The mean in
2, 2, 3, 5, 7, 7, 9, 10?

The resulting expression for the factor of the provided polynomial with the help of grouping method is,

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

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation is,

[tex]4x^4 - 20x^2 -3x^2 +15[/tex]

Make the groups of the above equation by taking out, 4x^2 from first two terms and -3 from second equation.

[tex]4x^4 - 20x^2 -3x^2 +15\\4x^2(x^2- 5) -3(x^2 -5)[/tex]

Take out the common group to simplify further.

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

Thus, the resulting expression for the factor of the provided polynomial with the help of grouping method is,

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

Learn more about polynomial here;

https://brainly.com/question/24380382

to get the equation of any straight line we simply need two points off of it, hmmm let's use the points in the picture below for "a".

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-4)}}}\implies \cfrac{-6}{2+4}\implies \cfrac{-6}{6}\implies -1[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-1}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-3=-1(x+4)\implies y-3=-x-4\implies y=-x-1[/tex]

Answer:

13 pints I believe

Step-by-step explanation:

6.5 x 2 = 13

Answer:

Step-by-step explanation:

13

Answer:

x = 3

Step-by-step explanation:

x  + 9 = 12

To solve the equation, we have to isolate 'x'.

To isolate x,  subtract 9 from both sides.

x + 9 - 9 = 12 - 9

x = 3

Answer:

[tex]\boxed{\sf{x=3}}[/tex]

Step-by-step explanation:

The only thing you need to do to solve this problem is to isolate the term x from one side of the equation.

x+9=12

First, subtract by 9 from both sides.

[tex]\sf{x+9-9=12-9}[/tex]

Solve.

[tex]\sf{12-9=3}[/tex]

[tex]\boxed{\sf{x=3}}[/tex]

Therefore, the final answer is x=3.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

0

Step-by-step explanation:

when anything is multiplied by zero it equals 0

Answer:

y=3/4x-3

Step-by-step explanation:

subtract 3x from both sides: -4y=-3x+12

divide by -4: y=3/4x-3

Monthly amount, M = $102×4 = $408.

Also, yearly amount, Y = M×12 = $408×12 = $4896

It is given that 25% of the cost is contributed by Marcus.

Amount Marcus paid

[tex]=\dfrac{\$4896 \times 25 }{100}\\\\= \$1224[/tex]

Therefore, his employer contribution annually for coverage is $( 4896 - 1224)=$3672.

Hence, this is the required solution.

Answer:

first one;)

Step-by-step explanation:

Answer:

m<92⁰

Step-by-step explanation:

m<16 = 55⁰

m<20 = 55

55 + 33 =88

the sum of the inside of a triangle is 180⁰ so

180 - 88 =92

Answer:

set up schools

Step-by-step explanation:

Answer:

200 invests and 5% earned

Step-by-step explanation:

200 plus 5% is 210 dollars

Answer:

$54

Step-by-step explanation:

If Jaine has $378, the opposite of 7 times would be dividing. So all you have to do is 378/7=54.

Answer:

Step-by-step explanation:

3y=6x+3

solve by substitution for 3y=6x+3

3y=4x+6

6x+3=4x+6

6x-4x=6-3

2x=3

3y=6x+3 ⇒ y=6x/3 + 3/3 ⇒ y=2x+1

y=2x+1 ( substitute x=3/2)

y=2(3/2)+1

y=3+1

Answer:

See below.

