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Kruka [31]
3 years ago
6

A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 15

​mph, find the speed of the plane in still air.
Mathematics
1 answer:
prisoha [69]3 years ago
4 0

Answer:

<em>161</em><em> </em><em>speed</em><em> </em><em>of</em><em> </em><em>plain</em><em> </em><em>in</em><em> </em><em>still</em><em> </em><em>air</em><em> </em>

Mark in brainlist

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Janet invested $10,000, part at 2% and part at 12%. if the total interest at the end of the year is $600, how much did she inves
Ivan

Janet invested $6000 at 2 %.

Let <em>x</em> = amount invested at 2 %. Then 10 000 - <em>x</em> = amount invested at 12 %

interest at 2 % + interest at 12 % = 600

0.02<em>x</em> + 0.12(10 000 –<em> x</em>) = 600

0.02<em>x</em> + 1200 – 0.12<em>x</em> = 600

0.10<em>x</em> = 600

x = 600/0.10 = 6000

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3 years ago
Find the inverse of the function. f(x) = 7x + 8
lana66690 [7]

Answer:

\frac{x-8}{7}

Step-by-step explanation:

A way to find the inverse function is to swap the x and y (f(x)) in the equation.

y = 7x + 8\\x = 7y + 8\\x-8 = 7y\\y = \frac{x-8}{7}

We can check that it is an inverse function by using a property of inverse functions:

f(g(x)) = x

If we plug in the f(x) function into the variable x of the inverse function, we should end up with x

y = \frac{(7x + 8) - 8}{7}\\y = \frac{7x}{7} \\y = x\\

It checks out!

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Step-by-step explanation:

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lisov135 [29]

Answer:

-17.3

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