Answer:
It will take the police car 3.5 hours to travel a distance of 175 miles traveling at a rate of 50 miles/hour.
Step-by-step explanation:
If a car is traveling at a constant speed of 50 miles/hour and we wish to know how long it will take it to travel a distance of 175 miles, we will use this formula
d = r*t
Where d is the distance traveled in miles
r is the rate of speed in miles/ hour, and
t is the time in hours
d in this case is 175 miles and r is 50 miles/hour, plugging this in, we have
175 miles = (50 miles/hour) * t Divide both sides by 50 miles/hour
Our miles unit will cancel out, leaving us with
3.5 hours = t
Answer:
Step-by-step explanation:
As the statement is ‘‘if and only if’’ we need to prove two implications
is surjective implies there exists a function 
such that 
.- If there exists a function such that , then is surjective
Let us start by the first implication.
Our hypothesis is that the function is surjective. From this we know that for every 
there exist, at least, one 
such that 
.
Now, define the sets 
. Notice that the set 
is the pre-image of the element 
. Also, from the fact that 
is a function we deduce that 
, and because the sets are no empty.
From each set choose only one element 
, and notice that 
.
So, we can define the function 
as 
. It is no difficult to conclude that 
. With this we have that 
, and the prove is complete.
Now, let us prove the second implication.
We have that there exists a function such that .
Take an element , then 
. Now, write 
and notice that . Also, with this we have that 
.
So, for every element we have found that an element (recall that ) such that , which is equivalent to the fact that is surjective. Therefore, the prove is complete.
The equation that models the total cost is y = 100 + 22.5m
Step-by-step explanation:
Fitness member ship cost = $100
Monthly fee = $25
Discount = 10% on monthly fee
To calculate new monthly fee after discount,
25 - (25*10%) --> 25 - 2.5 --> $22.5
Number of months = m
Fee in m months = 22.5*m = 22.5m
<u>Equation:</u>
(c) is constant which is the membership fee
(x) is the monthly fee $22.5
(m) is the number of months
(y) is the total cost
So,
y = mx + c
y = m(22.5) + 100
y = 100 + 22.5m
Therefore, the equation that models the total cost is y = 100 + 22.5m
Keyword: Equation
Learn more about equations at
#LearnwithBrainly
Answer:
y = -x + 10
Step-by-step explanation:
find the slope (-1) and y intercept (10)
<em><u>Hope this helped! Have a nice day! Plz mark as brainliest!!!</u></em>
<em><u>-XxDeathshotxX</u></em>
Answer:
the answer is D, because 30/2 is 15.