Step-by-step explanation:

[tex]\frac{1}{12} +\frac{1}{6} = \frac{2 + 1}{12} = \frac{1}{4}[/tex]

[tex]\frac{1}{4} - \frac{1}{8}=\frac{2-1}{8} = \frac{1}{8}[/tex]

[tex]\frac{2}{3} +\frac{1}{3} = 1[/tex]

[tex]\frac{1}{2} - \frac{1}{6} = \frac{3-1}{6} = \frac{1}{3}[/tex]

Answer:

1/12 + 16 = 1/4

1/4 - 1/8 = 1/8

2/3 + 1/3 = 1

1/2 - 1/6 = 1/3

Step-by-step explanation:

1/12 + 1/6

LCM of denominators 12 and 6 = 12

1/6

Multiply 2 to both numerator and denominator,

1/6 * 2/2

= ( 1*2 )/( 6*2 )

= 2/12

1/12 + 1/6

= 1/12 + 2/12

= ( 1 + 2 )/12

= 3/12

12 = 3*4

3/12

= 3/( 3*4 )

= 1/4

1/4 - 1/8

LCM of denominators 4 and 8 = 8

1/4

Multiply 2 to both numerator and denominator,

1/4 * 2/2

= ( 1*2 )/( 4*2 )

= 2/8

1/4 - 1/8

= 2/8 - 1/8

= ( 2 - 1 )/8

= 1/8

2/3 + 1/3

= ( 2 + 1 )/3

= 3/3

= 1

1/2 - 1/6

LCM of denominators 2 and 6 = 6

1/2

Multiply 3 to both numerator and denominator,

1/2 * 3/3

= ( 1*3 )/( 2*3 )

= 3/6

1/2 - 1/6

= 3/6 - 1/6

= ( 3 - 1 )/6

= 2/6

6 = 2*3

2/6

= 2/( 2*3 )

= 1/3

please mark me as brainlest

Answer:

C) 3^3*x^-3

Step-by-step explanation:

okay, so let's just find the numerator and denominator separately

So 27 is equal to 3^3. Numerator done.

Now for the denominator:

You need to know the laws of indices, specifically the one which says that square root of something is the same as to the power of 1/2, where the 1 signifies the power of the number inside the root and the 2 is for the square root. This means that the cube root would be power of 1/3.

So here cube root of x^9, would be equivalent to x^9/3, which can be simplified to x^3/1 ---> x^3.

This leaves us with 3^3/x^3. However, this isn't an option. We need to simplify the divide part of the expression. We can do that by using another law of indices which states that anything to the power of a negative number is the same as 1 over that number. (For example, x^-5 = 1/x^5) If there are numbers in front of the x, then that number would replace the 1, such as the following example: 9x^-3 = 9/x^3.

In this question, our 3^3/x^3 could be changed using this law to give, 3^3*x^-3

I hope this made sense and was helpful :))

Answer:

the answer is 21 because 3x7 is 21

Answer:

5x-18

Step-by-step explanation:

18 less than the product of 5 and a number.

The product of 5 and a number is equal to 5x.

You then subtract 18 from the product and you get 5x-18

Answer:

5x-18

Step-by-step explanation:

For a standard,  year $16000 home/car loan 7.25% APR with payments due at the end of the month, calculate the monthly payment:

Calculate Months:

Your loan term is for years.

Months = 12 * Years

Months = 12 *

Months = 0

Now calculate monthly Annual Percentage Rate (APR):

APR  =   Annual APR

  12

APR  =   7.25

  12

 APR  =  0.0060416666666667 <----- This is the effective interest each month.

Now calculate Annual Percentage Yield (APY):

APY = ((1+APR)12 - 1) * 100%

APY = ((1 + 0.0060416666666667)12 - 1) * 100%

APY = ((1.0060416666667)12 - 1) * 100%

APY = (1.0749582974213 - 1) * 100%

APY = 0.074958297421329 * 100%

APY = 7.5% <----- What you actually pay in interest with monthly compounding.

