(5x^5) - (80x^3)
factoring

Answers

Answer 1

Answer:

Factoring the term [tex](5x^5) - (80x^3)[/tex] we get [tex]\mathbf{5x^3(x-4)(x+4)}[/tex]

Step-by-step explanation:

We need to factor the term [tex](5x^5) - (80x^3)[/tex]

First we can see that [tex]5x^3[/tex] is common in both terms

So, taking [tex]5x^3[/tex] common:

[tex](5x^5) - (80x^3)\\=5x^3(x^2-16)[/tex]

We can write [tex]x^2-16[/tex] as [tex](x)^2-(4)^2[/tex]

[tex]=5x^3((x)^2-(4)^2)[/tex]

Now we can solve [tex](x)^2-(4)^2[/tex] using the formula: [tex]a^2-b^2=(a+b)(a-b)[/tex]

We can write:

[tex]=5x^3((x)^2-(4)^2)\\=5x^3(x-4)(x+4)[/tex]

So, factoring the term [tex](5x^5) - (80x^3)[/tex] we get [tex]\mathbf{5x^3(x-4)(x+4)}[/tex]


Related Questions

slope of 0 and passes through (7, 4)

Answers

Answer:

y = 4

Step-by-step explanation:

Assuming you require the equation of the line.

A line with a slope of zero is a horizontal line parallel to the x- axis, with equation

y = c

where c is the value of the y- coordinates the line passes through

The line passes through (7, 4 ) with y- coordinate 4, thus

y = 4 ← equation of line

The chemical acidity of a solution is measured in units of pH: pH=-log[H+], where [H+] is the hydrogen ion concentration in the solution. What is [H+] if the pH=8.8?

Answers

Answer:

3.5

Step-by-step explanation:

The chemical acidity of a solution is measured in units of pH: pH=-log[H+], where [H+] is the hydrogen ion concentration in the solution. 1.58 x 10⁻⁹ is [H+] if the pH=8.8.

What do you mean by pH ?

The term pH is defined as the negative logarithm of the [H+] hydrogen ion.

The isolated hydrogen ion, represented by the symbol H+, hence it is used to represent a proton. Because the bare nucleus can readily combine with other particles like electrons, atoms, and molecules, the  hydrogen ion.

The formula for calculating [H+] hydrogen ion is as follows:

pH = - log[H+]

Given pH = 8.8

8.8 = - log[H+]

-8.8 =  log[H+]

Taking Antilogarithm Both side

Antilog of [-8.8] = [H ]

By solving above expression [H+]

= 1.58 x 10⁻⁹

Thus, 1.58 x 10⁻⁹ is [H+] if the pH=8.8.

To learn more about the pH, follow the link;

https://brainly.com/question/15289741

#SPJ2

Billy reads 75 pages of a novel in 50 minutes. At this rate, how many hours will billy spend reading the entire 350-page novel?

Answers

Answer:

8hours 45minutes

WORKING OUT

75÷50=1.5

so 1 page would take 1.5 minutes

1.51 x 350= 525 minutes

8.75 hours

Explain or show - Describe how the graph of y=3x+1 is the same and different from the graph of y=3x+4. your reasoning YA a. How are they the same? b. How are they different? x c. Explain or show your reasoning: (Feel free to use graph paper if you'd like.)​

Answers

Answer:

a.) they have the same slope

b.) they have different y-intersepts

c.) in the slope-intercept formula y = mx + b, m is the slope and b is the y-intercept. since the two equations have the same slope but different y-intercepts we can infer they are parallel.

Mary went to the supermarket and noticed that 3 pounds of chicken was $15. If she wanted to buy 7 pounds of chicken, how much would it cost

Answers

Answer

$35

Step-by-step explanation:

3lbs is 15 so get the price of 1 lb by dividing 15 by 3 which is 5. then multiply 5 by how many lbs you want. in this case 5 time 7 is 35

Answer:

$35.00

Step-by-step explanation:

each pound of chicken cost $5 so 5x7=35

Which of the following are adjacent angles?

