Factor each polynomial completely.
b) 5x6 - 25x5 + 30x4
+

Answers

Answer 1

Answer:

10x+5

Step-by-step explanation:

You add or subtract 5x by -25x by 30x to get 10x. However, then you add 6-5+4 which is 5.

Answer 2

Answer:

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

Step-by-step explanation:

5[tex]x^{6}[/tex] - 25[tex]x^{5}[/tex] + 30[tex]x^{4}[/tex] ← factor out 5[tex]x^{4}[/tex] from each term

= 5[tex]x^{4}[/tex] (x² - 5x + 6) ← factor the quadratic

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (- 5)

The factors are - 3 and - 2 , then

x² - 5x + 6 = (x - 3)(x - 2)

Then

5[tex]x^{6}[/tex] - 25[tex]x^{5}[/tex] + 30[tex]x^{4}[/tex] = 5[tex]x^{4}[/tex] (x - 3)(x - 2) ← in factored form


Related Questions

Help i need the answer by 10am December 23

Show all work please!!

Zoom into image to see

Answers

Answer:

Simon:         55     hours

Alvin:           70     hours

Theodore:  159   hours

Total:         284  hours

Step-by-step explanation:

Let A, T, and S stand for the hours worked by Alvin, Simon, and Theodore.

We are told that:

A = S + 15,

T = 3S - 6

and

A + S + T = 284

Note that the first two equations state the value of A and T in terms of S.  Let's use them in the third equation, so that we'll have only one unknow:

A + S + T = 284

(S + 15) + S + (3S - 6) = 284

5S + 9 = 284

S = 55

Now use this value of S in the first two equations to find A and T:

A = S + 15

A = 55 + 15

A = 70

T = 3S - 6

T = 3*55 - 6

T = 159

(55 + 70 + 159) = 284

h(x) = 72 - 1
Over which interval does h have a negative average rate of change?
Choose 1 answer:
-3<<5
1<2<4
-3<<1
-1<<5
3 of
4.00
Check

Answers

Answer:

you're right, keep it up! you're very smart

HELP ASAP 10 POINTS


Which coordinates are the best estimate of the solution to the system of equations?

Hint: Which coordinate is closest to where the lines meet?
Question 4 options:


(6,0)


(0,5)


(1,4)


(1,5)

Answers

Answer:

(1,4)

Step-by-step explanation:

It was either (1,3) or (1,4) but there was no (1,3) so (1,4).

Hopes This Helps :)

Will someone give me explanation of this question below??

[tex]show \: that \: function \: y = ax+ {2a}^{2} \: is \: a \: solution \: of [/tex]
[tex]the \: differential \: equation[/tex]
[tex] 2( \frac{dy}{dx})^{2} + x ( \frac{dy}{dx} ) - y = 0 \\ [/tex]
Note: Don't spam and don't copy
Need answer with explanation
Don't answer if you don't know

Thank You!

Answers

If y = ax + 2a², then its derivative is dy/dx = a. Substitute y and dy/dx into the given equation and check if it results in an identity:

2 (dy/dx)² + x dy/dx - y = 0

2a² + ax - (ax + 2a²) = 0

0 = 0

This is of course true, so y = ax + 2a² is indeed a solution to the given equation.

The perimeter of a triangle is 42 centimeters. The longest side is 2 centimeters less than 3 times the shortest side and the pother side is 2 centimeters more than twice the shortest side. Find the length of each side.

Answers

Answer:

  7 cm, 16 cm, 19 cm

Step-by-step explanation:

Let s represent the length of the shortest side in cm. The longest side is 3s-2, and the other side is 2s+2. The perimeter is the sum of the side lengths.

  P = s + (3s -2) +(2s +2)

  42 = 6s . . . . . simplify, use the given value of perimeter

  7 = s . . . . . . . divide by 6

  2s+2 = 16

  3s -2 = 19

The side lengths are 7 cm, 16 cm, and 19 cm.

Isabella made two types of cakes: chocolate and vanilla. She cut all of the

chocolate cakes into 7 slices each and all of the vanilla cakes into 9 slices

each. If Isabella ended up with the same total number of slices of each type

of cake, what is the minimum number of slices of each type?

Answers

Answer:

To get the same total number of slices of each type of cake, the answer must be the LCM (lowest common multiple) of 7 and 9.

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70...

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90...

As you can see so far, 63 is the lowest common multiple of both 7 and 9.

