Answer:
n+3=5m
Step-by-step explanation:
Answer: b = 2a
Step-by-step explanation:
<u>Original equation</u>
a = (1/2) b
<u>Multiply 2 on both sides</u>
a * 2 = (1/2) b * 2
Hope this helps!! :)
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Answer:
Amount = p( 1+r/100) ^n
= 12000 ( 1+10/100) ²
= 12000( 10/10+1/10) ²
= 12000( 11/10) ²
= 12000 x 11/10 x 11/10
= 14520 rs.
Compund interest = amount - principal
= 14520 - 12000
= 2520rs.
Next question :- no of men can complete a piece of work in 7 days = 36
No of men can complete a piece of work in 42 day = ( 36 x 7 ) ÷ 42
= 252 ÷ 42
= 6 men
f(x)=x3−5
Replace f(x)
with y
.
y=x3−5
Interchange the variables.
x=y3−5
Solve for y
.
Since y
is on the right side of the equation, switch the sides so it is on the left side of the equation.
y3−5=x
Add 5
to both sides of the equation.
y3=5+x
Take the cube root of both sides of the equation to eliminate the exponent on the left side.
y=3√5+x
Solve for y
and replace with f−1(x)
.
Replace the y
with f−1(x)
to show the final answer.
f−1(x)=3√5+x
Set up the composite result function.
f(g(x))
Evaluate f(g(x))
by substituting in the value of g into f
.
(3√5+x)3−5
Simplify each term.
Remove parentheses around 3√5+x
.
f(3√5+x)=3√5+x3−5
Rewrite 3√5+x3
as 5+x
.
f(3√5+x)=5+x−5
Simplify by subtracting numbers.
.
Subtract 5
from 5
.
f(3√5+x)=x+0
Add x
and 0
.
f(3√5+x)=x
Since f(g(x))=x
, f−1(x)=3√5+x is the inverse of f(x)=x3−5
.
f−1(x)=3√5+x
The y is going to be 165 if the x is 54 because you need to multiply by 3 each time.
