remove the largest common factor. check your answer by multiplication.
21x^5+14x^3-35
Factor out the greatest common factor.

Answers

Answer 1
We can see : 21,14,35 have the common factor of 7
Therefore :
7(3x^5+2x^3-5) is the correct answer
We can’t factor x because 35 does not have any x
Answer 2
21x⁵+14x³-35

Most common is 7

So

7(3x⁵+2x³-5)

Use distributive law to verify

21x⁵+14x³-35

Verified

GCF is 7


Related Questions

Find the volume of the following. Show your work

Answers

Answer:

length * width * height = volume

10 * 2 * 5.5 = 110 cubed inches

For each ordered pair determine whether it is a solution to Y= -8

Ordered pairs:
(-8,2)
(1,9)
(4,-8)
(0,-3)

Answers

Answer:

(4,-8) is the only correct solution because it is the only one to have a Y value of -8

If you can help me with this please and thank you

Answers

Answer:

Nnnnnnnnnnnn

Step-by-step explanation:

L bozo

A car traveled 1010 miles at an average speed of 3030 miles per hour
and then traveled the next 1010 miles at an average speed of 5050 miles
per hour. What was the average speed, in miles per hour, of the car for the
2020 miles?

Answers

The average speed, in miles per hour, of the car for the 20 miles is 37.5 mph

Average speed

Average speed v = d/t where

d = total distance and t = total time

Making t subject of the formula, we have

t = d/v

Time to cover first 10 miles

Now when the car travels 10 miles at an average speed of 30 miles per hour,

d = 10 mi and v = 30 mph.

So, t = d/v

= 10/30

= 1/3 h

Time to cover next 10 miles

Also, when the car travels the next 10 miles at an average speed of 50 miles per hour,

d' = 10 mi and v' = 50 mph.

So, t' = d'/v'

= 10/50

= 1/5 h

Time to cover 20 miles

The total time for the 20 miles is T = t + t'

= 1/3 h + 1/5 h

= (5 + 3)/15 h

= 8/15 h

Average speed for 20 miles

So, the average speed for the 20 miles is v = D/T where

D = 20 miles and T = 8/15 h.

So, v = D/T

v = 20 mi ÷ 8/15 h

v = 20 × 15 mi/8 h

v = 2.5 × 15 mi/h

v = 37.5 mph

So, the average speed, in miles per hour, of the car for the 20 miles is 37.5 mph

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PLS HELP im actually cryin i stress over math a lot....

Answers

Answer:

4 mg

Step-by-step explanation:

Plug in everything that they have given for the equation

since x is the number of half-lives, and iodine-131 has a half-life of 8, and the question is asking for how much there will be left after 32 days, 8 * 4 = 32, so x will be 4.

y = 64(0.5)^4

and solve

y = 4

so there will be 4 mg of iodine-131 left after 32 days.

Answer:

4 mg

Step-by-step explanation:

half- life is 8 days then 32 ÷ 8 = 4 half- lives , then

y = 64 [tex](0.5)^{4}[/tex] = 64 × 0.0625 = 4 mg left

Provide the missing reasons for the proof.

Given: AB || RS

Prove: QA/QR = QB/QS

Answers

Answer:

1) given

2) reflexive property

3) corresponding angles theorem

4) AA similarity

5) Corresponding sides of similar triangles are proportional.

What is the slope of the line through the points (-2, -1) and (4, 3)?


