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liberstina [14]
3 years ago
5

F(b)-f(a)

Mathematics
1 answer:
garik1379 [7]3 years ago
4 0

Answer:

i'm not understanding. can you please explain how i can help?

Step-by-step explanation:

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A fisherman traveled in a boat from point N upstream. After having traveled 6 km, he stopped rowing and 2 hour 40 min after firs
Nat2105 [25]

Answer:

The speed of the river's current is 4.5 km/hr.

Step-by-step explanation:

Given : A fisherman traveled in a boat from point N upstream.

After having traveled 6 km, he stopped rowing and 2 hour 40 min after first leaving N, he was brought back to N by the current.

Knowing that the speed of the boat in still water is 9 km/hour

To find : The speed of the river’s current.

Solution :

Let the speed of current  = x km/h

Speed of boat = 9 km/h

Thus, the speed in upstream = (9 - x) km/h

Also, the speed in downstream = x km/h (because the boat is stationary in downstream)

Total distance = 6 km ( from N to the point he reached )

Total time = 2 hours 40 minutes

\text{2 hours 40 minutes}=2\frac{40}{60}=2 \frac{2}{3} \\\\\text{2 hours 40 minutes}=\frac{8}{3} \text{ hours}

We know, \text{Time} = \frac{\text{Distance}}{\text{Speed}}

According to the question,

\frac{6}{9-x}+\frac{6}{x}=\frac{8}{3}

Taking LCM and 6 common

6[\frac{x+9-x}{(9-x)x}]=\frac{8}{3}

Take 6 to another side,

\frac{9}{9x-x^2}=\frac{8}{3\times 6}

Cross multiply,

9\times 18=8\times(9x-x^2)

162=72x-8x^2

Taking 4 common and cancel out

4x^2-36x+81=0

Solve quadratic equation by middle term split,

4x^2-18x-18x+81=0

2x(2x-9)-9(2x-9)=0

(2x-9)(2x-9)=0

\Rightarrow 2x-9=0

\Rightarrow x=\frac{9}{2}=4.5

Therefore, The speed of the river's current is 4.5 km/hr.

6 0
3 years ago
Linda has a shelf that is 56 over 5 inches wide. how many catalogs can linda arrange on the shelf if each catalog is 4 over 5 of
Ierofanga [76]
First point to be noted here is, the shelf and the book are 5 inches wide. So it is perfect to hold the book.

The shelf is 56 inches tall and the book is 4 inches thick. To find the number of books Linda can arrange on the shelf, just divide 56 by 4

Number of books Linda can arrange on the shelf = 56 ÷ 4 = 14 books
5 0
3 years ago
Read 2 more answers
For two functions, a(x) and b(x), a statement is made that a(x) = b(x) at x = 2. What is definitely true about x = 2? (2 points)
Irina-Kira [14]

The statement that is definitely true about x = 2 is Both a(x) and b(x) have the same output value at x = 2.

<h3>How to find the statement that is true about the functions a(x) = b(x) at x = 2?</h3>

If we have two functions a(x) and b(x), a statement is made that a(x) = b(x) at x = a, this implies that the values of the functions a(x) and b(x) are equal at x = a.

  • Given that the two functions a(x) and b(x), a statement is made that a(x) = b(x) at x = 2.

Then the statement that is definitely true about x = 2 is Both a(x) and b(x) have the same output value at x = 2.

So, the statement that is definitely true about x = 2 is Both a(x) and b(x) have the same output value at x = 2.

Learn more about functions here:

brainly.com/question/10439235

#SPJ1

8 0
2 years ago
Write 26 3/4 as a decimal number
siniylev [52]

Answer:

26 3/4 as a decimal would be 26.75

3 0
3 years ago
Read 2 more answers
A soccer league has 180 players. Of those players 50% are boys. How many boys are in the soccer league?
yarga [219]

Answer:

90 boys

Step-by-step explanation:

There are 180 players

Multiply by the percent that are boys to find the number of boys

180 * 50%

180 * .50

90

6 0
3 years ago
Read 2 more answers
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