Find (fg)(x) using long division for f(x)=2x3−12x2+7x−27 g(x)=2x2+5 The quotient is The remainder is

Answer:

see below

Step-by-step explanation:

a rigid transformation preserves lengths and angles

if the shapes don't look the same or they are the same shape but smaller or bigger than the other one it's not a rigid transformation

if the corresponding angles are the same that works too

Answer:

[tex]A=81\pi $ m^2[/tex]

Step-by-step explanation:

Circumference of the column [tex]=18\pi $ meters[/tex]

Circumference of a circle[tex]=2\pi r[/tex]

Therefore:

[tex]2\pi r =18\pi $ meters\\2r=18\\r=18 \div 2\\$Radius, r=9 meters[/tex]

Area of a Circle [tex]=\pi r^2[/tex]

Since radius of the cross section of the column =9 meters

Area of the cross section of the column

[tex]=\pi *9^2\\=81\pi $ m^2[/tex]

Answer:

81pi

Step-by-step explanation:

Answer:1/4

Step-by-step explanation:

The slope of a perpendicular line is the "negative reciprocal" of the slope of the original line.

Answer:

d. 2.4 in

Step-by-step explanation:

So initially w/o frame the area was 5 x 7 = 35 sq in.

Now we have to add the width of the frame to both dimensions.

(5+w)(7+w) = 69.56 sq in

35 + 7w + 5w + w² = 69.56

w² + 12w + 35 = 69.56

w² + 12w - 34.56 = 0

I use the quadratic formula to solve this (x = -b±√b²-4ac / 2a). I cheat by using a quadratic program on the calculator :,)

w = 2.4

w = -14.4

Since we can't have a negative width, the answer must be w = 2.4 inches.

You can also just plug the answer choices one-by-one into the calculator with guess-and-check because this is multiple choice.

Answer:  d) 2.4 inches

Step-by-step explanation:

Let x represent the width of the frame

Then the area of the frame is:

(x + 5)(x + 7) = 69.56

Rewrite it in Standard form of a quadratic equation:

x² + 12x + 35 = 69.56

x² + 12x - 34.56 = 0

Use Quadratic Formula to solve for x:

[tex]x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-12+\sqrt{12^2-4(1)(-34.56)}}{2(1)}\\\\\\x=\dfrac{-12+\sqrt{282.24}}{2}\\\\\\x=\dfrac{-12+16.6}{2}\\\\\\x=\dfrac{4.8}{2}\\\\\\x=\large\boxed{2.4}[/tex]

Answer:

I would say 9

Step-by-step explanation:

range is the difference between the largest and the smallest values in a data set.  the range in this case is 3. so, we have to either add to 6 or subtract from 6.

but we've been told that Lee's shoe size is not three so it 6 + 3 = 9.

hope this helps

Answer:

Below.

Step-by-step explanation:

i) (a + b)^2 = a^2 + 2ab + b^2

= (x + y)^2 + 2(x + y)(x - y) + (x - y)^2

=  x^2 + 2xy + y^2 + 2(x^2 - y^2) + x^2 - 2xy + y^2

=  x^2 + 2x^2 + x^2 + y^2 - 2y^2 + y^2 + 2xy - 2xy

= 4x^2.

ii) (a - b)^2 = a^2 + b^2 - 2ab

=  (x + y)^2 + (x - y)^2 - 2 - 2(x^2 - y^2)

= x^2 + 2xy + y^2 + x^2 - 2xy + y^2 - 2x^2 + 2y^2

=  x^2 + x^2 - 2x^2 + y^2 + y^2 + 2y^2 + 2xy - 2xy

=  4y^2.

Answer:

Anna will need 1375 g of oats

y=2

Step-by-step explanation:

Make an equation of straight line by using the formula :y= mx+c

put the x-value of point (2,4) which is 2 and the gradient,m which is 2 into the straight line equation:

y=2x +c

So you need to find the y-intercept to complete the equation, therefore:

when y=0,

0=2(2)+c

c=-4

next the question ask to find the y-coordinate when x =3, therefore you just need to replace x in the equation with 3:

y=2(3)-4

y=4

Answer:

7.809 g/cm^3

Step-by-step explanation:

Density is mass over volume so we need to find the mass and volume of the steel.

