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2 years ago

I need help pleaseeeee Prove that: 12^13–12^12+12^11 is divisible by 7 and 19. BTW in format ______719 :D

Mathematics

1 answer:

iragen [17]2 years ago

3 0

Each term has a common divisor of $12^{11}$ :

$12^{13}-12^{12}+12^{11}=12^{11}(12^2-12+1)=12^{11}\cdot133$

133 = 7*19, so the number in the blanks is $12^{11}$ .

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Graph the linear function.<br> f(x)=x+2<br> HELP PLEASE

Serggg [28]

Hey there!

Graphing this will be similar to graphing slope intercept equations (y=mx+b).

As you can see, we have a slope of 1 and a y-intercept of two when you look at the equation and match it up with the slope intercept form Let's look at each answer option and see which one fits.

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GRAPH A

Graph A does have a y-intercept of two. This means that the line crosses the y-axis at two units up from the origin. However, it has a negative slope because it is going downwards rather than upwards. The slope of our function is positive, so Graph A does not match.

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GRAPH B

Graph B does have a positive slope of one (a slope of one means that it goes diagonally across every small square on the grid), but it's y-intercept is -2 because it hits the y-axis at 2 down from the origin. Therefore, Graph B does not match this function.

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GRAPH C

Graph C both goes downward (negative slope) and it hits the y-axis at -2 instead of 2 (wrong y-intercept). Therefore, Graph C does not match the function.

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GRAPH D

Graph D has a y-intercept of 2 and it has a positive slope of one! Therefore, Graph D does match this function.

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The correct answer is Graph D.

I hope that this helps! Have a wonderful day!

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2 years ago

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Sally had 1000 photos to put into a photo album.She set 10 photos aside to place in frames.If her photo album fits 3 photos per

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Answer:

Sally needed 330 pages of album to place her photos in it.

Step-by-step explanation:

Given:

Total number of photos = 1000

Number of photos kept aside to be place in frame = 10

Number of photos in per page of album = 3

We need to find the number of pages needed to place the photos in album.

Solution:

First we will find the number of photos to be place in album.

Now we know that she kept aside some photos which has to be frame framed.

So number of photos to be place in album can be calculated by Subtracting Number of photos kept aside to be place in frame from Total number of photos

framing in equation form we get;

number of photos to be place in album = 1000 - 10 = 990 photos

Now we will find number of pages needed to place the photos in the album.

number of pages needed to place the photos in the album can be calculated by dividing number of photos to be place in album with number of photos in per page of album.

framing in equation form we get;

number of pages needed to place the photos in the album = $\frac{990}{3}= 330\ pages.$

Hence Sally needed 330 pages of album to place her photos in it.

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I need help pleaseeeee Prove that: 12^13–12^12+12^11 is divisible by 7 and 19. BTW in format ______*7*19 :D

I need help pleaseeeee Prove that: 12^13–12^12+12^11 is divisible by 7 and 19. BTW in format ______719 :D