Answer:
Let the speed of the train be x km/h.
Case 1:
Distance = 288 km
Speed = x km/h
Time = Distance/Speed
= 288/x h
Case 2:
Distance = 288 km
Speed = (x+4) km/h
Time = 288/x + 4 h
Since 288/x > 288/x + 4
288/x - 288/x+4 = 1
288[1/x - 1/x+4 ] = 1
[ x + 4 - x / x(x + 4) ] = 1/288
[4 / x^2 + 4x ] = 1/288
x^2 + 4x = 1152
x^2 + 4x - 1152 = 0
x^2 + 36x - 32x - 1152 = 0
x(x + 36) - 32(x + 36) = 0
(x + 36)(x - 32) = 0
x + 36 = 0 , x - 32 = 0
x = -36 , x = 32
x = -36 , rejected since speed cannot be negative.
Therefore , speed of the train = 32 km/h
Hi!
a: <em>F </em><em>n </em><em>G </em>=(Intersection) {4,6,8,10}
b: <em>F </em><em>n </em><em>H </em>={empty set}
Because there is no common element between the elements of set F and the elements of set H.
Note: It may not be very clear as I don't speak English.
God work!
Hi there!
Everything looks correct except for the step to get to -6x < 36. Here you put multiplication property of order, and to get here you have to add 30 to both sides, so it would actually be the addition property of order.
I hope I helped!
The first step for solving this expression is to write the division as a fraction.
x +

× x
Calculate the product.

Remember that if a term doesn't have an exponent,, it is considered that the exponent for that term is 1. This changes the expression to the following:

Now multiply the terms with the same base by adding their exponents.

Finally,, add the numbers together to get your final answer.
x +

Let me know if you have any further questions.
:)
Answer:
Mode: 44 (mode is biggest number)
Mean: 30 (the average between numbers)
Step-by-step explanation:
Calculating the Mean
44 + 43 = 87
25 + 8 = 33
87 + 33 = 120
120 + 30 = 150
150/5 = 30