Answer:
c = 15d + 30
Step-by-step explanation:
Hey there!
This can be represented by an equation of a line, where the number of days is our x-values(d), and the price is our y-values(c).
The price for one day ($45) and the price for 4 days($90) are specific points on that line.
The points are (1, 45) and (4, 90).
We can first find the slope of the line:
- As the price rises 45, the days increase by 3
- Slope = rise/run
- Slope = 45/3
- Slope = 15
Now we can find the base price, by plugging the slope and a point into the equation y = mx + b.
Solve for b:
- y = mx + b
- 45 = 15(1) + b
- 45 = 15 + b
- 30 = b
The base price (b) is 30.
The equation is 
Answer:
The quotient contains a terminating decimal and The quotient is a whole number less than 11.
Step-by-step explanation:
To answer this one, it's mandatory to remember that quotient, is the outcome of a ratio: a number (r) over another (s) (different than 0). In this case:
. So q is equal to =0.08823529411.
Analyzing the number: 0.08823529411
This is not a repeating decimal, but it is a terminating decimal for it has an end.
The quotient is also a whole number less than 11.
The Whole Set of numbers is made up of the following numbers W ={0,1,2,...} and 0 < 11. Therefore it is true.
(a) The differential equation is separable, so we separate the variables and integrate:
When x = 0, we have y = 2, so we solve for the constant C :
Then the particular solution to the DE is
We can go on to solve explicitly for y in terms of x :
(b) The curves y = x² and y = 2x - x² intersect for
and the bounded region is the set
The area of this region is
The increase of the cost:
$56.00 - $48.00 = $8.00
The increase percentage:
(8÷48)*100=16.7%
Answer:
-8
Step-by-step explanation:
Since x = -18, we use the top formula
f(-18) = (x-6)/3
= (-18-6)/3
= -24/3
= -8
