An electronics store has a clearance sale
whereby everything in store is marked down
by 20% of the original price. Jay buys a
Bluetooth speaker with an original price of
R950.00. When he gets to the till, the cashier
lets him know that the speaker is marked
down a further 8% on the reduced price.
i. How much will Jay pay for the speaker?
ii. What is the final discount percentage Jay
gets off the original price?​

Answer:

i. R699. 2

ii. 26.4%

Step-by-step explanation:

Given the following data;

First discount (on original price) = 20%

Second discount (on reduced price) = 8%

Original price = R950.00

*To find how much Jay will pay*

First discount;

[tex] Discount = \frac {20}{100} * 950[/tex]

[tex] Discount = 0.2 * 950[/tex]

Discount = R190.00

Reduced price = 950 - 190

Reduced price = R760.00

Second discount;

[tex] Discount = \frac {8}{100} * 760[/tex]

[tex] Discount = 0.08 * 760[/tex]

Discount = R60.8

Selling price = 760 - 60.8

Selling price = R699.2

Therefore, Jay will pay R699.2 for the speaker.

ii. To find the final discount percentage;

[tex] Percent \; discount = \frac {original \;price - selling \; price}{original price} * 100[/tex]

Substituting into the equation, we have;

[tex] Percent \; discount = \frac {950 - 699.2}{950} * 100[/tex]

[tex] Percent \; discount = \frac {250.8}{950} * 100[/tex]

[tex] Percent \; discount = 0.264* 100[/tex]

Percent discount = 26.4%

Therefore, the final discount percentage Jay gets off the original price is 26.4%.

a) Show that x² - 8x + 20 can be written in the form (x - a)² + a where a is an integer.
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I have worked out the first bit of the question and the answer is:
x²-8x+20
x²-8x+16-16+20
(x-4)²+4
(x-a)²+a
a= 4

I just need help with part b and I'm struggling to do it. Please help.

PLZ HURRY IT'S URGENT!!!
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