Answers

Answer:

c

Step-by-step explana i think its right

i don’t kno the answer help

Answers

Answer:

Yes

Step-by-step explanation:

It is true because the equation would be 1 is less than or equal to 3-(-4)

Find x.
Side splitter theorem

Answers

Answer:

x = 9

Step-by-step explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{8}{8+4}[/tex] = [tex]\frac{x-3}{x}[/tex] , that is

[tex]\frac{8}{12}[/tex] = [tex]\frac{x-3}{x}[/tex] ( cross- multiply )

12(x - 3) = 8x

12x - 36 = 8x ( subtract 8x from both sides )

4x - 36 = 0 ( add 36 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

Which mathematical property is demonstrated?

7 + 9 + 3 = 7 + 3 + 9


commutative property of addition

associative property of multiplication

commutative property of multiplication

associative property of addition

Answers

Answer:

I am pretty sure that the answer to this question is A: comunative property of addition

Step-by-step explanation:

I'm 99% sure

I'm sorry if it turns out to be wrong

cause I have not yet finished the test

Over the past 15 years, a business owner has made at most $4,000 in profits each week .Which graph represents the business owner's possible profits each week ?

Answers

Answer:

3,120,000

there are 52 weeks in a year:

52 x 15 = 780

Now multiply the salary to it:

780 x 4,000 = 3,120,000

I think this is correct

Answer:

d

Step-by-step explanation:

I got it correct so it must be correct

Can someone please help me on Number 3 Please :)

Answers

Answer:

18000000 km

Step-by-step explanation:

25000*24*30=18000000

75,000 is the answer you’re looking for

WHOEVER ANSWERS THIS FIRTS GETS BRAINIEST

Answers

Answer:

62mm

Step-by-step explanation:

Add each side together, check answer.

Start by adding 17 and 10 together. Break it down and that equals 27. Add 11 and you get 38. Add 19 and 5 to get 24 and add that to 38. Answer, 62mm.

Gregor Mendel is examining peas to try to understand how traits are passed from parents to offspring. Today, Gregor has 228 peas to examine. The pods have 6 peas per pod.
How many pods of peas are there?

Answers

Answer:

There are 38 pods, because 228 divided by 6= 38

Step-by-step explanation:

(number of pods)×(peas per pod)=(total peas)

PLEASE HELP ASAP!!

The graph represents which system of inequalities?

A.) y<=-2x+3
y<=x+3

B.) y>=-2x+3
y>=x+3

C.) y<=-3x+2
y<=-x+2

D.)y>-2x+3
y>x+3

Answers

Answer:

Its the yellow area

Step-by-step explanation:

CAN YOU PLEASE HELP ME ?

Answers

Answer:

Where is the question we can help you with

I don't understand, help.​

Answers

9514 1404 393

Answer:

x = 20°y = 70°

Step-by-step explanation:

The hash marks indicate that the lower triangle is isosceles. That means its base angles are equal. The external angle marked 40° will be the sum of those two equal angles, so ...

  x + x = 40°

  x = 20°.

x is one of the two acute angles in the right triangle. The other is y, which is the complement of x.

  y = 90° -x = 90° -20°

  y = 70°

_____

Additional comments

The angle marked 40° is one of a "linear pair". The other angle in that pair is the obtuse angle in the lower triangle. Its measure is 180°-40° = 140°. The two base angles of that isosceles triangle are both x°, so you have ...

  x° +x°+140° = 180°

  2x° = 180° -140° = 40°

That is, the sum of the two angles will be equal to the external angle marked 40°. The relevant theorem says "an exterior angle is equal to the sum of the remote interior angles." Remembering this is a useful shortcut, so you don't have to find the third interior angle, which is 140° in this case.

Please help me ASAP. ( and actually try and not just type something random)

Answers

Answer:

i think shell pay 24$ between 3 and 4pm

and an additional $12

Step-by-step explanation:

sorry if this is wrong:(

Describe and correct the error in using properties of parallelograms.

Answers

Answer/Step-by-step explanation:

Opposite angles of a parallelogram are equal to each other.

Therefore, <S = <U, and <T = <V

Consecutive angles of a parallelogram are supplementary.

Therefore,

m<S + m<V = 180°

50° + m<V = 180°

m<V = 180° - 50° (subtraction property of equality)

m<V = 130°

Simplify the expression.

