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professor190 [17]
3 years ago
8

Will mark brainliest!!! Two trains leave towns 663 kilometers apart at the same time and travel toward each other. One train tra

vels 19 km h slower than the other. If they meet in 3 hours, what is the rate of each train?
Mathematics
1 answer:
topjm [15]3 years ago
5 0

Answer: rate of train A = 120 km/h

rate of train B = 101 km/h

Step-by-step explanation:

Let x = the speed of train A

Let y = the speed of train B

One train travels 19 km/h slower than the other. Let train B be the slower train. Therefore,

x = y + 19 - - - - - - - - - -1

Recall

Speed = distance/time

Distance = speed × time

If they meet in 3 hours, it means that train A has travelled a distance of

x × 3 = 3x km

And train B has travelled a distance of y × 3 = 3y km

Train A and Train B were 663 kilometers apart when they left their respective destinations. They left at the same time and travelled towards each other. This means that if they meet in 3hours time, they must have covered a total of 663 km. Therefore,

3x + 3y = 663 - - - - - - - - - 2

Substituting x = y + 19 into equation 2, it becomes

3(y + 19) + 3y = 663

3y + 57 + 3y = 663

6y + 57 = 663

6y = 663 - 57 = 606

y = 606/6 = 101 km/h

x = y + 19 = 101 + 19

x = 120 km/h

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Consider the function.
worty [1.4K]

The statement f⁻¹(x) has a y-intercept of (0, –36) and f⁻¹(x) has a range of all real numbers options third and fifth are correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The question is: Consider the function f(x) = (-2/3)x - 24  Which conclusions can be drawn about f⁻¹(x) Select two options:

f⁻¹(x) has a slope of -2/3

f⁻¹(x) has a restricted domain.

f⁻¹(x) has a y-intercept of (0, –36).

f⁻¹(x) has an x-intercept of (–36, 0).

f⁻¹(x) has a range of all real numbers.

f(x) = (-2/3)x - 24

To find the inverse of a function:

interchange the x and y

x = (-2/3)y - 24

y = (-3/2)(x + 24)

y = (-3/2)x - 36

The slope of a function f⁻¹(x) is -3/2

From the graph, we can see the y-intercept is (0, -36) and the range will be all real numbers.

Thus, the statement f⁻¹(x) has a y-intercept of (0, –36) and f⁻¹(x) has a range of all real numbers options third and fifth are correct.

Learn more about the function here:

brainly.com/question/5245372

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Terms that have the same variables raised to the same powers are called ___ terms.
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