2/5

5/2

3/2

2/3

Answers

Answer:

2/3

Step-by-step explanation:

We can use the slope formula to find the slope

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

   = ( 3- -1)/ ( 4 - -2)

   = ( 3+1)/ ( 4+2)

   = 4/6

   = 2/3

[tex]\huge\text{Hey there!}[/tex]


[tex]\large\textsf{The formula for slope of a line is: }\large\boxed{\mathsf{m = \dfrac{y_2 - y_1}{x_2 - x_1} \ or\ easier \ way\ m = \dfrac{rise}{run}}}[/tex]


[tex]\large\textsf{NOW LETS ANSWER THE GIVEN EQUATION}[/tex]

[tex]\large\text{THE GIVEN EQUATION: \boxed{\rm{m = \dfrac{3 - (-1)}{4 - (-2)}}}}\\\large\boxed{m \rm{= \dfrac{3 + 1}{4 + 2}}}\\\\\\\large\boxed{m \rm{= \dfrac{4}{6}}}\\\\\\\large\boxed{m \rm{= \dfrac{4\div 2}{6\div 2}}}\\\\\\\large\boxed{m = \rm{\dfrac{2}{3}}}\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ D. \dfrac{2}{3}}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Surface Area:Question 6
What is the total surface area of the figure shown?
Select one:
96 square feet
60 square feet
0 72 square feet
36 square feet

Answers

[tex]\qquad\huge\underline{{\sf Answer}} ♨[/tex]

Total surface area :

[tex]\qquad \sf  \dashrightarrow \:2(lw + wh + lh)[/tex]

[ l = Length, w = width, h = height ]

[tex]\qquad \sf  \dashrightarrow \:2 \{(6 \times 2) + (2 \times 3) + (6 \times 3) \}[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \{12 + 6+ 18\}[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 (36)[/tex]

[tex]\qquad \sf  \dashrightarrow \:72 \: ft {}^{2} [/tex]

Use the picture I provided to help me answer the question.

Answers

B


Cuz there is 9 flutes and 4 violas and 9 is greater than 4

Xaviera went out to play soccer at 5:31 and returned home at 7:00 how long was she playing soccer

Answers

Step-by-step explanation:

she played for about 1 hour 29 minutes

Answer:

1 hour and 29 minutes or 89 minutes

What is p(x)? I need help ASAP

Answers

Answer:

Option C

Step-by-step explanation:

you just subtract the functions from each other.

hence,

15x - 7x - 20

p(x) = 8x - 20

In a sequence of numbers, a5 = 30, a6 = 34, a7 = 38, a8 = 42, and a9 = 46.

Which equation can be used to find the nth term of the sequence?

A.) a,n = 4n + 10
B.) a,n = 4n + 30
C.) a,n = 6n + 30
D.) a,n = 6n

Answers

Answer:

A.)

Step-by-step explanation:

Try each choice to see which one works.

A.)

a_n = 4n + 10

a_5 = 4(5) + 10 = 30

a_6 = 4(6) + 10 = 34

a_7 = 4(7) + 10 = 38

Answer: A.)

This is the problem it’s on my screenshot

Answers

Answer:

(x = 0,y = 0),(x = 1, y = 4),(x= 2, y =8)

Step-by-step explanation:

the rule is to multiply x by 4.

when x = 0, y =4(0) = 0

when x = 1, y =4(1) = 4

when x = 2, y =4(2) = 8

Hope this helps!

Please mark as brainliest!

PLS HELP ASAP a wheel makes 13 revolutions to cover a distance of 65 m find the radius of the wheel

Answers

Revolutions=13Distance=65m

Circumference:-

65/135m

Radius:-

2πr=5πr=2.5r=2.5/πr=0.797m

Answer:

radius = 0.8 m (nearest tenth)

Step-by-step explanation:

One revolution of the wheel means one complete turn.  Therefore, the distance of one revolution is the circumference of the wheel.

First, find the distance of one revolution (the circumference) by dividing the total distance by the given number of revolutions:

[tex]\sf circumference=\dfrac{65}{13}=5\:m[/tex]

Formula

[tex]\textsf{circumference of a circle}=\sf 2 \pi r \quad \textsf{(where r is the radius)}[/tex]

[tex]\implies \sf radius=\dfrac{circumference}{2 \pi}[/tex]

Substituting the found value of the circumference into the formula to find the radius:

[tex]\implies \sf radius=\dfrac{5}{2 \pi}=0.8\:m\:(nearest\:tenth)[/tex]

The volume of a sphere is 2,000π m3. What is the surface area of the sphere to the nearest square meter?

