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4 years ago

This one is very hard thank you

Mathematics

1 answer:

makvit [3.9K]4 years ago

3 0

check the picture below.

if we run a vertical line test on that graph, like you see there, namely run vertical lines through it, we can see that one vertical line only hits the graph once, not twice or more.

on the vertical line test, if the graph is hit only once by each of the vertical lines, then the graph is a function.

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Prove that 17^16+17^14 is divisible by 5

fredd [130]

We'll use the exponent rule that a^(b+c) = a^b*a^c

to break up 17^16 into 17^(14+2) = 17^14*17^2

That allows us to factor like so

17^16+17^14

17^14*17^2+17^14*1

17^14(17^2 + 1)

Computing 17^14 is a lot more difficult compared to computing 17^2 + 1, assuming you only could use paper and pencil.

Note that 17^2 = 17*17 = 289, so 17^2 + 1 = 289+1 = 290

Because 290 ends in a 0, this means that 5 is a factor

290 = 5*58

This makes 5 to be a factor of the original expression.

----------------

So overall,

17^16+17^14 = 17^14(17^2 + 1) = 17^14*290 = 17^14*5*58 = 5*17^14*58

The stuff "17^14*58" doesn't matter. All we care about is that factor of 5.

Since 5 is a factor, this means that 17^16+17^14 is a multiple of 5, or 17^16+17^14 is divisible by 5.

Phrased another way, 17^16+17^14 all divided over 5 leads to some integer. In this case, the integer would be the result of 17^14*58.

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3 years ago

Explain how a bar model can be used to show a subtraction problem

DanielleElmas [232]

5 is the answer thanks
for question and answers

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4 years ago

Read 2 more answers

Will give brainlst <br> Have a nice day

navik [9.2K]

Step-by-step explanat f....k u blablablaaaaaaaaaaaaaasaasaassaa

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3 years ago

Solve 3(x - 4) = 11x

Ivanshal [37]

Answer:

$x = \frac{-3}{2}$

Step-by-step explanation:

3(x - 4) = 11x

Expand the brackets:

3x - 12 = 11x

Subtract 3x from both sides to isolate the -12:

3x - 12 = 11x

3x - 3x - 12 = 11x - 3x

-12 = 8x

8x = -12

Divide both sides by 8:

$\\\frac{8x}{8} = \frac{-12}{8}\\x = \frac{-12}{8}\\$

Simplify fraction:

$x = \frac{-12}{8}$

$x = \frac{-12 \div 4}{8 \div 4}\\x = \frac{-3}{2}$

Hope this helps!

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3 years ago

Less than 5/6 with a denomintor

vichka [17]

It would be around 2/3

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4 years ago