There is a rule:
One input(x-value) can only have one output(y-value) in order to be a function.
If one input has more than one output, it is not a function.
(This doesn't apply to outputs, one output can have more than one input and still be a function)
The 1st option is not a function because the inputs 9 and 10 have more than one output.
The 2nd option is not a function because the input 3 has more than one output.
The 3rd option is a function because each input only has one output.
The 4th option is not a function because the input 5 has more than one output.
Answer:
125 adults
175 children
Step-by-step explanation:
3900=8c+20a
300=c+a
c=300-a
substitute
3900=8(300-a)+20a
reduce
3900=2400-8a+20a
1500=12a
a=125 adults
substitute for a
c=300-a
c=300-125
c=175 children
Answer:
6(6a-2b)
Step-by-step explanation:
Answer:
x = 1.24
Step-by-step explanation:
In order to get that x down from its current position of exponential, you need to take either the log or the natural log of both sides. The power rule tells us that we can then pull the exponent down in front. So let's take the natural log of both sides:
We can bring the x down in front to give us:
ln(83) = x ln(35)
The right side of this is "stuck" together by multiplication, so we can undo that multilication by division of the ln(35). That leaves us with just x on the right:
Do this on your calculator and find that x = 1.24
Answer: Mr Drysdale deposited 14,500
Step-by-step explanation:
Using the simple Interest formula
Simple Interest = Principal(Initial Money) * Interest Rate * Time Period
I = P*R*T
I = PRT
To get P which is the initial money he deposited, we divide both sides by RT
I/RT = PRT/RT
I/RT = P
Therefore the money deposited
P = I/RT
Interest (I)= 906.25
Interest Rate (R)= 6.25% = { converting percentage to decimal} (6.25/100)= 0.0625
Time Period (T) = 1 year
Principal (P)= ?
P= I/RT
P= 906.25/(0.0625 * 1)
P= 906.25/0.0625
P= 1450
The money he deposited in his local bank is 14,500