First we find the volume of the wood:

Vw = 9*6*6 = 324 cm^3

now we can find the mass of the wood, as mass = density * volume

mw = .68*324 = 220.32g

subtracting the mass of wood from total mass, we get the mass of steel

970-220.32 = 749.68g

now we can find the volume of the pyramid

Vs = 1/3 *6*6* (17-9) = 96 cm^3

Now we divide mass by volume to get density

749.68/96 = 7.809 g/cm^3

Confirming this with known data, density of steel is roughly between 7.75 and 8.05 g/cm^3 so we know we're correct.

Answer: A. 7x(2x + 5)

Step-by-step explanation:

7x * 2x = 14x^2

7x * 5 = 35x

Answer:

A. 35 deg

Step-by-step explanation:

Use the exterior angle measure theorem.

The measure of the exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

60 + x = 95

x = 35

Let's organize what the problem gives us:

We can already tell that the initial amount of kids Mr. Smith has before we factor in the brother count is equal to 4, for the 4 daughters that were stated as a given in the problem.

Now, the tricky part comes in the form of "each daughter had 4 brothers." Remember that within a family, everyone has the same siblings. It doesn't matter which family member's perspective you are looking from, but your siblings will always stay the same. We can show this with an example:

Suppose I had a family of 4 kids total. I had 2 daughters and 2 sons. Their names were Rose, Sakura, David, and Andrew. Rose would then have 3 siblings: Sakura, David, and Andrew. Sakura would also have 3 siblings: Rose, David, and Andrew, so on and so forth.

Applying this example and knowledge to our current problem, if Mr. Smith's daughters each had 4 brothers, then the total number of kids Mr. Smith has is 8 total kids (4 daughters + 4 sons) since each daughter's brother would be the same sibling.

This would be called double-counting if you counted that each daughter would have 4 different siblings, resulting in a false answer of 16 kids (4 daughters multiplied by 4 brothers for each daughter).

∴ Mr. Smith has 8 kids.

___

Topic: Math

Unit: ?

Answer:

A intersection B or A Π B

Step-by-step explanation:

The intersection of A and B is the set of all those elements which belong to both A and B.

In given Venn diagram describe the shading region is A intersection B or A ∩ B

A Venn diagram is an illustration that uses circles to show the commonalities and differences between things or groups of things Venn diagrams, also called Set diagrams or Logic diagrams, are widely used in mathematics, statistics, logic, teaching, linguistics, computer science and business. Many people first encounter them in school as they study math or logic, since Venn diagrams became part of “new math” curricula in the 1960s. These may be simple diagrams involving two or three sets of a few elements, or they may become quite sophisticated, including 3D presentations, as they progress to six or seven sets and beyond. They are used to think through and depict how items relate to each within a particular “universe” or segment. Venn diagrams allow users to visualize data in clear, powerful ways, and therefore are commonly used in presentations and reports. They are closely related to Euler diagrams, which differ by omitting sets if no items exist in them. Venn diagrams show relationships even if a set is empty.

According to the question

The intersection of A and B is the set of all those elements which belong to both A and B.

Hence, the given Venn diagram describe the shading region is A intersection B or A ∩ B

To learn more about Venn diagram from here https://brainly.in/question/9613505

#SPJ2

Answer:

d

Step-by-step explanation:

this says x is greater than -4 meaning the integers cannot include -4

it also says x is less than or equal to one meaning that it can include 1 but not more than 1

d satisfies this inequality.

Answer:

28.8%

Step-by-step explanation:

1875 - 1335 = 540

[tex]\frac{540}{1875}[/tex] x 100% = 28.8%

Answer: 12a

Step-by-step explanation:

All we need to do is combine the like terms. Which all of them have the common variable a so we can add and subtract them together.

6a - 3a + 9a

Working left to right according to pemdas we can subtract first.

3a + 9a

Now add.

12a

That is as far as we can simplify.

