solve for x ~
[tex]81x - 27x = 9[/tex]



thankyou ~​

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{vertex}{(\stackrel{h}{2}~~,~~\stackrel{k}{-11})}\qquad y=a(x-2)^2-11\qquad \qquad \textit{we also know that} \begin{cases} x=0\\ y=5 \end{cases} \\\\\\ 5=a(0-2)^2-11\implies 16=4a\implies \cfrac{16}{4}=a\implies 4=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=4(x-2)^2-11~\hfill[/tex]

The equation of the parabola that has the vertex at point (2,-11) and passes through the point (0,5) is y = 4 (x - 2)² - 11.

A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.

The general form of a parabola is,

y = a (x - h)² + k

where (h, k) is the vertex.

Given vertex is (2, -11).

Equation is,

y = a(x - 2)² - 11

Also, given that the parabola passes through the point (0, 5).

Substituting,

5 = a (0 - 2)² - 11

⇒ 5 = 4a - 11

⇒ a = 4

So the required equation is, y = 4 (x - 2)² - 11.

Hence the equation of the given parabola is y = 4 (x - 2)² - 11.

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Answer:

D

Step-by-step explanation:

Prisms all have flat sides. The last image has curved sides so it is a cylinder and not a prism.

The difference, in square feet, between the visible surface area of

The Great Pyramid and the first tower of the World Trade Center are 358704.

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The lateral surface area of this rectangular prism = Perimeter x height

The Great Pyramid of Giza, has a square base with a length of 756 feet, and the distance from the middle of any base side to the top is 612 feet.

The first tower was a rectangular prism with a square base whose sides

were 208 feet long. The tower was 1,368 feet tall.

Total surface area = base area + (1/2 × perimeter × slant height)

Perimeter of base = 4 × 756 = 3024 feet

Slant height = 612 feet

Base area = 756² = 571536 feet²

The total surface area

[tex]= 571536 + (1/2 \times 3024 \times 612)\\ 1496880 feet^2[/tex]

The surface area of this rectangular prism = Perimeter x height

Perimeter of base = 4 × 208 = 832 feet

Area = [tex]832 \times 1368\\\\1138176[/tex]

The difference, in square feet, between the visible surface area of

the Great Pyramid and the first tower of the World Trade Center are 358704.

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Answer:

A=35.5 degrees

Step-by-step explanation:

Check out the photo. Leave a comment if anything's not clear.

Answer:

c

Step-by-step explanation:

the line goes thru most of the points and it's in the same direction also bc i had that same question a couple days ago

Answer:

2 Answers By Expert Tutors

Since 400 is the mean and the standard deviation is 50, $400-$450 is +1 standard deviation. One standard deviation is 34.1% probability that the worker's wages would fall in this range.

None of the above because all are examples of the closure property as it relates to polynomials.

A function is known to be closed if its input value is equal to its output.

Accordng to the question, we need to select the function that obeys the law of closure.

To select the correct polynmials, we need to determine the function that has its left hand side equal to the right.

From the given options,we can see that all their right hand sides are equal to the left, hence we can conclude that "none of the above because all are examples of the closure property as it relates to polynomials"

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√5

You know that √4 = 2

so √5 > 2

2.5 * 2.5 = 6.25,

√6.25 = 2.5

so √5 in between 2 & 2.5

2 < n < 2.5

π/3

π/3 ≈ 3.14/3

3/3 = 1

4.5/3 = 1.5

π is in between 3 & 4.5

1 < n < 1.5

√3

√2.25 = 1.5

√4 = 2

√3 is in between

1.5 < n < 2

Hope this helped!

Answer:

2 hours 30 minutes

Step-by-step explanation:

Mike rides to School and back for 30 minutes. It means that he rides to school 15 minutes.

90min-15min = 75min (one way, walking)

2*75min = 150min = 2h 30min

Mike's will walk to school and back home 2h 30min

Answer:

$6

Step-by-step explanation:

B- 3P+2C=$41

C-1P+2C=$29

since they both bought at least 1 popcorn and 2 candy you can just subtract 29 from 41. you get 12 which equals the other 2 popcorns that ben bought

12/2=6

since you need to find the price of 1 popcorn you have to divide 12 by 2

Answer:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

1 / 5 = 0.20

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 20

Now, we will make the Fractional Part just one digit (nearest tenth) by using our rounding rules.*

In this case, Rule I applies, so 1/5 (or 0.20) rounded to the nearest tenth in decimal format is:

Answer:

1.1

Step-by-step explanation:

If the digit after tenth is greater then or equal to 5, add 1 to the tenth.

Answer:

97.31 [tex]m^2[/tex]

Step-by-step explanation:

The area of the octagon is:

[tex]\frac{8 * 5.3 * 2.65\sqrt{3} }{2}[/tex] ~97.31 m^2

Answer:

(x−1)43x3−8x2+10 can be resolved into partial fraction as x−1A+(x−1)2B+(x−1)3C+(x−1)4D

So , 3x3−8x2+10=A(x−1)3+B(x−1)2+C(x−1)+D

Put x=1 , we get 3−8+10=D

D=5

Comparing the coefficient of x3 on both sides we get , A=3 .

