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3 years ago

Inverse function details

Mathematics

1 answer:

Lerok [7]3 years ago

5 0

Step-by-step explanation:

First, replace f(x) with y ⇒ f(x)=6x-19 ⇒ y=6x-19

Then y with x and x with y ⇒ y=6x-19 ⇒ x=6y-19

Solve the equation from for y:

x=6y-19

x+19=6y dividing with 6

1/6 x +(19/6) = y

Replace y with f−1(x) ⇒ f−1(x)= 1/6 x +(19/6)

hope this helps!

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What is this number in standard form? plzzzzzzzzz i need this

Nookie1986 [14]

The answer is 82.046

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3 years ago

Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se

kolbaska11 [484]

Answer:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

Step-by-step explanation:

Given:

The expression to expand is given as:

$(x-3)(x-9)(x-4)$

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

$(a + b)(c + d) = ac + ad + bc + bd$

$(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27$

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

$(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)$

Therefore, the equivalent expression after expanding is given as:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

3 0

2 years ago

13x+5y=90 what is x? what is y?

Leona [35]

Answer:

X=-5y/13+90/13, Y=-13x/5+18

Step-by-step explanation:

You need to solve the equation for X and Y.

Solving for X:

13x+5y=90

Subtract 5y: 13x=-5y+90

Divide by 13: x=-5y/13+90/13

For Y:

13x+5y=90

Subtract 13x: 5y=-13x+90

Divide by 5: y=-13x/5+90/5

(Simplifies to -13x/5+18)

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3 years ago

Find the volume of a box that has a length of 7 cm, a width of 9 cm, and a height of<br> 11.2 cm.

astra-53 [7]

The answer is 705.6 cm^3.

Remember that volume of a box, rectangular prism, is: V = LWH.

So, V = 7(9)(11.2) = 705.6 cm^3

8 0

3 years ago

sarah had 28 stickers and put x number of stickers on her binded. haylee had 40 stickers and put three times as many stickers on

Mariana [72]

Answer:

Number of stickers Sarah had = 28

Number of stickers she put on her binder = x.

Number of stickers left with her = 28 - x

Number of stickers Haylee had = 40

Number of stickers she put on her locker = 3x

Number of stickers left with her = 40 - 3x

Both Sarah and Haylee had the same number of stickers left.

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=> 3x - x = 40 - 28

=> 2x = 12

=> x = = 6

Step-by-step explanation:

7 0

3 years ago