Thus, the answer is 63

Answer: 63 ( but give the person above me brainliest because they explained it better )

Step-by-step explanation:

If the cakes have the same amount of slices then we must find the lowest common multiple which is 63

So both cakes have 63 slices

PLZ HELP MEEEEE GIVEING BRAINLYEST

Answers

Answer:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

4

x

2

y

3

Step-by-step explanation:

Answer:

[tex]4x^3y^4[/tex]

Step-by-step explanation:

WHAT DOES AN ANIMAL BREEDER DO?????????

I LITERALLY NEED HELP ON THIS ONE!!

Some school commercial thingy.

Answers

Answer:

Breeders cross animals of the same species with desirable traits to create desirable offspring.

Step-by-step explanation:

28 less than twice a number is equal to 6 . Find the number.

Answers

28 less than twice a number is equal to 6.Let the number be x.Therefore, by the problem[tex]2x - 28 = 6 \\ = > 2x = 6 + 28 \\ = > 2x = 34 \\ = > x = \frac{34}{2} \\ = > x = 17[/tex]

Answer:

x = 17

Hope you could get an idea from here.

Doubt clarification - use comment section.

What is 7x(-4) ? Please

Answers

[tex]\mathfrak{7x(-4)} [/tex]

[tex]\mathfrak{=7x*-4} [/tex]

[tex]\boxed{\mathfrak{=-28x}} [/tex]

[tex]\mathbb{MIREU} [/tex]

A company prints designs on T-shirts. They charge $40 for set-up costs plus $12 hirt. Complete the table of values for this situation.

Answers

Answer:

thanks

Step-by-step explanation:

Answer:1- $52 {40+12(1)=}

5- $100 {40+12(5)=}

10 - $160 {40+12(10)=}

50 - $640 {40+12(50)=}

What is (f+g) (x) f(x) = -3x g(x)=-2x^2+x as a polynomial or rational function in simplest form?

Answers

Answer:

56xy23

Step-by-step explanation:

56 x 12 bhi 56 xy23

help with these pleaseee

Answers

Percent Change = (new quantity - old quantity) / old quantity

#2:

(64 - 52) / 52

12 / 52

0.2308

23%

#4:

(12 - 18) / 18

-6 / 18

-0.33

33% decrease

#5:

(10 - 16) / 16

-6 / 16

-0.375

38% decrease

Hope this helps! :)

if ab =8 and a square + bsquare =35 then (a-b) cube​

Answers

[tex]\text{Given that,}\\\\ab = 8 ~ \text{and}~ a^2 +b^2 = 35\\\\\text{Now,}\\\\(a-b)^2 = a^2 +b^2 -2ab\\\\\implies (a-b)^2 =35 - 2 (8) \\\\\implies (a-b)^2 = 19\\\\\implies a-b = \pm\sqrt{19}\\\\\text{Case 1:}\\\\(a-b)^3 = (a-b)^2(a-b)\\\\\implies (a-b)^3 = 19 \left(\sqrt{19}\right)\\\\\text{Case 2:}\\\\(a-b)^3 = (a-b)^2(a-b)\\\\\implies (a-b)^3 = -19 \left(\sqrt{19}\right)[/tex]

what is the measure of ∠x?

Answers

From figure we have , ∠GFH = 80°  and ∠HGF = 60° , ∠GFH = 40° and ∠GFE = x°

Now,

In ∆HGF

Since Sum of the angles of a triangle is 180° :  

∠GFH + ∠HGF + ∠GFH = 180°

80° + 60° + 40° = 180°

14° + 40° = 180°

54° = 180° ………..(1)

∠GFH + ∠GFE = 180° [Linear pair]

80° + x° = 180°

x° = 180°-80°

x° = 100°

Hence the value of ∠x is 100°

Among the given options option (D) 100° is correct.

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Angle EFG and gfh are a linear pair the measure of EFG equals 4n + 25 and the measure of gfh equals 3n + 15 what are the measures of EFG and the measure of gfh...

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What is the sum of 7/13 and 11/26? Please help!!

Answers

Answer:

The sum of 7/13 and 11/26 is 25/26.

Step-by-step explanation:

7/13 + 11/26

The common denominator is 26

7/13 *2/2 +11/26

14/26 + 11/26

25/26

There are 65 seats on a train. 39 of the seats are empty. What percentage of the seats on the train are empty?

Answers

Answer: 60%

Step-by-step explanation:

39/65 = 3/5 = 60%

Answer:

60%

Step-by-step explanation:

65 seats in total = 100%

divide by 65 on both sides to get 1 seat

1 seat=1.54

times by 39

39 seats=60%

identify all possible answer for the statement below.

Answers

Answer:

it simple there nothing there Step-by-step explanation:

HELPPP ASAPPPPPPPPPPP

Answers

I can't see it can you retake the picture please so I can try to help if I know it?