So equation reduces to 3x3−8x2+10=3(x−1)3+B(x−1)2+C(x−1)+5

Now compare the constant on both sides , 10=−3+B−C+5

=>8=B−C - (1)

Comparing the coefficent of x2 we get −8=−9+B

=>B=1

So , put B=1 in (1) , we get C=−7

Therefore , (x−1)43x3−8x2+10=x−13+(x−1)21−(x−1)37+(x−1)45

Step-by-step explanation:

hope it helps

We know that,

The surface of a cylinder is given by,

so,

the surface area of the given cylinder would be,

The difference between the interest Ben will earn in Account I and the interest Ben will earn in Account II at the end of 2 years is $1.32.

Simple interest is when only the amount deposited increases in value.

Simple interest = deposit x interest rate x time

1750 x 0.0275 x 2 = $96.25

Interest earned with compounding = future value - amount deposited.

The formula for calculating future value:

FV = P (1 + r) nm

1750 x (1/0275)^2 = $1847.57

$1847.57 - $1750 = $97.57

Difference in interest; $97.57 - $96.25 = $1.32

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Answer:

15x+30

Step-by-step explanation:

multiply 15 and x + multiply 15 and 2

15x+30

Answer:

D) 576 cubic cm

Step-by-step explanation:

[tex]16 \times 9 \times 4 = 576[/tex]

Answer:

the answer is D

Step-by-step explanation:

volume =height × length × width

so 9×4×16= 576

Using the permutation formula, it is found that there are 840 ways to place the letters.

The order in which the letters are placed is important, as PAST is a different arrangement that PTAS, for example, hence the permutation formula is used.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 4 letters are taken from a set of 7, hence:

[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]

There are 840 ways to place the letters.

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Answer:35

Step-by-step explanation:

The thickness of the pile of books measured by Juan and the information in the line plot is 5.

Based on the information in the line plot, the thinnest book has a thickess of  1 1/4 and the thickest book has a thickess of 2 1/2.

The thickness of the pile of books = (1 1/4 x 2) + 21/2

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

Please find attached the complete question. To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

Answer:

total marbles=3+10+8+4=25 marbles total

10 blue marbles/25 total marbles

10/25=2/5 probability

Step-by-step explanation:

Answer:

look at analysis

Step-by-step explanation:

11. 23.81

12.

part A

y is 12 and x is 4

part B

4

part C

5×12×4

240

Answer:

Length=14.4

Width=3.6

Step-by-step explanation:

l=4w

2l+2w=36

2(4w)+2w=36

8w+2w=36

10w=36

w=3.6

l=4w

4(3.6)

l=14.4

*check by plugging in answers into 2l+2w=36*

Answer:

[tex]L=\frac{72}{5}[/tex]      or 14.4

[tex]W=\frac{18}{5}[/tex]     or 3.6

Step-by-step explanation:

Please take note this probably not the easiest way to do the problem.

Formula for the Perimeter of Rectangle

[tex]P=2L+2W[/tex]

We are given the perimter.

[tex]36=2L+2W[/tex]

[tex]L=4*W[/tex]

To solve I would use the Gauss-Jordan method. (it is advanced, but it makes sense to me)

[tex]36=2L+2W[/tex]

[tex]L=4*W[/tex]

Write the coefficients of each eqaution as rows in the matrix.

[tex]\left[\begin{array}{ccc}2&2&36\\1&-4&0\\\end{array}\right][/tex]

Divide the first row by 2.

[tex]\left[\begin{array}{ccc}1&1&18\\1&-4&0\\\end{array}\right][/tex]

Multiply row 1 by -1 and add it to row 2.

[tex]\left[\begin{array}{ccc}1&1&18\\0&-5&-18\\\end{array}\right][/tex]

Divide the second row by -5.

[tex]\left[\begin{array}{ccc}1&1&18\\0&1&\frac{18}{5} \\\end{array}\right][/tex]

Multiply row 2 by -1 and add it to row 1.

[tex]\left[\begin{array}{ccc}1&0&\frac{72}{5} \\0&1&\frac{18}{5} \\\end{array}\right][/tex]

We now have an augmented matrix.

[tex]L=\frac{72}{5}[/tex]

[tex]W=\frac{18}{5}[/tex]

Answer:

A. $0.60

Step-by-step explanation:

there are 5 strikers that cost $0.60 each, so the answer is letter A.

Answer:It's 46.2

Step-by-step explanation:

Answer:

  surface area

Step-by-step explanation:

Wrapping paper covers the surface of an object.

To know how much paper he needs, Landry will need to determine the surface area of the present.

Answer:

x = 57,542.8571

Step-by-step explanation:

C(x) = 0.81x + 60,420

R(x) = 1.87x

At break even point, Cost function and revenue function becomes equal.

-> C(x) = R(x)

-> 0.81x + 60,420 = 1.87x

-> 60420 = 1.87x - 0.82x

-> 60420 = 1.05x

-> x = 60420/1.05

-> x = 57,542.8571

Thus, at break even point x = 57,542.8571

Answer:Yes

Step-by-step explanation:His complaint is valid.