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3 years ago

The orderd pairs (1,25),(2,36),(3,49),(4,64), and (5,81) represent a function. What is a rule that represents this function?

Mathematics

1 answer:

guapka [62]3 years ago

3 0

Your answer is D.
Plug in the x value into the equation and ou will get your answer.
(1+4)^2 = 5^2 = 25
So on and so on

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Joel walked of a mile to the store, 1. of a mile to the library,

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Answer:

4 miles?

Step-by-step explanation:

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involving the election of officers on a committee. Assume that the committee consists of 14 members including Tasha. The same th

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Answer:

There are 364 ways of filling the offices.

Step-by-step explanation:

In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:

$C^{n} _{r}=\frac{n!}{(n-r)!r!}$

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r=3 number of offices

n!=n·(n-1)·(n-2)·...·3·2·1

$C^{14} _{3}=\frac{14!}{(14-3)!3!}=\frac{14*13*12*11*10*9*8*7*6*5*4*3*2*1}{(11*10*9*8*7*6*5*4*3*2*1)*(3*2*1)}=\frac{14*13*12}{3*2*1} =364$

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How do you factor 125-x^3?

xz_007 [3.2K]

Step-by-step explanation:

We have

$125 - x {}^{3}$

First, 125 is a perfect cube because

$5 \times 5 \times 5 = 125$

and

x^3 is a perfect cube because

$x \times x \times x = x {}^{3}$

so we can use the difference of cubes identity

$( {x}^{3} - {y}^{3} ) = (x - y)( {x}^{2} + xy + {y}^{2} )$

Let say we have two perfect cubes:

64 because 8×8×8=64

and 27 because 3×3×3=27 and let subtract

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we know that

$64 - 27 = 37$

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$(4 - 3)( {4}^{2} + 4(3) + 3 {}^{2} )$

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So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.

Back on to the topic,

we know that 5 is cube root of 125 and x is the cube root of x^3 so we have

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$(5 - x)(25 + 5x + {x}^{2} )$

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