Answers

Answer:

Volume of a sphere = 4/3 πr³

4/3 * 3.14 * r³ = 4000

4.19 * r³ = 4000

r³ = 4000 / 4.19

r = ∛1058

r = 10.19

Now, surface area = 4πr² = 4 * 3.14 * (10.19)²

S.A. = 12.56 * 104

S.A. = 1307

In short, Your Answer would be Option D) 1307 m²

Hope this helps!

Step-by-step explanation:

A spherical balloon has a circumference of 25 cm.
a.) What is the approximate surface area of the balloon to the nearest square centimeter?
b.) What is the approximate volume of the balloon to the nearest cubic centimeter?

Answers

The approximate surface area of the balloon is 199 cm².

The approximate volume of the balloon is 262 cm³

What is the surface area and the volume of the balloon?

Radius of the balloon = circumference / 6.2832

25 / 6.2832 = 3.98cm

Surface area = 4πr²

4 x 22/7 x 3.97² = 199 cm²

Volume =  4/3πr³

4/3 x 22/7 x 3.97³ = 262.20 cm³

To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125

How tall is this building?

Answers

Answer:

The building is 86.6 m tall.

Step-by-step explanation:

Coh Cah Toa

Coh: sin(theta) = Opp/Hyp

Cah: cos(theta) = Adj/Hyp

Toa: tan(theta) = Opp/Adj

Using Toa.

tan(theta) = Opp/Adj

tan(60°) = x/50

x = 50 * tan(60°)

x = 50 * √(3)

x ≈ 86.60254038

x = 86.6 m

F(x)=x^2. What is g(x)? point given (2,1)

A. g(x)= 4x^2
B. g(x)=1/4x^2
C. g(x)=(1/4x)^2
D. g(x)=1/2x^2

Answers

f(x)=x²

At x=2

f(2)=2²=4

And

g(2)=1

So the function is

g(x)=1/4f(x)g(x)=1/4x²

Linear Sequences
Please help with this question
Put either a,b,c,d
It is on linear sequences
35 points up for grabs

Answers

Answer:

please help the question

Step-by-step explanation:

65, 46, 78, 3, 87, 12, 99, 38, 71, 38

what is the median?

Answers

The answer would be 42.
Median-42

Answer:

46

Step-by-step explanation:

Just put in least to greatest then you would scratch each number from left to right till you got to the middle number (median)

pls mark brainless

5. Cole worked for a concrete company last weekend. On Saturday, his gross income was $350
and his net income was $307.05. On Sunday, his gross income was $280 and his net income
was $246.35. What amount did Cole pay in payroll tax last weekend?

Answers

The answer is Coles pay $76.6o in payroll tax last weekend.

Determine the equation of the circle with center (-7,7)(−7,7) containing the point (-2,-5)(−2,−5)

Answers

Equation of a Circle

Circular equations are often organized in the following form:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

[tex](h,k)[/tex] is where the circle is centered[tex]r[/tex] is the radius

To find the equation of a circle given its center and a point:

Plug the center into the general equation as (h,k)Plug the given point into the general equation as (x,y)Solve for r²Plug (h,k) and r back into the original equation

Solving the Question

We're given:

Center: (-7,7)Point: (-2,-5)

Plug the center into the general equation:

[tex](x-(-7))^2+(y-7)^2=r^2\\(x+7)^2+(y-7)^2=r^2[/tex]

Plug in the given point (-2,-5) and find r²:

[tex]((-2)+7)^2+((-5)-7)^2=r^2\\(5)^2+(-12)^2=r^2\\25+144=r^2\\r^2=169[/tex]

Plug the center and radius back into the original equation:

[tex](x-h)^2+(y-k)^2=169\\(x+7)^2+(y-7)^2=169[/tex]

Answer

[tex](x+7)^2+(y-7)^2=169[/tex]

Consider the following incomplete deposit ticket: what was art’s total deposit? a. $1,701.23 b. $1,545.83 c. $1,856.63 d. $1516.35

Answers

Total deposite is the resultant amount we deposite. The total deposite that Art made is given by: Option B: $1,545.83

How to get the resultant deposited amount?

