Answer:
The expression that represents his total time is given by "t = 7.5/s" where s is his speed against the wind.
Step-by-step explanation:
In order to solve this problem we will assign a variable to Curtis speed on the first leg of the trip, this will be called "s". Since the speed on the first part is "s" and the speed on the second part is 20% higher, then the speed on the second part is "1.2s". Each leg of the course is 9 miles long, therefore the time it took to go each way is given by:
time = distance/speed
First part:
t1 = 9/s
Second part:
t2 = 9/1.2s = 7.5/s
The expression for the whole course is the sum of each, so we have:
t = t1 + t2
t = 9/s + 7.5/s
t = (9 + 7.5)/s = (16.5)/s
Part A:
Price before tax: $49.99
Discount: 50% of $49.99 = 50% * $49.99 = 0.50 * $49.99 = $25.00
Discounted price: $49.99 - $25.00 = $24.99
Tax on discounted price: 8% of $24.99 = 8% * $24.99 = 0.08 * $24.99 = $2.00
Part B:
Total price: $24.99 + $2.00 = $26.99
Answer:
x = 8 is a solution for the equation
Answer:
See below for answers and explanations (along with a graph)
Step-by-step explanation:
<u>Part A</u>
Set f(x)=0 and factor the expression by grouping:
Use the Zero Product Property to find the x-intercepts:
Hence, the x-intercepts for the graph of f(x) are 
and 
.
<u>Part B</u>
Find the x-coordinate of the vertex:
Find the y-coordinate of the vertex:
Hence, the vertex is 
. We can see from the positive leading coefficient of the function that the vertex will be a minimum because the parabola will open faced-up.
<u>Part C</u>
You can use the x-intercepts and vertex to plot points of the graph of the function. Additionally, you can throw in the y-intercept in as well. The y-intercept, in this case, is 
, or 
as an ordered pair. See attached graph.
Answer:
4/5
Step-by-step explanation:
because if you can get a 5 every 1/6, then rolling anything else would be 5/6
