2 years ago

Write “252 miles per 8 gallons” as a rate in simplest form.

1 answer:

3 0

Okay so since we have to put 252 miles per 8 gallons into the simplest form I'm going to say that we divide 252/8=31.5 so we should have 31.5 miles per gallon as our answer

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Which expression is equivalent to 2/3(6x+3)

irina1246 [14]

2/3(6x+3)
2/3 x 3(2x+1)
2(2x+1)
4x+2
Therefore your answer is 4x+2

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zavuch27 [327]

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rusak2 [61]

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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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2 years ago