Question:
The quantities x and y are proportional.
Find the constant of proportionality (r)
Answer:
Step-by-step explanation:
Given
Required
Determine the constant of proportionality (r)
Constant of proportionality (r) is calculated as
When
Substitute these values in the given formula
Convert both fractions to improper fractions
Multiply both sides by 
Reorder
Divide the numerator and denominator by 3
Convert to mixed fraction
<em>Hence, the constant of proportionality is </em>
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Answer:
a(n)=6*2^(n-1)
Step-by-step explanation:
a(n)=a(1)r^(n-1)
a(1) = 6
a(2)=6r^1=12
r=2
a(n)=6*2^(n-1)
Any number between 10 and -4.
So you would do 5*2x +5*-8 +15=-15
Then simplify so it would be 10x + -40 + 15 = -15
Then add -40 and 15 together
Then it would be 10x + -25 = -15
Then add 25 to -25 and -15
So it would be 10x = 10
And then divide 10 from 10 with would be 1 so x = 1
Answer:
Since we have g(4) just replace every x with 4:
g(4) = (4² -6)/(3×4 + 10)
= (16 - 6)/(12 + 10)
= 10/22 = 5/11
