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Leya [2.2K]
3 years ago
14

Subtract 6 1/3 - 4 1/9​

Mathematics
1 answer:
Debora [2.8K]3 years ago
6 0

Answer:

2 2/9

Step-by-step explanation:

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Factor both quadratic expressions. (x 4 + 5x 2 - 36)(2x 2 + 9x - 5) = 0
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So focusing on x^4 + 5x^2 - 36, we will be completing the square. Firstly, what two terms have a product of -36x^4 and a sum of 5x^2? That would be 9x^2 and -4x^2. Replace 5x^2 with 9x^2 - 4x^2: x^4+9x^2-4x^2-36

Next, factor x^4 + 9x^2 and -4x^2 - 36 separately. Make sure that they have the same quantity inside of the parentheses: x^2(x^2+9)-4(x^2+9)

Now you can rewrite this as (x^2-4)(x^2+9) , however this is not completely factored. With (x^2 - 4), we are using the difference of squares, which is a^2-b^2=(a+b)(a-b) . Applying that here, we have (x+2)(x-2)(x^2+9) . x^4 + 5x^2 - 36 is completely factored.

Next, focusing now on 2x^2 + 9x - 5, we will also be completing the square. What two terms have a product of -10x^2 and a sum of 9x? That would be 10x and -x. Replace 9x with 10x - x: 2x^2+10x-x-5

Next, factor 2x^2 + 10x and -x - 5 separately. Make sure that they have the same quantity on the inside: 2x(x+5)-1(x+5)

Now you can rewrite the equation as (2x-1)(x+5) . 2x^2 + 9x - 5 is completely factored.

<h3><u>Putting it all together, your factored expression is (x+2)(x-2)(x^2+9)(2x-1)(x+5)=0</u></h3>
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X-y=8<br> Write the equation in slope-intercept form and then state the slow and y intercept
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Step-by-step explanation:

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Jake’s skateboard cost 95 dollars, plus an additional 25% fee for a custom paint design, trucks and wheels. What is the total co
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Answer: F the answer

Jake’s skateboard cost 95 dollars, plus an additional 25% fee for a custom paint design, trucks and wheels. What is the total cost for Jake’s new skateboard?

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