Mathematics College

We want to factor the following expression: 25x^6-30x^3+9 We can factor the expression as (UVwhere Uand are either constant integers or single-variable expresSions 1) What are U and V?

Answers

Answer 1

Answer:

U = 5x^3

V = 3

(5x^3 - 3)^2

Step-by-step explanation:

Answer 2

(1) The value of U and V are U = 5x³ and V = 3.

(2) The factored form of 25x⁶ - 30x³ + 9 is (5x³3 - 3)²

What is a quadratic equation?

A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.

We can factor the expression 25x⁶ - 30x³ + 9 by first noticing that each term is a perfect square:

25x⁶ = (5x³)²

30x³ = 2(15x³)

9 = 3²

Now we can write the expression as the difference of two squares:

25x⁶ - 30x³ + 9 = (5x³)² - 2(5x³)(3) + 3²

Let U = 5x³ and V = 3. Then we have:

(5x³3 - 3)²

Therefore, the factored form of 25x⁶ - 30x³ + 9 is (5x³3 - 3)².

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Related Questions

Plot -5/2 and 0.3 on the number line

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Answer:

-5/2 is equal to -2.5, which is exactly halfway between -3 and -2.

.3 is three small ticks to the right of 0.

Simplify the linear expression.

−5/8a+2/3−1/4a−5/6

Enter your answer as simplified fractions in the boxes.
Brainliest to quickest and right answer

Answers

Answer:

-7/8a-1/6

Step-by-step explanation:

If you draw a card from a standard deck of 52 playing cards, what is the probability that it is a heart or a diamond?

Answers

Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

=26/52

= 1/2

-b-
Note: Figure is not drawn to scale.
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
OA.
21 m
OB.
32 m
29 m
34 m
OC.
OD.
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After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.

The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted measurement regarding the distance around the outside of a two-dimensional shape. In this system the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
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The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m

factorize6 + 13mn + 7mn?

Answers

☽------------❀-------------☾

Hi there!

Let's simplify step-by-step.

$6 + 13mn + 7mn$

Combine Like Terms:

$= 6 + 13mn + 7mn\\= (13mn+ 7mn) + (6)\\= 20mn + 6$

❀Hope this helped you!❀

☽------------❀-------------☾

2) Which two statements are not true?
The product of two irrational numbers is always rational
1. The sum of a rational and an irrational number is always irrational
c. The product of two rational numbers is always rational.
d. The product of a rational number (other than zero) and an irrational number is always irrational
e. A repeating decimal is not a rational number.
Grom per

Answers

Answer:

A repeating decimal is not a rational number and The product of two irrational numbers is always rational

Step-by-step explanation:

One statement that is not true is "The product of two irrational numbers is always rational". Take for example the irrational numbers √2 and √3. Their product is √6 which is also irrational.

The other false statement is "A repeating decimal is not a rational number". Take for example the repeating decimal 0.33333..... It can be written as 1/3 which is a rational number.

Part A: explain why x coordinates of the points where the graphs of the equations y=4^x and y=2^(x-1) intersect are the solutions of the equation 4^x=2^(x-1). Part B: Make tables to find the solution to 4^x=2^(x-1). Take the integer values of x between -4 and 4. Part C: How can you solve the equation 4^x=2^(x-1) graphically?

Answers

9514 1404 393

Explanation:

A. The given equation will have a solution when the value of x makes the left-side expression equal to the right-side expression.

The value of the left-side expression for a given value of x is the y-value of y=4^x. The value of the right-side expression for a given value of x is the y-value of y=2^(x-1). The left-side expression will be equal to the right-side expression for a given value of x when the graph of y=4^x and the graph of y=2^(x-1) have the same y-value. That is, the graphs will be of the same point for that x-value. That is what we mean when we say the curves will intersect at that point.

The x-coordinate of the point of intersection is the value that makes the expressions equal, hence it is the solution to the equation.

B. The tables are included in the first attachment. We have used f(x) to represent the left-side expression, and g(x) to represent the right-side expression.

C. As described in Part A, the graphs will cross at the solution point. Hence the equation can be solved graphically by graphing the left-side expression and the right-side expression and seeing where the graphs cross. (That is at the point (-1, 0.25) on the attached graph.)