Calculate our monthly loan payment:

Monthly Payment  =   Loan Amt * APR

  1 - (1/(1 + APR))n

Monthly Payment  =   16000 * 0.0060416666666667

  (1 - (1 /(1 + 0.0060416666666667))0

Monthly Payment  =   96.666666666667

  (1 - (1 / 1.0060416666667)0

Monthly Payment  =   96.666666666667

  1 - 0.99399461586250

Monthly Payment  =   96.666666666667

  1 - 1

Monthly Payment  =   96.666666666667

  0

Monthly Payment = 0

Now calculate the total number of payments you will make:

Total Payments = Monthly Payment * Months in the Loan

Total Payments = 0 * 0

Total Payments = $0.00

You will end up paying $0.00 - $16,000.00 = $-16,000.00 above the principal on this loan.

Answer: 960 crayons

Step-by-step explanation:

From the question, we are informed that Mr Andrew bought 15 boxes of crayons at the store to share with his students and that each box contains 64 crayons.

The equation that represents ​c​, the total number of crayons that Mr. Andrew bought will be:

C = 15 × 64

= 960 crayons

Let's set these two numbers as 'a' and 'b'

Now, let's set up equations based on the information known:

Equations

Solve:

  (Equation 1) + (Equation 2)

  2a = 80

     a = 40 -- equation 3

  (Equation 3)

     40 + b = 52

       b = 12

So a  = 40 and b = 12

Hope that helps!

Answer:

back 5 miles south west

Step-by-step explanation:

hope this help have a good day.

Answer:

A

Step-by-step explanation:

one circle for top of cylinder and one for the bottom

Answer:

The answer is D. The volume of the rectangle = 180 x 1/3 x 1/3 x 1/3 = 180/27=6 + 18/27.

Unit cube = 1 x 1 x 1

Step-by-step explanation:

Hope this helps!

Answer:

476

Step-by-step explanation:

THAT SHOULD BE 28*17 Wich is 476

Answer:

28 x 17 = 476

Step-by-step explanation:

It's saying it buys 28 desks for each office. Since there's 17 offices you have to add 28 17 times, so basically you multiply 28 by 17 and you get 476 which is the total number of desks bought.

ANSWER : 476 Desks

Answer:

polynomial is a an algebraic expression with 2 or more terms

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]

[tex] \huge \sf \: a {x}^{2} + bx + c[/tex]

Answer:

i) True

ii) True

Step-by-step explanation:

Given :-

Point (-1, 2)

To Find :

Whether the point is a solution of :

Solving :-

Substitute the value of the point in each of the equations.

=> y = -2x

=> 2 = -2(-1)

=> 2 = 2 [∴ The point makes it true]

=> y = x + 3

=> 2 = -1 + 3

=> 2 =  2 [∴ The point makes it true]

Answer:

true

Step-by-step explanation:

first, you take the y = -2x and plug that into y = x + 3. so your equation should be -2x = x + 3. you then solve for x which comes out to be -1. you then plug the -1 into y = -2x. your equation should be y = -2(-1). solve for y which equals 2. the point that you got from both equations matches the point from the equation given so it is true.

Answer:

2.25 hours

Step-by-step explanation:

Hope this helps! sorry was a tad bit late

It took 2 hours and 15 minutes to repair the car.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that,

Total bill for the repair of car = $357

Let's say it took x hour to repair the car

So,

32x will be the labor cost

Now,

Labor cost + cost of parts = total bill

So,

32x + 285 = 357

32x = 72 ⇒ x = 2.25 hour

Now,

0.25 hour in minutes ⇒ 0.25 × 60 = 15 minutes.

Hence "It took 2 hours and 15 minutes to repair the car".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

Answer:

no solutions

Step-by-step explanation:

Solving

Step 1: Subtract 3 from both sides.

Step 2: Subtract 3 from both sides.

Therefore, there are no solutions to this equation.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

No solution l

Solving steps:

=> R + 3= (r - 5)

=> [tex]r - r + 3 = r - r - 5[/tex]

=> [tex]3 = - 5[/tex]

Step 1: substract 3 from both side

=> [tex]3 - 3 = - 5 - 3[/tex]

Step 2: Subtract 3 - 3 and -5 - 3

=> 0 = - 8