Resultant deposited amount = Deposited amount - The amount deducted.

We subtract the amount deducted from the amount deposited to get the resultant deposite amount that will go in bank.

Well, it might be that we deduced more than what we deposite, in that case net deposite will come as negative, indicating that there is deduction instead of deposite.

The missing image of the deposite ticket is attached below.

From that image, we can see that:

Deposited amounts were:  13.50, 942.06, 75.53, 670.14 all in dollars.Deducted amount was:  155.40 dollars

Thus, the net deposited amount is:

Net deposite = deposited amounts - deduced amounts

Net deposite = 13.50 + 942.06 + 75.53 + 670.14 -155.40

Net deposite = 1545.83 (in dollars).

Thus, the total deposite that Art made is given by: Option B: $1,545.83

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Answer:

B

Step-by-step explanation:

7.a taxi travels with a constant speed

Answers

Answer:

Hi, not sure of what you're asking here?

Step-by-step explanation:

Try rephrasing it??

Find the length of the arc intercepted on the unit circle by the following central angle. 0=5π
A. 5π

B. 5/2π

C. 4π

D. 10π

Answers

well, since arc's length is s = rθ where θ is in radians, and in the Unit Circle r = 1 and we also know that θ = 5π radians, then

s = (1)(5π)

s = 5π.

Compare using >, < or =
7 x 5/4 _ 7
How do you know your answer is correct?
Choose 1 answer:
A. Because we are multiplying 7 by a fraction that is less than 1.
B. Because we are multiplying 7 by a fraction that is equal to 1
C. Because we are multiplying 7 by a fraction that is greater than 1.

Answers

I think the answer will be:

C but i not that sure

Answer:

C. Because we are multiplying 7 by a fraction that is greater than 1.

Step-by-step explanation:

- Sumin -

What is the area of the shape?

Answers

Answer:12 units^2

Step-by-step explanation:

2*2=4

2*2*1/2=2

2*6*1/2=6

4+2+6=12

12 units^2

PLSSSS HELP <3
Which value of C represents a system with infinitely many solutions?
{6x+4y=14}
{9x+6y=C}

Answers

Answer: Option 2

Step-by-step explanation:

can someone help me with this question

Answers

Answer:

(4,2)

Step-by-step explanation:

It's parallel, so all of them have to be on the same way.

The last point has to be at the same distance from the one right above it

Answer:

C. (4, 2)

Step-by-step explanation:

(x, y)

if you put the last dot on (4, 2) and connected all of them, it would create a perfect parallelogram

Tallulah's family took a road trip to the Grand Canyon. Tallulah slept for the last 129 miles of the trip. If the total length of the trip was 300 miles, what percentage of the total trip had they traveled when Tallulah fell asleep?

Answers

When Tallulah fell asleep, the family had already traveled 57% of the total trip.

A percentage is a way of expressing a number as a fraction of 100. It is often used to describe proportions, ratios, or rates. For example, if 20 out of 100 people in a room are wearing red shirts, we can say that 20% of the people are wearing red shirts.

If Tallulah slept for the last 129 miles of the trip, it means that the family had already traveled 300 - 129 = 171 miles before she fell asleep.

To calculate the percentage of the total trip that they had traveled when Tallulah fell asleep, we can use the following formula:

Percentage = (Part ÷ Whole) x 100

Where "Part" is the number of miles the family had traveled before Tallulah fell asleep (171 miles) and "Whole" is the total length of the trip (300 miles).

Percentage = (171 ÷ 300) x 100

Percentage = 0.57 x 100

Percentage = 57%

Therefore, when Tallulah fell asleep, the family had already traveled 57% of the total trip.

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