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snow_tiger [21]
3 years ago
13

Topic 13 Online Assessment

Mathematics
1 answer:
telo118 [61]3 years ago
3 0

Answer:

Tomas is incorrect.

Step-by-step explanation:

Example : If we divide a cake into 8 pieces and a similar cake is into 4 pieces, a piece of cake taken from 4 pieces will be bigger than a piece taken from 8 pieces.

Similarly, size of 3 pieces of cake taken from 4 pieces will be bigger than the 3 pieces taken from 8 pieces.

Therefore, \frac{3}{4} will be greater than \frac{3}{8}.

Tomas is incorrect.

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Answer:

The price after the discount would be $315.

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To find slope subtract the two points in the coordinate (y). We have 8 and 4 so subtract those two. You get 8-4=4. Now start from the same coordinate expect this time subtract (x). Which is 9-3=6. You have 4/6 simplify and you get 2/3. Your slope is 2/3. Hope this helps
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Which ratio correctly compares 60 mm to 45 cm?
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If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!
timama [110]

x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0

By the quadratic formula,

x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2

Then

(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2

\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}

Multiply numerator and denominator by the denominator's conjugate:

\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15

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X + 7y = -4 <br> solve for x
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To solve for x
x+7y=-4
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Read 2 more answers
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