Answers

Answer:

-2.5

Step-by-step explanation:

-0.25x-6-5.5x-8.4=0

-5.75x-14.4=0

-5.75x=14.4

x= -2.5

The cost of renting a boat at a lake is $35 per hour plus $5 for life jackets. Write an
• equation in slope-intercept form that can be used to calculate the total amount you would pay for
renting a boat. (assume only you need a life jacket)

Answers

Answer:

y = 35x + 5

Step-by-step explanation:

Slope-intercept form is y = mx + b

m is the slope, b is the constant, or y-intercept.

In this case, 5 is our constant. You pay a one-time fee of $5 for a life jacket. This price doesn't change nor do you have to pay it again, so this is your constant.

35 is our slope. 35 represents the $35 you pay for each hour with the boat. This is our slope because it will change overtime, based on x, or the number of hours you are renting the boat.

y is the total cost, since you have to add up $35 times the number of hours you are renting, plus the $5 for the life jacket.

brainliest to who ever answers correctly

Answers

Answer:

it’s either no slope or 0, I dont exactly know which one you would put in to be correct

Step-by-step explanation:

no slope i’m pretty sure let me know what the answer is if i’m wrong

A submarine rises to the ocean's surface at 720 feet in 6 minutes. Find the points submarine's change in elevation per minute.

Answers

Answer:

The submarine gains 120 feet of elevation per minute.

Step-by-step explanation:

I need help on this pls. Will give brainliest.

Answers

Answer:

a, b, and d

Step-by-step explanation:

you can have the same output, but not the same input

Answer: a, b, d

Step-by-step explanation:

the x values (input values) CANNOT be the same in a set of coordinates; if they do have the same x values, then the are not a function.

both c and e have some of the same x values so they can't pass the vertical line test and therefore are not functions.

hope this helps!!

Three friends go grocery shopping together, and each guys the same kinds of strawberries. Akio buys 2 pounds and pays 1.50. Gordon buys 3 pounds and pays 2.25. Maria buys 4 pounds and pays 3.00.

Answers

Answer: Graph B

Step-by-step explanation:

The unit price for the strawberries is:

= 1.5 / 2

= $0.75 per pound

Graph B is the right graph as it uses a unit price of $0.75 per pound for strawberry price. This is why it has points of the graph that mirror the friends purchases such as (2, 1.5) , (3, 2.5) and (4, 3).

Answer:

wut lol

Step-by-step explanation:

solve: x2 + 8x - 9 = 0
please i need it urgently​

Answers

Answer:

x = 1 or x = -9

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + 8 x - 9 = 0

Hint: | Solve the quadratic equation by completing the square.

Add 9 to both sides:

x^2 + 8 x = 9

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 16 to both sides:

x^2 + 8 x + 16 = 25

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 4)^2 = 25

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 4 = 5 or x + 4 = -5

Hint: | Look at the first equation: Solve for x.

Subtract 4 from both sides:

x = 1 or x + 4 = -5

Hint: | Look at the second equation: Solve for x.

Subtract 4 from both sides:

Answer: x = 1 or x = -9

help with this .........

Answers

9514 1404 393

Answer:

  x = 30

Step-by-step explanation:

Supplementary angles total 180°.

  5x° +x° = 180°

  6x = 180

  x = 180/6 = 30

The value of x is 30.

complete the equation 4/5= ____×
1/5​

Answers

Answer:

HI! I think the answer is 4.

Answer:

4/5 = 4 x 1/5

Step-by-step explanation:

Since we can write 4 as 4/1, that means 4 is the answer. This is because you multiply the top numbers and the bottom numbers, 4x1 is 4, and 1x5 is 5, so that means the answer is 4 since that problem got us 4/5.

Help me hurry please
Giving points

Answers

Increased:B,E
Decreased:A,D
Stayed the same:C
B and E increased. A and D decreased, and C stayed the same. :)

What’s the solution for x- 4 = 2

Answers

Answer:

6

Step-by-step explanation:

6-4=2

Answer: x=6

Step-by-step explanation:

x-4=2

x = 2+4

x=6

Check: 6-4=2

x/-3 is less than -10
solve the inequality​

Answers

Answer:

-7 or just 7

Step-by-step explanation:

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