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3 years ago

15

Does the density of an iron bar depend on the length of the bar

1 answer:

STatiana [176]3 years ago

3 0

Yes the density will depend on the length of the bar. I hope that helps... sorry if I am wrong!!

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If f(x) = 9x – 8, which of the following is the inverse of f(x)?

zheka24 [161]

Answer: $f^{-1}$ (x) = $\frac{x+8}{9}$

Step-by-step explanation:

f(x) = 9x - 8 , to find the inverse of f(x) , replace f(x) with y , then the equation becomes

y = 9x - 8 , then make x , the subject of the formula ,

9x = y + 8

x = $\frac{y+8}{9}$

Finally , replace x , with $f^{-1}$ (x) and y with x , so we have

$f^{-1}$ (x) = $\frac{x+8}{9}$

8 0

3 years ago

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:

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

7 0

2 years ago

Please help me to solve

iVinArrow [24]

90-80=10. 9-6=1 and 0-0=0 so it equals 10. Hopefully this helped!! =“)

7 0

2 years ago

Hudson has a balance of -$12.50 in his bank account. Daniel has a balance of $6.25 in his bank account. Use absolute value to fi

nasty-shy [4]

Answer:

The absalute value is $6.25 because $12.50-$6.25=$6.25 and thats how much daniel has in his bank account.

8 0

3 years ago

Read 2 more answers

Help Asap i need my work done fast

natka813 [3]

Answer:

2. 4

3. 15

4. integer zero

5 0

2 years ago