Alternate graphical method

The solution can also be found graphically by graphing the difference of the expressions: y = 4^x -2^(x-1). This difference will be zero at the value of x that makes the two expressions equal. That is, the x-intercept of the graph of this difference will be the solution value. The second attachment shows this sort of graphical solution. (It works nicely because many graphing calculators will display the value of the x-intercept.)

Part A: explain why x coordinates of the points where the graphs of the equations y=4^x and y=2^(x-1)

Six times a number increased by 4 is no less than 50.
Which inequality represents this statement?
1: 6x+4≤50
2: 6x+4<50
3: 6x+4≥50
4: 6x+4>50

Answers

Answer:

Step-by-step explanation:

For this question, you just have to pick apart what "no less than" means. If I say I can have no less than 2 apples to eat, that's me saying that that's the minimum number I can have, but 2 apples is also still fine. In this case, that minimum is 50 but we can still have over 50. So, 6x+4 can be greater than or equal to 50.

I need to know
give 20 points to who answers this right.

Answers

Step-by-step explanation:

I believe it's 16 1/2. I just used MathPapa lol.

kindly assist in answering these questions

Answers

Do kcf so $\frac{1}{8} divided by 1 \frac{1}{2} = \frac{1}{8} x 1\frac{2}{1}$ to do kcf you first dont change the first numbers then change the symbol to multiplication and flip the fraction upside down so it could make 1 1/2 | 2.)14/6 because

(2*7) / (9*7) = 14/63

solve for c

c+d=15

3c+2d=36

Need help RIGHT NOW will mark brainliest

Answers

Multiply the top by -2 and just cross elimination the rest. Hope this helps.

solve for c c+d=15 3c+2d=36Need help RIGHT NOW will mark brainliest

$4 notebooks are on sale. He wants to buy for his students but he only have $12 to spend. How many notebooks can he buy?

Answers

3 notebooks

12/4 = 3 notebooks

Answer:

12$

Step-by-step explanation:

12 divided by 4 is 3.

Henri necesita empacar en la menor cantidad de de cajas, cinta de color rojo y cinta de color verde si hay 120 metros de cinta de color rojo y 160 metros de cinta de color verde ¿que cantidad de cinta roja y verde deberá empacar Henri en cada caja?

Answers

Answer:

Step-by-step explanation:

Majka Company was started on January 1, Year 1. During Year 1, the company experienced the following accounting events: (1) Issued 52,500 worth of common stock (2) earned cash revenues of $33,400, (3) paid cash expenses of $14,800, and (4) paid a $3,100 cash dividend to its stockholders. These were the only events that affected the company during Year 1.

Answers

The cash from financing activities for Majka Company, can be found to be

How to find the cash from financing activities ?

The net amount of financing a business generates during a specific time period is called cash flow from financing activities. The issuing and repayment of equities, the payment of dividends, the issuance and repayment of debt, and capital lease obligations are all examples of financial activity.

The cash from Financing activities for Majka Company is therefore:

= Common stock issued - Cash dividends

= 52, 500 - 3, 100

= $ 49, 400

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The full question is:

What were the cash flows from financing for the year?

PLEASE HELP

| y-x| + y-1

evaluate the absolute value expression for x= -3 and y= -6

Answers

Answer:

-4

Step-by-step explanation:

So we are given the expression: | y - x | + y - 1, and we have our values for (x,y): (-3,-6).

So, we can just start plugging things in and simplifying, so:

| -6 + 3 | - 6 - 1 = | -3 | -7

= 3 - 7

= -4

Based on a survey, assume that 38% of consumers are comfortable having drones deliver their purchases. Suppose that we
want to find the probability that when four consumers are randomly selected, exactly two of them are comfortable with
delivery by drones. Identify the values of n, x, p, and q.

