Answer:
The speed of the jet is 347 mph and the speed of the wind is 18 mph.
Step-by-step explanation:
We have the following:
x = the speed of the jet in still air.
y = the speed of the wind
we know that the speed is equal to:
v = d / t
therefore the distance would be:
d = v * t
if we replace with the information of the exercise we have:
3 * (x + y) = 1095
3 * (x - y) = 987
we must solve this system of equations, add both equations and we are left:
3 * x + 3 * y = 1095
3 * x - 3 * y = 987
3 * x + 3 * y + 3 * x - 3 * y = 1095 + 987
6 * x = 2082
x = 2082/6 = 347
now to calculate y, we replace:
3 * (347 + y) = 1095
1041 + 3 * y = 1095
3 * y = 1095 - 1041
y = 54/3 = 18
The speed of the jet is 347 mph and the speed of the wind is 18 mph.
This is right!!!
Question asker, by any chance do you go to RSM?
I think it is 128 inches?????
Answer:
1. 24
2. 
where n denotes number of days.
3. 70
Step-by-step explanation:
1.
Consider the sequence: 
Here,
Take the common difference as d = 2 and the first term as a = 12
Use the formula: 
To find expected gain at the end of the week, find 
2.
Yes, the gain shows the pattern.
Put 
in
Here, n denotes number of days.
3.
To find expected gain at the end of 30 days, put 
in 
Answer: x + 8 must be the factor of the given polynomial p(x).
Step-by-step explanation:
Here, p(x) is a polynomial in which p(-8) =0
By the reminder theorem,
When a polynomial, f(x), is divided by a linear polynomial , x - a, the remainder of that division will be equivalent to f(a).
That is when we divide p(x) by x+8 the reminder is p(-8)
⇒ when we divide p(x) by x+8 the reminder is 0.
Therefore, x+8 is a factor of p(x).
