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2 years ago

Which of expressions illustrates the associative property?

Mathematics

1 answer:

nekit [7.7K]2 years ago

6 0

Answer:

c) a ( b + c ) = (a + b ) + c

Step-by-step explanation:

The associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs.

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Solution to this inequality? <br> 3(5+2n) > 7 +10n<br> Please show work , Thank you

vodka [1.7K]

$3(5+2n) \ \textgreater \ 7 +10n \\ \\ 15 + 6n \ \textgreater \ 7 + 10n \\ \\ 15 \ \textgreater \ 7 + 10n - 6n \\ \\ 15 \ \textgreater \ 7 + 4n \\ \\ 15 - 7 \ \textgreater \ 4n \\ \\ 8 \ \textgreater \ 4n \\ \\ \frac{8}{4} \ \textgreater \ n \\ \\ 2 \ \textgreater \ n \\ \\ n \ \textless \ 2 \\ \\$

The final result is: n < 2.

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Can someone check this for me?

Tresset [83]

Inside the square root shouldn't be negative, so x must be negative in order to form positive number inside the root.

if x = 0, y = 0
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if y = -4, y = -2
if y = -9, y = -3

the points lie on the graph (0,0), (-1,-1), (-4,-2), (-9,-3)

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2 years ago

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1. What is the arithmetic mean of the numbers 14,16,18,5,17 ?

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Number 2 is 20 number 3 is 11

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3 years ago

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A manufacturer of bicycles has determined that 550 bikes per month will be sold at a price of $250. At a price of $150, it is es

iogann1982 [59]

750 bikes would be sold for $350

Let x represent the number of bikes sold per month and y represent the price.

550 bikes are sold at a price of $250, this can be represented by (550, 250). Also, 750 bikes is sold at a price of $150, hence it is represented by (750, 150)

A linear function is represented by:

y = mx + b

m is the slope, b is the y intercept.

Therefore the function is:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-250=\frac{150-250}{750-550} (x-550)\\\\y=\frac{1}{2}x-25$

The number of bikes sold for $350 is:

350 = (1/2)x - 25

x = 750

Therefore 750 bikes would be sold for $350

Find out more at: brainly.com/question/13911928

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2 years ago