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Answer:

  (x^3)/27

Step-by-step explanation:

The power rule applies.

  ∫(x^n) = (x^(n+1))/(n+1)

__

  [tex]\displaystyle\int\dfrac{x^2}{9}\,dx=\dfrac{x^3}{3\cdot9}=\boxed{\dfrac{x^3}{27}}[/tex]

Answer:

A is the answer

Answer:

the first one is the answer y = (x-2)^2 + 1

Step-by-step explanation:

The vertex form of a quadratic function is y = a(x – h)^2 + k, where a, h, and k are constants.  h and k are vertex.

vertex is (2,1) which is (h,k)

passes through (0,5)

Equation is  y = a( x - 2)^2 + 1 . now substituting (0,5) in for x and f(x),

5 = a ( 0 - 2) ^2 + 1 and solve for a.....

5 = 4a + 1

5-1 = 4a

4a = 4..........  a = 1

equation becomes y = 1(x-2)^2 + 1 or y= (x-2)^2 + 1

Answer:

1764

Step-by-step explanation:

Y=6b+12ab^2

Let a = 4

b = 6

Y = 6(6) +12 (4)(6)^2

   = 36 + 12 (4) (36)

   = 36+1728

   =1764

Answer:

[tex]\huge\boxed{\sf Y = 1764}[/tex]

Step-by-step explanation:

[tex]Y = 6b+12ab^2\\\\Given \ that \ a = 4 , \ b = 6\\\\Putting \ values\ in \ given \ equation\\\\Y = 6(6) +12(4)(6)^2\\\\Y = 36 + 48(36)\\\\Y = 36 + 1728\\\\Y = 1764\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Step-by-step explanation:

Area of a parallelogram = H * B

Where ;H = height and B = 7

From the question our height = 10m and base = 7m

H * B

= 10m * 7m

=70m²

Therefore the area of the parallelogram is 70m²

Answer:

[tex]thank \: you[/tex]

Answer:

y=x+1

Step-by-step explanation:

if it passes through (1,2), the y-intercept will be 1 and the slope will stay the same is the equation will be y=x+1

Answer:

£1009.8

Step-by-step explanation:

1) 1320/100*15= 13.2*15= 198- Sunday discount,

2) 1320-198=1122- The value with Sunday discount,

3) 1122/100*10= 112.2 - the student's discount,

4) 1122-112.2= 1009.8

The student paid £990 for the purchase of the laptop.

An equation is used to show the relationship between two or more numbers and variables.

The student purchase the laptop on a Sunday, hence:

Total discount = 15% + 10% = 25%

The laptop usually sells for £1320. Hence:

Discount = 25% of £1320 = 0.25 * 1320 = £330

Price paid by the student = £1320 - £330 = £990

The student paid £990 for the purchase of the laptop.

Find out more on equation at:https://brainly.com/question/24868934

Cost of TV= Rs. 6000

Money spent on repair= Rs. 1500

So, money left after repair= 6000-1500= Rs. 4500

She sold it for Rs. 5,500

Therefore, Profit= 5500-4500= Rs. 1000

So profit= Rs. 1000

Answer:

2,000 loss

Step-by-step explanation:

Total Revenue - Total Expenses = Profit

Total expenses = 6,000(Original cost) + 1500(repairs) = 7,500

Total revenue =  selling price = 5,500

Therefore the Profit or Loss(negative number) =

        5,500 - 7,500 = -2000 or 2,000 loss  

Step-by-step explanation:

putting X in place of sin we get,

4x²-5x-6

4x²-8x+3x-6

4x(X-2) +3(x-2)

(4x+3)(x-2)

putting back sin in place of X

(4sin+3)(sin-2)

Answer:

5 times

Step-by-step explanation:

please follow me

Answer:

yes

Step-by-step explanation:

x = 1, y = 0

so,

-5×1 + 7×0 = -5

-5 + 0 = -5

-5 = -5

true, therefore (1, 0) is a solution (a point on the graph) of the equation.

I am not sure what the other pair should be.

Answer:

27

Step-by-step explanation:

3(5+1+3) distribute

15+ 3+ 9 add

27

The coordinate of JK is (-1.7, -0.3)

The coordinate of the points that divides the line segment in the given ratio is calculated as:

[tex](x, y) = (\frac{ax_1 +bx_2}{a+b} , \frac{ay_1 +by_2}{a + b} )[/tex]

where;

a:b = 7:8

From the image;

(x₁, y₁) = (-6, 5) and,

(x₂, y₂) = (2, -5)

Substitute the given points in the equation above to calculate the coordinates of JK.

