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3 years ago

Please help me with this math problem, please

Mathematics

1 answer:

balu736 [363]3 years ago

4 0

Answer: y=-5/2x+13

Step-by-step explanation:

Since we are given the slope, we can plug it into our equation and use the point given to find the y-intercept.

y=mx+b

y=-5/2x+b

-2=-5/2(6)+b

-2=-15+b

b=13

Now that we know the y-intercept, we can complete the equation.

y=-5/2x+13

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The graph of the parent function f(x) = x3 is transformed such that g(x) = f(–2x). How does the graph of g(x) compare to the gra

Anni [7]

Answer:

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We want to see how the transformed graph compares with the parent graph.

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The correct answer is B.

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It takes 3 hours to paddle a kayak 12 miles downstream and 4 hours for the return trip upstream. Find the rate of the kayak in s

Furkat [3]

The rate of the kayak in still water is 3.5 mph

<h3>Solution:</h3>

Given that It takes 3 hours to paddle a kayak 12 miles downstream

Distance covered in downstream = 12 miles

Time taken to cover downstream = 3 hours

Also given that it takes 4 hours for the return trip upstream

Distance covered in upstream = 12 miles

Time taken to cover upstream = 4 hours

Formula to remember:

If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then: Speed downstream = (u + v) km/hr and Speed upstream = (u - v) km/hr

Let the speed of Kayak in still water = x mph

And The speed of current = y mph

For downstream:

Speed downstream = x + y

We know that $speed = \frac{distance}{time}$

$\frac{distance}{time} = x + y$

$x + y = \frac{12}{3}$

x + y = 4 ------ eqn 1

For upstream:

Speed upstream = x - y

$\frac{12}{4} = x - y$

x - y = 3 -------- eqn 2

Now let us eqn 1 and eqn 2

Add eqn 1 and eqn 2

x + y + x - y = 4 + 3

2x = 7

x = 3.5

speed of Kayak in still water = x mph = 3.5 mph

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