Answer: 1/200 * (5a-2b)(5a+2b)

Step-by-step explanation:

a^2/8 - b^2/50

Factor out 1/200,

1/200 * (25a^2 - 4b^2)

Using a^2 - b^2 = (a-b)(a+b),

1/200 * (5a-2b)(5a+2b)

Answer:

1/2(a/2+b/5)(a/2-b/5)

Step-by-step explanation:

a²/8- b²/50= 1/2(a²/4- b²/25)= 1/2(a/2+b/5)(a/2-b/5)

To calculate mean you add up all the numbers you have, then divide it by the total pieces of data, for example: 2 4 3 1 = 2+4+3+1=10 10÷4=2.5

To calculate median, you find the middle number, it helps to put the numbers in order. If there are two middle numbers, add them up and divide by 2.

To calculate mode, you find the number that appears the most.

Comment if you want the answers.

Answer:

C

Step-by-step explanation:

f(x)=72-4x

72-4x=0

4x=72

x=18

f(x)<=18

Answer:

$4/ hour

Step-by-step explanation:

every hour you go you add 4 dollars

example: 1 hour is $2

                2 hours is $6

Answer:

18

Step-by-step explanation:

Look at the paired sides

what would the ratio of 10 and 15 be

2:3

So let's apply that to the other side

12:?

2:3

6*3=18

Let me know if I am right

Answer:

x=2

y=2

Step-by-step explanation:

You can use the process of elimination

x can't be 3 because than the first question would be 9+y=8 which is even bigger than the answer.

So now, we try 2. x=2

6+y=8 which =

6+2=8

So y must be two

Then we try it on the

Second one.

8-6=2 which makes sense.

Hope it helps

Answer:

x = 2

y = 2

Step-by-step explanation:

3x + y = 8..…...(1)× -3

4x - 3y = 2......(2)× 1

-9x - 3y = -24.......(3)

4x - 3y = 2..…..........(4)

Cancel -3y - 3y

-9x - 4x = -24 - 2

-13x = -26

Divide both sides by -13

x = 2

Substitute for the value of y

3x + y = 8

3(2) + y = 8

6 + y = 8

y = 8 - 6

y = 2

Answer:

x=-1½

Step-by-step explanation:

1/3^x=27^x+2

3^-x=3^3x+6

-x=3x+6

-6=3x+x

-6=4x

x=-1½

Answer:

5

Step-by-step explanation:

Find the difference between coordinates:

(x²-x1) = (9 - 4) = 5

(y²-y1) = (6 - 6) = 0

Square the results and sum them up:

(5)² + (0)² = 25 + 0 = 25

Now Find the square root

Answer:

x=11/4

Step-by-step explanation:

2x-7/4=x+3/3

2x-7/4=x+1

-x         -x

x-7/4=1

 +7/4  +7/4

x=11/4

Answer:

É necessário dividir por 3 para calcular a média simples das 3 notas.

Média = 7.

Step-by-step explanation:

O resultado deve ser dividido por três porque três notas com pesos iguais (projeto, prova e trabalho em grupo) foram somadas, portanto para calcular a média bimestral de Laura, a soma das três notas deve ser dividida por 3. A média de Laura é:

[tex]M=\frac{5,0+6,5+9,5}{3}\\ M=7[/tex]

Answer:

(x-5)

Step-by-step explanation:

x^2 -25

We know this is the difference of square

(x-5)(x+5)

Since the length is (x+5)  the width must be (x-5)

Given:

To be calculated:

Calculate the width of rectangle?

Formula used:

Area of Rectangle = L × b

Solution:

We know,

Area of Rectangle = L × b

⇒ x² - 25 = x + 5 × b

⇒ b = x² - 25 / x + 5

⇒ b = x² - 5² / x + 5

⇒ b = ( x + 5 ) ( x - 5 ) / x + 5

⇒ b = x - 5

Answer:

First solve the first one

2/x -3/x = 1

Multiply through by x

2/x×x -3/x×x = x

You will get

2 - 3 = x

x = - 1

Substitute x into the second Equation

1/x - 2/y = 2

x = 1

1/1 -2/y = 2

-2/y = 2-1

-2/y = 1

y = -2

Therefore x = - 1 and y = - 2

Hope this helps.

The cube root of a number is the number which when multiplied by itself three times give you the original number. ... The square root of a number is the number which when multiplied by itself twice give you the original number. As an example, the square root of 9 is 3 because 3×3 = 9