[tex](x, y) = (\frac{7(-6)+8(2)}{7+8} , \frac{7(5) +8(-5)}{7+8} )\\\\(x, y) = (\frac{-26}{15} , \frac{-5}{15} )\\\\(x,y) = (-1.7, -0.3)[/tex]

Thus, the coordinate of JK = (-1.7, -0.3)

Check the image uploaded for the plot of point K

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The inverse of the function y = 9x -4 is obtained by a reflection in the line at ( y = x ). Hence Option D is correct.

Each point of the original figure (the pre-image) has an image that is the same distance from the reflection line as the original point but is on the other side of the line. This transformation is known as a reflection over the line.

The inverse relation for y= 9x -4 will be calculated by putting the value of x equal to y or replacing x by y and y by x in the equation.

Hence Option D is correct.

To know more about the reflection of line follow

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Answer:

rational number

Step-by-step explanation:

it is being expressed in form of p/q

Step-by-step explanation:

Accounts balance=$20

Part time job salary=$110

Total balance

\begin{gathered}\\ \sf\longmapsto 110+20=130\$\end{gathered}

⟼110+20=130$

Now

Price of comics=$40

Price left for bike

\begin{gathered}\\ \sf\longmapsto 130-40=90\$\end{gathered}

⟼130−40=90$

After buying the dream bike, John's account balance will be -$110.

Let's calculate John's account balance after each transaction step by step:

1. Initial balance: $20

2. Weekly paycheck: +$110

  Account balance = $20 + $110 = $130

3. Buys comic books: -$40

  Account balance = $130 - $40 = $90

4. Buys dream bike: -$200

  Account balance = $90 - $200 = -$110

After buying the dream bike, John's account balance will be -$110. This means he will have a negative balance of $110, indicating that he owes the bank or whoever manages the account. It's important to be cautious with negative balances as they can result in overdraft fees or other penalties depending on the account type and the bank's policies.

To know more about account:

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Answer:

y-intercept is (0, 9)

Step-by-step explanation:

At y-intercept, x is 0

[tex]y = 9[/tex]

Answer: (0, 9)

Concept:

The y-intercept of a function is the point at which the graph of the function crosses the y-axis.

In other words, the y-intercept is the point when the x value is 0.

Solve:

Find the point where the x value is 0

It is the fourth from the left, where the x value is 0.

The y value is 9.

Finalize the point

x value is 0

y value is 9

Point = [tex]\boxed{(0, 9)}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

see below

Step-by-step explanation:

C=2[tex]\pi[/tex]r

76=2[tex]\pi[/tex]r

r=[tex]\frac{76}{2\pi }[/tex]=38[tex]\pi[/tex]= 119.380520836

diameter: d=2(radius)=2(119.380520836)= 238.761041672

area= [tex]\pi (r)^{2}[/tex]=[tex]\pi[/tex](119.380520836)^2= 14251.70855[tex]\pi[/tex]

Answer:

-5,4

Step-by-step explanation:

midpoint x is a 3 point difference. 3 points in the opposite direction is -5

midpoint y is also a 3 point difference. 3 points in the opposite direction of that is 4

so I believe the correct answer should be (-5,4)

Polygons with all same sides is an equilateral.

Answer:

do you understand it

Step-by-step explanation:

do you understand it

The amount of honey he use for each salad is : 12 / 4 = 3 (milliters)

SO he used 3 milliters on each salad

Mark as Brainliest If the answer is helpful!

Answer:

they are not equal

Step-by-step explanation:

-8v-12=-8v-12

4v+12=4v+12

but you can solve it as an equation

-8v-12=4v+12

make v the subject

-8v-4v=12+12

-12v=24

divide both sides by-12

your answer is-2

Answer:

5.70

Step-by-step explanation:

Take the price per bag and multiply by the number of bags

.95 * 6 =5.70

Answer: 2

Step-by-step explanation:

f=2

s=8

[tex](8)\div(2(2))\\8\div4\\2[/tex]

Answer:

2

Step-by-step explanation:

s/ (2f)

Let s = 8

and f = 2

8 / ( 2*2)

8/4

2

Answer:

[tex]2x - 9 \leqslant 1 \\ 2x \leqslant 10 \\ x \leqslant 5 \\ thank \: you[/tex]

L=6x+3

B=-2x-5

[tex]\\ \rm\longmapsto Perimeter=2(L+B)[/tex]

[tex]\\ \rm\longmapsto Perimeter=2(6x+3-2x-5)[/tex]

[tex]\begin{gathered}\\ \rm\longmapsto Perimeter=2(4x-2)\end{gathered}\begin{gathered}\\ \rm\longmapsto Perimeter= 8x-4\end{gathered}[/tex]