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3 years ago

Pencils are sold in packages of 5. Explain why you need 6 packages in order to have enough for 27 students

Mathematics

2 answers:

ANTONII [103]3 years ago

6 0

You need 6 boxes because other wise some kids would not get the item inside

Free_Kalibri [48]3 years ago

4 0

5 packets of pencils would only be enough for 25 students because 5×5=25 so to get enough for the remaining 2 students you need to buy an extra packet thus buying 6 packets to be enough for 27 students

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bija089 [108]

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8 0

4 years ago

Complete the square than convert to vertex form. y=2x^2+8x-9

8_murik_8 [283]

$y=2x^2+8x-9\\D=b^2-4ac\\D=64-4(2)(-9)\\D=64+72 > 0$

There are 2 roots so the only way to complete the square is,

$y=2x^2+8x-9\\y=2[(x^2+4x)]-9\\y=2[(x^2+4x+4)-4]-9\\y=2[(x+2)^2-4]-9\\y=2(x+2)^2-8-9\\y=2(x+2)^2-17$

Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.

then complete the square and multiply 2 inside the brackets.

subtraction as you already get the vertex form and know how to complete the square.

Vertex Form: $y=2(x+2)^2-17$

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3 years ago