Can someone please answer step by step?

Mathematics

1 answer:

alukav5142 [94]3 years ago

3 0

Answer:

George is correct

Step-by-step explanation:

if the jacket is in sales for 20% off, Jane's coupon would give her a discount of 10% on top of the already discounted 20%.

Jane is incorrect because, if she added the 2 discount together, she gets a total of 30%, but that is a 30% discount of the original price of $75 which isn't correct. what we want to do is find how much the jacket cost after 20% discount THEN use the coupon to get a further 10% discount on the sales price of the jacket. and for this reason, George is correct.

hope this helped

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(x^2+x-17)/(x-4) solve this

sergij07 [2.7K]

Answer:

$\displaystyle x + 5 + \frac{3}{x - 4}$

Step-by-step explanation:

Since the divisor of $\displaystyle x - 4$ is in the form of $\displaystyle x - c,$ we use what is called Synthetic Division. Now, in this formula, −c gives the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 1 1 −17

↓ 4 20

_________

1 5 3 → $\displaystyle x + 5 + \frac{3}{x - 4}$

You start by placing the c in the top left corner, then list all the coefficients of your dividend [x² + x - 17]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x, the 5 follows right behind it, and bringing up the rear, $\displaystyle \frac{3}{x - 4},$ giving you the quotient of $\displaystyle x + 5 + \frac{3}{x - 4}.$ However, in this case, since you have a remainder of 3, this gets set over the divisor.