y
2x-y=3
pls help

Answers

Answer:

x = 3+y/2

Step-by-step explanation:

Algebra hcf
2x + y and 18x +9y ​

Answers

Step-by-step explanation:

2x+y and 18x+9y

=2x+18x=9y2

=2x"=9y"

HELP! WILL GIVE BRAINLIEST!!! I think it's D please check


Factor completely x3 + 5x2 − 3x − 15.


(x − 5)(x2 − 3)

(x + 5)(x2 + 3)

(x − 5)(x2 + 3)

(x + 5)(x2 − 3)

Answers

Answer:

(x + 5) (x^2 -3)

Step-by-step explanation:

[tex]x^{3} +5x^{2} - 3x - 15[/tex]

Do the grouping:

[tex]x^{3} +5x^{2} - 3x - 15 = (x^{3} +5x^{2}) + (-3x - 15)[/tex]

Then factor out [tex]x^{2}[/tex] in the first and −3 in the second group.

[tex]x^{2}(x+5) - 3(x+5)[/tex]

Factor out the common term x + 5 by using the distributive property.

Polynomial [tex]x^{2}-3[/tex] is not factored in since it does not have any rational roots, thus getting the following:

[tex](x+5)(x^{2} -3)[/tex]

Answer:

the fourth option (x+5)(x²-3)

Step-by-step explanation:

the "-15" tells us we need a 3 and a 5 with different signs.

that eliminates the first and the second options.

and the "5x²" tells us it has to be +5, as there is only one part in the whole multiplication that delivers a x² term (5×x²).

it is also confirmed for the same reasons by "-3x" that the other number has to be -3.

helpppppppppppppppppppppppppppp

Answers

Answer:

c. {1/15,16,1/17,18}

Step-by-step explanation:

please follow me

Answer:

[tex]{ \sf{set \:A \: and \: B }}[/tex]

Explain how to evaluate f (2) to a student that is
absent today.

Answers

Say that f(x)=y and we are taking x=2

Evaluate. Express your answer in scientific notation.
5.09 x 104 – 4.95 x 104

Answers

Answer:

-163.64..................

Chose the correct property


[tex]a(9 \times b) = (a \times 9)b[/tex]


A) Commutative Property Of Multiplication

B) Associative Property Of Multiplication

C) Neither​

Answers

Answer:

Associative property of multiplication

Y=3x-5 please help ASAP

Answers

Therefore, a linear equation in two variables has infinitely many solutions. Thus, y = 3x + 5 has infinitely many solutions. Hence (iii) is the correct answer.


Will give brainliest

Answers

Answer:

about 15.08

Step-by-step explanation:

Angle BAC + Angle CAH = 180 (they are supplenmentary angles), which means (12x+4)+(x-20)=180

solve:

13x-16=180

13x=196

x≈15.08

Answer:

12x+4 + x-20 = 180

13x = 196

x = 15.08

Step-by-step explanation:

Seventeen more than twice a number is -13. What is the number?​

Answers

Answer:

-15

Step-by-step explanation:

17+2a=-13

2a=-30

a=-15

Gordon makes 4/5 of a recipe with 2/3 bag of cheese. At this rate, what fraction of the bag of cheese will Gordon use to make the entire recipe?

Answers

Answer:

Gordon will use 5/6 of the bag of cheese to make the entire recipe.

Step-by-step explanation:

We are given that Gordon makes 4/5 of a recipe with 2/3 bag of cheese.

And we want to determine what fraction of the bag of cheese Gordon will use to make the entire recipe.

We can write the following ratio:

[tex]\displaystyle \frac{\dfrac{2}{3}\text{ bag of cheese}}{\dfrac{4}{5}\text{ recipe}}[/tex]

Find the unit rate. Multiply both layers by 5/4:

[tex]\displaystyle \frac{\dfrac{2}{3}\text{ bag of cheese}}{\dfrac{4}{5}\text{ recipe}}\times \frac{\dfrac{5}{4}}{\dfrac{5}{4}}[/tex]

Multiply:

[tex]\displaystyle \frac{\dfrac{5}{6}\text{ bag of cheese}}{1 \text{ recipe}}[/tex]

In conclusion, Gordon will use 5/6 of the bag of cheese to make the entire recipe.