Answers

Answer:

$n = 4$

$x = 2$

$p = 38\%$

$q = 62\%$

Step-by-step explanation:

Required

Find n, x, p and q

n always represent the population surveyed;

So:

$n = 4$

x represents the sample from the population

So:

$x = 2$

p always represents the given proportion

$p = 38\%$

Solving for q

$p + q = 1$

$q = 1 - p$

$q = 1 - 38\%$

$q = 62\%$

Math of Finance: Chapter 2 Test
When we left James, he had decided to take a job at Jimmy John's as a sandwich artist with an expected salary of
$31,200 per year. James is really looking forward to the pay increase to help take care of his wife and two kids
After working four weeks, he gets his first check. It is much less than he expected. It turns out he will only get paid
for two weeks because Jimmy John's has a delayed paying process. Everyone gets paid two weeks after they work to
give Human Resources time to prepare the tax information. Since James gets paid every two weeks, a)what is his
gross income for his checks? His pay was much less. It tums out, other people get his money first. He had to pay
Federal Income Tax. b)Use the chart on the back of the test to determine his FIT. He also has to pay State
Income Tax. Oklahoma has a flat 5% tax. c)What is his SIT at 5% of his paycheck? Also, something called FICA
was on his paystub. His employer told him it was a required 6.2% tax for Social Security Retirement and a 1.45%
tax for Medicare when he gets older. d)Find James' Social Security Tax. e)Find his Medicare Tax. What is the
amount of FICA Tax listed as being withheld(add together)? Next came the big schock. Apparently, the
Republican Party still hasn't ended required healthcare. Because of this, James has to pay for group insurance with
Jimmy John's. It is $100 every paycheck, g)what percent of James' gross income is this each month? Finally,
James looks at the other category. It has two deductions listed. First, it has Sandwich Union Body Dues. Annual
dues are $130. h)How much was taken out for SUB dues just this paycheck? The second charged deduction for
other was IRA Retirement. He remembers signing up because Jimmy Johns' offers a matching 5%. If James' is
maximizing the match, i)how much is being taken out for retirement from his paycheck? After going over all the
numbers with his boss, it looks like James' check is correct. j)How much was his net income? If these numbers
remain consistent through the year, k)how much will James bring home for the year? DWhat percent of his
expected salary is this? James was really looking forward to his big paycheck. He thought he would have enough
money to get a loan on a new car. m)Do you think he should try to get the loan or not? n>Explain your opinion.

Answers

Answer:

6.2

Step-by-step explanation:

hope it helpes you in the long run

What is the meaning of "$ \mathbb{N}=\bigcap \left \{X:X inductive \right \}$"?

$What is the meaning of "[tex] \mathbb{N}=\bigcap \left \{X:X inductive \right \}[/tex]"?$

Answers

The meaning of $\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}$ is that the set of natural numbers is the intersection of all inductive sets.

What does the set show ?

The set of natural numbers is inductive because it satisfies both of these conditions. The set is non-empty because it contains the number 1. And if x is a natural number, then x+1 is also a natural number.

In other words, a set is inductive if it satisfies the following two conditions:

The set is non-empty.If x is an element of the set, then x+1 is also an element of the set.

The concept of an inductive set is important in mathematics because it allows us to define the set of natural numbers.

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multipy (2c-1) (7c-5)

Answers

Answer:

2.8 or 2 4/5

Step-by-step explanation:

2c*7c= 14c

1*5= 5

14c/5=

Answer:

14c^2 - 17c + 5

Step-by-step explanation:

hope to get a brainliest hope you the bsat on it have a good day:)

Order these numbers from least to greatest. The top number in your list should be the least, and the bottom number should be the greatest A. 2.47, B.12/15, C.√3, D.2

Answers

Answer:

B, C, D, A

Step-by-step explanation:

A -- 2.47 = 2.47

B -- 12/15 = 0.8

C -- √3 = 1.732050808

D -- 2 = 2

Ans: 12/15, √3, 2, 2.47

**Hope this helps!

Supervisor: "I think you have been doing a great job, but you haven't been signing many people up for our new service feature. I want you to set a goal of signing up 25% of your new customers for our new service feature."
Representative: "If I get 96 new customers that means I have to get __________ of them to sign up for the new service feature."

Answers

It have get $24$ customer of them to sign up for the new service feature.

Given:

$96$ customer.

To find the solution by,

Multiply customer and sign up

$=96*25$%

$=96*\frac{25}{100} \\\\=2400/100\\\\=24$

Thus, it have get $24$ customer of them to sign up for the new service feature.

