Answer:
1
Step-by-step explanation:
Hope this helps
Answer:
x = 15
Step-by-step explanation:
given that y varies directly with x
mathematically we can express this as
y = k x , where k is a constant
step 1: find k
given x = 3 and y = 21
y = k x
21 = k (3)
k = 7
hence the equation becomes
y = 7 x
when y = 105,
105 = 7x
x = 105 / 7 = 15
Answer:

Step-by-step explanation:
Simplify the expression and you will get this.
hope this helps
Given:
The function is:

To find:
The steps of finding the inverse function
.
Solution:
We have,

The steps of finding the inverse function are:
Step 1: Substitute
.

Step 2: Interchange x and y.

Step 3: Taking square on both sides, we get

Step 4: Adding 21 on both sides, we get

Step 5: Divide both sides by 7.

Step 6: Substitute
.
, where
.
Therefore, the inverse of the given function is
and the arrangement of steps is shown above.
Answer:
Option C.The decrease in the value of the motorcycle, which is 9%
Step-by-step explanation:
we have a exponential function of the form

where
a is the initial value
b represents growth or decay factor
If b >1 then it is an exponential growth
if 0<b<1 then it is an exponential decay
In this problem
a=$19,000
b=0.91 -----> it is exponential decay factor
Find the rate of decrease r
b=(1-r)
substitute
0.91=1-r
r=1-0.91=0.09
Convert to percentage
0.09*100=9%
therefore
0.91 represent the decrease in the value of the motorcycle, which is 9%