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3 years ago

In how many ways 4 books can be chosen from 8 different books and be arranged in 4 spaces on a bookshelf?

Mathematics

1 answer:

Trava [24]3 years ago

5 0

Answer:

hope this helps

Step-by-step explanation:

3*2 * 1 = 24 ways . It is called arrangement or permutations, while if you need to group some objects it is called combination and there we need to consider unique groups only.

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Harley bought some fabric for $3.50 per yard. If she bought 3 yards, how much did the fabric cost

Verizon [17]

$3.50 X 3 yards = $10.5

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3 years ago

If you have 100$ and then lose 25$ ,what is the percent change

Keith_Richards [23]

Answer:

75 %

Step-by-step explanation:

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3 years ago

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2 years ago

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X/7- y/5=1 solve for y

Usimov [2.4K]

Answer:

y = 5/7 x -5

Step-by-step explanation:

X/7- y/5=1

Multiply each side by 35 to clear the fractions

35(X/7- y/5) =1*35

5x - 7y = 35

Subtract 5x from each side

5x-5x-7y = -5x+35

-7y = -5x+35

Divide each side by -7

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4 0

3 years ago

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Use f’( x ) = lim With h ---> 0 [f( x + h ) - f ( x )]/h to find the derivative at x for the given function. 5-x²

beks73 [17]

<h2>Answer:</h2>

The derivative of the function f(x) is:

$f'(x)=-2x$

<h2>Step-by-step explanation:</h2>

We are given a function f(x) as:

$f(x)=5-x^2$

We have:

$f(x+h)=5-(x+h)^2\\\\i.e.\\\\f(x+h)=5-(x^2+h^2+2xh)$

( Since,

$(a+b)^2=a^2+b^2+2ab$ )

Hence, we get:

$f(x+h)=5-x^2-h^2-2xh$

Also, by using the definition of f'(x) i.e.

$f'(x)= \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}$

Hence, on putting the value in the formula:

$f'(x)= \lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-(5-x^2)}{h}\\\\\\f'(x)=\lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-5+x^2}{h}\\\\i.e.\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2-2xh}{h}\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2}{h}+\dfrac{-2xh}{h}\\\\f'(x)=\lim_{h \to 0} -h-2x\\\\i.e.\ on\ putting\ the\ limit\ we\ obtain:\\\\f'(x)=-2x$

Hence, the derivative of the function f(x) is:

$f'(x)=-2x$

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3 years ago

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In how many ways 4 books can be chosen from 8 different books and be arranged in 4 spaces on a bookshelf? ​

In how many ways 4 books can be chosen from 8 different books and be arranged in 4 spaces on a bookshelf?