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[NO LINKS] Is $\sqrt{21} + \sqrt{100}$ RATIONAL or IRRATIONAL?

Answers

√21+√100

= √21+10

Though 10 is a rational number but, √21 is irrational, we know the sum of a rational and irrational number is an irrational number.

So, √21+√100 is irrational.

WILL GIVE BRAINLIST What is the volume of the cylinder below?
A. 36 units 3
B. 72x units
C. 45 units 3
D. 90x units 3

Answers

Answer:

Volume of the given oblique cylinder = 36π units³

Step-by-step explanation:

Volume of the oblique cylinder = πr²h

Here, 'r' = Radius of the circular base

'h' = Height of the cylinder

For the given oblique cylinder,

Radius of the circular base = 3 units

Height of the cylinder = 4 units

Volume of the cylinder = π(3)²(4)

= 36π units³

Therefore, volume of the given oblique cylinder = 36π units³

You flip a coin twice.What is the probability of getting heads and then getting heads?Write your answer as a percentage.

Answers

The probability of getting two heads after flipping a coin twice is 25%.

The probability of flipping a heads-up or a tails-up coin is 0.5 evenly, assuming the coin is not biassed. This holds true regardless of how many times you flip the coin because one flip's result has no bearing on subsequent flips.

The total outcomes of flipping a coin twice are head head, tail tail, head tail and tail head.

The favorable outcome is head and head, so the probability will be

Probability of getting heads and then heads $=\frac{1}{4}$

Now, converting it to percentage probability by multiplying it by 100,

$\frac{1}{4} \times 100$ = 25%

Hence, the percentage probability of getting head and again an head is 25 percent.

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The ratio of juniors to seniors in history class is 4 to 5. How many seniors are in the class if there are 12 juniors in the class?

Answers

Answer:

Step-by-step explanation:

4/5 4*3 is 12 5*3 is 15

Answer:

15 seniors

Step-by-step explanation:

Because, the ratio is 4:5 since there are 12 juniors you would divide by three to find out what is the value of the number you need to multiply to get how many seniors you have. In this situation the number is 3 therefore you would multiply it by 5, which would give us 15 seniors.

100% - 26% as a percentage and decimal

Answers

Answer: 1- 26%

Step-by-step explanation:

just divide 100 by 100 and remove the % sign :)

Please provide the answer

Answers

The radius of the circle is determined as r = 5.

option B.

What is the radius of the circle?

The radius of the circle is determined by applying the general formula for circle equation.

(x - h)² + (y - k)² = r²

where;

h, k is the center of the circle r is the radius of the circlex, y are the coordinates of any point on the circle

The given circle equation;

4x² + 4y² = 100

Simplify the equation by dividing through by 4;

x² + y² = 25

x² + y² = 5²

So from the equation above, the radius of the circle corresponds to 5.

r = 5

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The equation of a line is given below.Find the x-intercept and the y-intercept.Then use them to graph the line.SHOW POINTS WHEN GRAPHING

Answers

Given

2x + 6y = -18

Find

x intercept and y intercept. Then use them to graph the line.

Explanation

to find the y intercept , put x = 0

2(0) + 6y = -18

6y = -18

y = -3

now , put y = 0 to find the x intercept

2x + 6(0) = -18

2x = -18

x = -9

we have two points ; (0 , -3) and (-9 , 0)

plot these points on graph to make a line

Final Answer

Hence , the x intercept is -9 and y intercept is -3. The required graph is shown above.

What is the range of the data shown in the frequency table? 5,3,4 and 13

Answers

the answer is 5 :)
mark brainliest please??

What is the distance between four -7 and -5 -7

Answers

Answer: 9

Step-by-step explanation: Since the distance between these is only horizontal, it is easy to find. 4 + 5 = 9

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We want to factor the following expression: 25x^6-30x^3+9 We can factor the expression as (UVwhere Uand are either constant integers or single-variable expresSions 1) What are U and V?​

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We want to factor the following expression: 25x^6-30x^3+9 We can factor the expression as (UVwhere Uand are either constant integers or single-variable expresSions 1) What are U and V?