Enzel goes online to buy a graphing calculator. He finds a site that currently has a promotion of 15% off on all orders over $50. Enzel decides to buy his graphing calculator, with a price tag of $83, at this site because he knows that he will get the 15% discount when he checks out. Enzel pays 4. 5% sales tax on the discounted price and pays a shipping fee of $6. 35. What is the total of Enzel’s online purchase? a. $80. 07 b. $80. 36 c. $86. 74 d. $93. 09 Please select the best answer from the choices provided A B C D.

Answers

Based on the cost of the calculator, the discount, the shipping fee, and the tax, the total cost of the purchase was a. $80.07

The cost of the calculator was:

= Cost of calculator x ( 1  - discount)

= 83 x ( 1 - 15%)

= $70.55

The sales tax would be:

= 70.55 x 4.5%

= $3.17

The total cost would be:

= Cost + Sales tax + Shipping fee

= 70.55 + 3.17 + 6.35

= $80.07

In conclusion, the total is $80.07.

Find out more on such at https://brainly.com/question/11239587.

What part of 28 is 17?

Answers

17 is 60.7% percentage of the number 28.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

We have to find what is 17 in 28.

To find this we have to multiply x with 100 and divide it by hundred which is equal to seventeen

x/100×28=17

0.28x=17

Zero point two eight times of x equal to seventeen

Divide both sides by 0.28

x=17/0.28

We get sixty point seven one percentage

x=60.71%

Hence,17 is 60.7% percentage of the number 28.

To learn more on Percentage click:

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Solve for all values of y in simplest form.
|4 - 5y| = 16

Answers

Answer:

[tex]y=-\frac{12}{5}[/tex]

   

I think this is the correct answer

after the outbreak of a mysterious disease, the average wait time at a hospital by 70%. Before the outbreak, the average wait time at a hospital is m minutes

Answers

Answer:

1.7m

Step-by-step explanation:

Given that 'm' was the waiting time before the outbreak

After the outbreak, waiting time increased by 70%.

This implies that :

70% of m increase

m + 70% of m

m + 70/100 of m

m + ( 70÷100 ) × m

m + 0.7m

= 1.7m

Step-by-step explanation:

a cook starts baking pies at the clock shown below. The first pie is done 25 min later. The 2nd pie is done 30 min later after the first pie which clock shows when the second pie was done

Answers

Answer:

1:45 pm

Step-by-step explanation:

its the hand thats a littke more on the left after 6

The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 40
pizzas in all, 40% of which were mushroom pizzas. How many mushroom pizzas did the
cafeteria make?

Answers

Answer

16 mushroom pizzas

Write a function in any form that would match the graph shown below.

Answers

Answer:

(x-6)(x+5)^2 - 50

The function that would match the graph shown below is [tex]f(x) = k / (x^2 - 25)[/tex]

where k is a constant.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

One example of a function that has intercepts on (5, 0) and (-5, 0) and continues to negative infinity and positive infinity is:

[tex]f(x) = k / (x^2 - 25)[/tex]

where k is a constant that ensures the function continues to negative infinity and positive infinity.

To find the value of k, we can use one of the intercepts, say (5, 0):

0 = k / (5² - 25)

0 = k / 0

This tells us that k can take any value, as long as the denominator is not zero. So, we can choose any non-zero value for k.

For example, let's choose k = 1:

[tex]f(x) = 1 / (x^2 - 25)[/tex]

This function has intercepts on (5, 0) and (-5, 0) and continues to negative infinity and positive infinity.

Thus,

The function that would match the graph shown below is [tex]f(x) = k / (x^2 - 25)[/tex]

where k is a constant.

Learn more about functions here:

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i know the pythagorean theorem

Answers

Answer:

I know the pythagorean theorem

Step-by-step explanation:

ok

if y is directly proportional with x and y=180 when x=15,what is the value of x when y=276

Answers

Answer:

23

Step-by-step explanation:

180/15 = 276/x

12 = 276/x

12x = 276

x = 23

I’ll give you a lot of points for this

Answers

Answer:

2. (3,4)

Step-by-step explanation:

Ok done.Thank to me :>

Plz help me with this

Answers

Answer:

C = 11.18

Step-by-step explanation:

You're trying to find c's value, right?

For triangles, a^2 + b^2 = c^2

What you want to do is replace the values into the formula.

A = 5

B = 10

5^2 + 10^2 = c^2

(^2 means squared by the way if you don't know)

Square the values.

25 + 100 = c^2

125 = c^2

You then have to find the root value of 125. What number squared equals 125?

Using a calculator, you would find the number is 11.18.

So, the value of c is 11.18

Please let me know if that wasn't what the question was asking and I'll try to help :)

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