The answer is (5p+6q)(5p-6q)
Steps:
Apply difference of the squares rule: x^2-y^2=(x+y)(x-y)
25p^2-36q^2=(5p+6q)(5p-6q)
Hope this helps you! (:
-PsychoChicken4040
Answer:
Jaya can afford to rent a car 4 days while staying within her budget.
Step-by-step explanation:
The inequality would have to indicate that the cost of renting a car has to be less than or equal to $230. The cost to rent a car is equal to the cost per day for the number of days plus the price per mile for the number of miles, which is:
53.75x+0.12y≤230, where:
x is the number of days the car is rented
y is the number of miles driven
As the statement says that she plans to drive 125 miles, you can replace "y" with this value and solve for x:
53.75x+0.12(125)≤230
53.75x+15≤230
53.75x≤230-15
53.75x≤215
x≤215/53.75
x≤4
According to this, the answer is that Jaya can afford to rent a car 4 days while staying within her budget.
Answer:
5/7
Step-by-step explanation:
Answer:
1. 1.632*10^7
2. 6.6248*10^-3
Step-by-step explanation:
The question is an illustration of composite functions.
- Functions c(n) and h(n) are
and 
- The composite function c(n(h)) is
- The value of c(n(100)) is
- The interpretation is: <em>"the cost of working for 100 hours is $130000"</em>
The given parameters are:
- $5000 in fixed costs plus an additional $250
- 5 systems in one hour of production
<u>(a) Functions c(n) and n(h)</u>
Let the number of system be n, and h be the number of hours
So, the cost function (c(n)) is:
This gives
The function for number of systems is:
<u>(b) Function c(n(h))</u>
In (a), we have:
Substitute n(h) for n in
Substitute
<u>(c) Find c(n(100))</u>
c(n(100)) means that h = 100.
So, we have:
<u>(d) Interpret (c)</u>
In (c), we have:
It means that:
The cost of working for 100 hours is $130000
Read more about composite functions at:
brainly.com/question/10830110
