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tiny-mole [99]
2 years ago
8

Evaluate each expression when x=2, y=-5 and z=3 xy-z

Mathematics
1 answer:
gulaghasi [49]2 years ago
8 0

when x=2, y=-5 and z=3

xy-z


2(-5)-3

-10-3

-13

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Emilie rides her bike x miles before she gets a flat tire. She walks 1/3mile to a bus stop and then takes a bus for 2 1/2miles.
ICE Princess25 [194]

Given :

Emilie rides her bike x miles before she gets a flat tire.

She walks 1/3 mile to a bus stop and then takes a bus for 2 1/2 miles.

To Find :

Which expression shows how many miles Emilie travels in all.

Solution :

We know, total distance covered is given by sum of all the distance she travelled.

Distance covered, D = x + 1/3 + 2 1/2

D = x + 1/3 + 5/2

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Answer: 2x^2+3x-2

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You can do long division, which is very very hard to show with typing on a keyboard. You essentially want to divide the leading coefficient for each term. Ill try my best to explain it.

Do \frac{2x^3}{x}=2x^2. Write 2x^2 down. Now multiply (x - 3) by it. Then subtract it from the trinomial.

2x^2*(x-3)=2x^3 -6x^2\\(2x^3 -3x^2-11x+6)-(2x^3-6x^2) = 3x^2-11x+6

Now do \frac{3x^2}{x} =3x. Write that down next to your 2x^2. Multiply 3x by (x - 3) to get:

3x(x-3)=3x^2-9x\\(3x^2-11x+6)-(3x^2-9x)=-2x+6

Your final step is to do \frac{-2x}{x} =-2. Write this -2 next to your other two parts

Multiply -2 by (x - 3) to get:

-2(x-3)=-2x+6\\(-2x+6)-(-2x+6)=0

Our remainder is 0 so that means (x - 3) goes into that trinomial exactly:

2x^2+3x-2 times

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katen-ka-za [31]

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oh, come one ! you can literally see that one ...

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