Answer:
Part A: x= number of shifts he works at the theater y= number of dog-walking jobs.
Part B: The only terms are 85x and 15y.
Part C: 15y
Step-by-step explanation:
Part A: The variables are the xy reasoning to this is due to them being the replacements of the numbers which aren't known.
Part B: The terms are pieces of the expression which are together.
Part C: It is the one used above for the dogs " $15 for every dog-walking job."
Answer:
$32.07
ROUNDING ANSWER : $32
Step-by-step explanation:
you would subtract $44.95 -$12.88 which would give you $32.07
since you are rounding your answer would be $32
Hope this helps
Answer:
Step-by-step explanation:
We have been given that
We can use the formula for difference of cubes to simplify the function f(x)
difference of cubes -
And g(x) can be written as
Thus, we have
On cancelling the common factors, we get
Answer:
It is 4.
Step-by-step explanation:
If x is the greatest number and b the remainder the we have the equations:
ax + b = 183
cx + b = 91
dx + b = 43 where a,c and d are whole numbers.
Subtracting the last equation from the first:
ax - dx = 140
x (a - d) = 140
So x must be a factor of 140.
140 = 2 * 2 * 5 * 7
Trial and error:
Let x = 35 :
43 / 35: remainder is 8
91 / 35 : rem = 21 So NOT 35.
x = 7: 43/7 rem = 1
91 / 7 rem = 0 So NOT 7.
x = 5: 43/5 rem = 3, 91/5 rem = 1 , NOT 5.
x = 10 43/10 rem 3, 91/10 rem 1 NOT 10.
x = 20 43/20 rem 3, 91/20 rem 11 so NOT 20.
x = 28 43/28 rem 15, 91/28 rem 7 so NOT 28.
x = 14: 43 / 14 rem =1, 91/14 rem = 7 NOT 14.
x = 4: 43/4 rem 3, 91/4 rem 3, 183 / 4 rem 3. So it is 4.
To model this situation, we are going to use the exponential function:
where
is the initial number of cars
is the growing rate in decimal form
is number of tames the growing rate is increasing per year
is the time in years
To convert the growing rate to decimal form, we are going to divide the rate by 100%
Since the growing rate is increasing quarterly,
. We also know that the initial number of cars is 920, so
. Lets replace all those values in our function:
We can conclude that:
Rate ---------> The quarterly rate of growth is 0.03 or 3%
Exponent --------> The compound periods multiplied by the number of years is 4t
Coefficient--------> The initial number of cars serviced is 920
Base------> The growth factor is represented by 1.03