5. * Your parents drove the family car 462 miles on 14 gallons of gas. On average, how many miles did the car travel on each gallon of gas (Write the expression and solve)?

Answers

Answer:

33 miles did the car travel on each gallon of gas

Ok I still don’t get this pls help!

Answers

Answer:

p and q value is 70 deg and r,s,t and u is 110 deg

Step-by-step explanation:

I. If half circle = 180°

 when p = q = 70°

 so r = s = t = u = 180 - 70 = 110°

Step-by-step explanation:

[tex]thank \: you[/tex]

Segment addition postulate help

Answers

ANSWER:
1. x=5
3. x=-12
5. x=4

I NEED HELP WITH THIS IXL PROBLEM.

Answers

Step-by-step explanation:

S'(7,-4)

T'(7,-3)

U'(2,-7)

V'(2,-9)

IF(x)=3x+7, Find the image of 5

Answers

Answer:

f(5) = 22

Step-by-step explanation:

Substitute x = 5 into f(x) for image , that is

f(5) = 3(5) + 7 = 15 + 7 = 22

The answer is 22.
You substitute 5 where there is an x.
(3 X 5) + 7
15 + 7 = 22
f(5) = 22

Simplify 9/12 into simplest form

Answers

Both 9 and 12 can be divided by 3.
Divide both 9 and 12 by 3.
9/3=3 12/3=4
9/12=3/4
3/4 is the simplest form of 9/12
We divide both numbers by three bcz both are multiples of three
And by dividing them by three we get:
9……….3
— ➗ —. = 3/4
12……..3


HOPE IT HELPS!!!

if (2,3) bisects the line segment joining the points (a,6) and (8,b),then what are the values of a and b​

Answers

Answer:

a

Step-by-step explanation:

Jeffery took a drive to town at an average rate of 50mph. When he returns, he drove back at the rate of 30 mph. If he spent a total of 8 hours traveling, what is the distance traveled by Jeffery? Please answer.

Answers

Answer:

150 + 150 = 300

Step-by-step explanation:

50x = 30y  

x + y = 8

~~~~~~~~~~~~~~~

x = 8 - y

50(8-y) = 30y

400 - 50y = 30y

400 = 80y

y = 5

x= 3

A school store buys pencils in bulk and sells them to students for a small profit. The school pays $2.00 for 100 pencils and sells them for 10 cents each. How many pencils would they have to sell to make a $100 profit?

Answers

Answer:

1,000 pencils  

Step-by-step explanation:  

First, there are 10,000 cents in $100.  

So divide 10,000 by 10.  

1,000.

I hope this helps!  

pls ❤ and mark brainliest pls

what is the distance between points (6,-5) and (2,-2)

Answers

Answer:

5.

Step-by-step explanation:

Distance = √(2-6)^2 + (-2-(-5)^2)

= √(16 + 9)

= √25

= 5.

Hello ;)

We can calculate the distance between two points by knowing their coordinates.

Here is the formula :

Let two points [tex]A(x_{A};y_{A})[/tex] and [tex]B(x_{B};y_{B})\\[/tex]

The distance between those two points is given by using this formula :

[tex]AB^{2} =(x_{B}-x_{A})^{2} +(y_{B}-y_{A})^{2}[/tex]

Now, we can use this formula in your exercice.

(2 - 6)² + (-2 - (-5))²

= (-4)² + 3²

= 16 + 9

= 25

Do not forget to do the square root of 25 ;)

So we obtain : [tex]\sqrt{25}=5[/tex]

The distance between points (6 ; -5) and (2 ; -2) is 5 units of lengh.

:-)

why reason distance cannot be negative?

Answers

Answer:

Distance cannot be negative because no matter which direction you travel, you will never travel negative units.

Step-by-step explanation:

Distance cannot be negative in the same way that when you put a car in reverse, the odometer does not go backwards.

If you have a mailbox 30 feet east of your house and a park 30 feet west of your house, you can think of it like a number line: your house is 0, the park is -30 and the mailbox is 30. But, if you walk to your park, you have not walked -30 feet.

Seven teenagers were asked what they charge hourly for babysitting,

The results are shown below. What is the median of these prices?

$8.00, $8.50, $9.00, $9.25, $9.50, $10.75, $11.00

Answers

Median- is the middle value whereby the values are place in order (ascending)

$9.25 is the median of these prices

First to answer correctly gets brainliest
Clicking on the images makes it full

Answers

Answer:

a)

There are 6 planes - 5 faces of the pyramid and one base, which overlaps with the plane X.

b)

Collinear points are the points on the same line:

J, K, D are collinear

c)

The intersection of planes X and HGD is the line section HG.

a:-

This is a pentagonal pyramid

It has 5 planes on sides and one is on base.Total 6planes.

B:-

J-F-L and J-K-D

C:-

HG is the intersection line

A library wishes to build an access ramp for wheelchairs. The main entrance of the library is 8 ft. above sidewalk level. If the architect recommends a grade (angle of elevation) of 6°, how long must the access ramp be?​

Answers

Answer:

About 76.5 ft.

Step-by-step explanation:

Draw a diagram of a right triangle.  The shorter leg represents the height of the main entrance of the library, which is 8 ft.  The longer leg won't matter in this case.  The hypotenuse is what we're trying to find, so mark it as x.  We know there's a 6° angle of elevation, so the 30° angle of the triangle will be 6° in this case.  Now we have to use trig.  Think of Soh Cah Toa.  The 6° is opposite from 8 and the hypotenuse is x.  So, the equation to find x would be:

sin (6°) = 8/x

Multiply both sides by x

sin (6°) * x = 8

Divide both sides by sin (6°)

x = 8/sin (6°)

When putting it into a calculator, your answer should be 76.534, which rounds to 76.5 ft.

8. Nathan has 3 jars, each containing either 5 or 10 marbles.
Which of the following could NOT be the total number of
marbles in all the jars? 30, 20, 35, 25

Answers

35 can’t be the total of marbles

Answer:

35

Step-by-step explanation:

Because,

when we take the maximum values of marbles in a jar ,

that is each jar contains 10 marbles

then the total number of marbles in 3 jars is 30

so , the value 35 is not possible.

Thank you

6+7(x+5)<-25-2x
need help

Answers

Simplify:

6+7=13

13•x+5

13x+65<-25-2x
+2x +2x

15x+65<-25
-65. -65

15x<-90
/15. /15

X=-6

-90<-90

False

John's family drinks
7/9 of milk a day.
How many liters do they drink in 4 days?

Answers

Answer:

28/9 or 3 1/9

Step-by-step explanation:

7/9 + 7/9 + 7/9 + 7/9 = litera they drink in 4 days or 7/9 x 4

7/9 • 4 = 28/9 or 3 1/9

[tex]\frac{28}{9}[/tex]   liters do they drink in 4 days.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

John's family drinks 7/9 of milk a day.

Liters do they drink in 4 days: X

Using unitary method

X = [tex]\frac{7}{9} \times4[/tex]

X = [tex]\frac{28}{9}[/tex]

[tex]\frac{28}{9}[/tex]   liters do they drink in 4 days.

Find out more information about unitary method here

https://brainly.com/question/22056199

#SPJ2

another easy question pls answer​

Answers

Answer:

22.5 degrees and 67.5 degrees

Step-by-step explanation:

complementary angles add up to 90°

x + 3x = 90°

4x = 90

90/4 = x

x = 22.5

The first angle is 22.5

The second angle is 3 times as much

22.5 x 3 = 67.5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

which quadrant will the line y= -1/4 x-15 never pass

Answers

Step-by-step explanation:

For x-intercept:

put y=0

0=-1/4 x -15

1/4x=-15

x=-15×4

x=-60

points(-69,0)

For y-intercept:

put x=0

y=-1/4(0)-15

y=-15

points(0,-15)

This line will never pass through first quadrant.

Note:if you need to ask any question please let me know.

The line will never pass through first quadrant.

What is intercept?

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given line:

y= -1/4 x-15

Now, the x-intercept:

0=-1/4 x -15

1/4x=-15

x=-15×4

x=-60

and the y-intercept will be

y=-1/4(0)-15

y=-15

Hence, the line will never pass through first quadrant.

Learn more about intercept here:

https://brainly.com/question/14180189

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