Answer:
The inverse of
y
=
2
x
is
y
=
log
2
x
Explanation:
This is how to do it.
From the given
y
=
2
x
interchange the variables so that
x
=
2
y
then solve for y:
x
=
2
y
take the logarithm of both sides with base
=
2
log
2
x
=
log
2
2
y
log
2
x
=
y
and
y
=
log
2
x
The graph of
y
=
2
x
and its inverse
y
=
log
2
x
. They are symmetric with the line
y
=
x
graph{(y-2^x)(y-log x/log 2)(y-x)=0[-20,20,-10,10]}
Answer:
C) 26
Step-by-step explanation:
41 , 35,30 , X , Y ,15
Number of data's = 6. So, median will be the average of 
. 3 and 4th term
Median = 
30 + X = 25*2
30 + X = 50
X = 50 - 30
X = 20
Mode is 15
So, Y = 15
41,35,30,20,15,15
Answer:
Initial charge is $2.5
Hourly charge is $3.5/hr
Equation is y=3.5x+2.5
Step-by-step explanation:
Getting slope
Get fixed charge
Get equation
The slope can be found as follows. For 1 hour, charges is $6 so making time in x axis while money charged in y axis, the first coordinate is (1, 6) while for 4 hours with charge of $16.5 the coordinate will be (4, 16.5)
The slope will be given by dividing change in y axis to change in x axis. This will be (16.5-6)/(4-1)=3.5
To get the fixed charge
Using the equation y=mx+c where m is slope while c is fixed charge, x is time and y is total cost then for 1 hour
6=3.5(1)+c
C=6-3.5=2.5
Therefore, generally the equation will be y=3.5x+2.5
Initial charge is $2.5
Hourly charge is $3.5/hr
Equation is y=3.5x+2.5
Answer:
$22.20
Step-by-step explanation:
We are told that $13.32 only covered 3/5 of the cost. Does this mean it covered the whole cost? No. The 5 in the denominator represents the whole cost, and the 3 represents the fraction of the cost. In this case, 13.32 represents the 3, as it did not cover the whole cost.
Let's set up our equation by making 13.32 into a fraction.
13.32/x
We will represent the present's actual cost with the letter x.
13.32/x = 3/5
We want to make sure the 13.32 is in the numerator, equal to the 3 in the numerator in the 3/5 number, because we know that $13.32 only covered for a <em>fraction </em>of the present's cost, not the whole cost.
We solve this by doing cross multiplication. Multiply the 13.32 by the 5.
13.32 x 5 = 66.6
Next we divide 66.6 by 3 to get 22.2
66.6/3 = 22.2
This gives us our final answer of $22.20. This means that the cost of the original present was $22.20
