The equivalent expression of 9q^ 2 - 2/3(3q - 7) + 5q^2 is 14q^ 2 - 2q - 14/3
<h3>How to determine the equivalent expression?</h3>
The expression is given as:
9q^ 2 - 2/3(3q - 7) + 5q^2
Open the bracket
9q^ 2 - 2q - 14/3 + 5q^2
Evaluate the like terms
14q^ 2 - 2q - 14/3
Hence, the equivalent expression of 9q^ 2 - 2/3(3q - 7) + 5q^2 is 14q^ 2 - 2q - 14/3
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You may perform the division using either long division or synthetic division. Any preference?
I used synthetic div. with -2 as the divisor:
________________
-2 / 3 4 -10 0 15
-6 4 12 -24
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3 -2 -6 12 -9
In factored form, with remainder, we then have:
(x+2)(3x^3 - 2x^2 - 6x + 12) remainder -9
If you need clarification of any part of this solution, let me know.
Step-by-step explanation:
Square root is equivalent to 1/2 power:
Square root of 9 is 3. Multiply the exponents by 1/2 to get:
Answer: 20% is your answer
Step-by-step explanation:
180-150=30
30 divided by 150 = .2 which is 20%
