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3 years ago

What is 1.833333 repeating as a fraction?

Mathematics

1 answer:

Andrew [12]3 years ago

8 0

1833/1000 as a top heavy fraction as a mixed fraction it is 1 833/1000

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What is the value of z?

babymother [125]

Answer:

Step-by-step explanation:

Item 1:

Discount = Original price - discount price

= 22.50 - 13.50

= $ 9

Discount percentage = $\frac{9}{22.50}*100\\\\$

= 40%

Discount percentage = 40%

Tax = 14.31 - 13.50 = $0.81

Tax% = $\frac{0.81}{13.50}*100\\\\$ = 6%

Tax percentage = 6%

Item 2:

Tax = 6% of 16.20

= 0.06 * 16.20

= 0.972

Tax = $ 0.97

Total price (including tax )= 16.20 + 0.97 = $ 17.17

x = $ 17.17

Item 3:

Discount = 40% of 32.50

= 0.4 * 32.50

= $ 13

y = 32.50 -13

y = $ 19. 50

Tax = 6% of 19.50

= 0.06 * 19.50

= 1.17

z = 1.17 + 19.50

Z =$ 20.67

5 0

3 years ago

Factor completely x^8- 16.

Nataly_w [17]

Answer:

Step-by-step explanation:

So in this example we'll be using the difference of squares which essentially states that: $(a-b)(a+b)=a^2-b^2$ or another way to think of it would be: $a-b=(\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b})$ . So in this example you'll notice both terms are perfect squares. in fact x^n is a perfect square as long as n is even. This is because if it's even it can be split into two groups evenly for example, in this case we have x^8. so the square root is x^4 because you can split this up into (x * x * x * x) * (x * x * x * x) = x^8. Two groups with equal value multiplying to get x^8, that's what the square root is. So using these we can rewrite the equation as:

$x^8-16 = (x^4-4)(x^4+4)$

Now in this case you'll notice the degree is still even (it's 4) and the 4 is also a perfect square, and it's a difference of squares in one of the factors, so it can further be rewritten:

$x^4-4 = (x^2-2)(x^2+2)$

So completely factored form is: $(x^2-2)(x^2+4)(x^4+4)$

I'm assuming that's considered completely factored but you can technically factor it further. While the identity difference of squares technically only applies to difference of squares, it can also be used on the sum of squares, but you need to use imaginary numbers. Because $x^2+4 = x^2-(-4)$ . and in this case a=x^2 and b=-4. So rewriting it as the difference of squares becomes: $x^4+4 = x^4 - (-4) = (x^2-\sqrt{-4})(x^2+\sqrt{-4}) = (x^2-2i)(x^2+2i)$ just something that might be useful in some cases.