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3 years ago

What is 4/11 simplified

Mathematics

1 answer:

Marat540 [252]3 years ago

8 0

Answer:

4/11 is already simplified as much as it can be in fraction form. as a percent its 36.3636%

Step-by-step explanation:

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Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

Drupady [299]

Answer:

$a'(d) = \frac{d}{5} + \frac{3}{5}$

$a(a'(d)) = a'(a(d)) = d$

Step-by-step explanation:

Given

$a(d) = 5d - 3$

Solving (a): Write as inverse function

$a(d) = 5d - 3$

Represent a(d) as y

$y = 5d - 3$

Swap positions of d and y

$d = 5y - 3$

Make y the subject

$5y = d + 3$

$y = \frac{d}{5} + \frac{3}{5}$

Replace y with a'(d)

$a'(d) = \frac{d}{5} + \frac{3}{5}$

Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

Solving for $a(a'(d))$

$a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})$

Substitute $\frac{d}{5} + \frac{3}{5}$ for d in $a(d) = 5d - 3$

$a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3$

$a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3$

$a(a'(d)) = d + 3 - 3$

$a(a'(d)) = d$

Solving for: $a'(a(d))$

$a'(a(d)) = a'(5d - 3)$

Substitute 5d - 3 for d in $a'(d) = \frac{d}{5} + \frac{3}{5}$

$a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}$

Add fractions

$a'(a(d)) = \frac{5d - 3+3}{5}$

$a'(a(d)) = \frac{5d}{5}$

$a'(a(d)) = d$

Hence:

$a(a'(d)) = a'(a(d)) = d$

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2 years ago

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8_murik_8 [283]

I think it’s the answer is D

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1 year ago

What's the equation of the line shown above?

Ira Lisetskai [31]

Your answer is D here.

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3 years ago

The base of a triangle measures (3x − 6) units and the height measures (2x + 4) units. Part A: What is the expression that repre

Anettt [7]

To answer this item, we use the equation given for the calculation of the area of the triangle.

A = 0.5bh

Substituting the known expressions,

A = (0.5)(3x – 6)(2x + 4)

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A = 0.5(6x^2 + 12x – 12x – 24)

A = 0.5(6x^2 – 24)

Part B: The equation for area of has a degree of two because the highest exponent is 2.

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3 years ago

Read 2 more answers

I just need help on all of it

Inessa [10]

a
c
d
a
d
f
c
b
b
b
d
c
a
d
c
a
c
a-3+7/9=2.99
c
d
d

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2 years ago