Here, in order to find the solutions to the quadratic equation - x² + x - 30 = 0, we will use factorization method.
In the method, we will split 30, in such factors, which when added or subtracted gives us 1, and when multiplied gives us -30.
So, we will use, -5 and 6. When they are added they will give us 1 and when multiplied they will give us -30 as answer.
Now, the equation will be written as -
x² - 5x + 6x - 30 = 0
Taking common, we get
x(x - 5) +6(x-5) = 0
(x-5)(x+6) = 0
So, x - 5 = 0 and x +6 = 0, we will get, x = 5 and x = - 6
<u>Thus, the correct option is C). x = 5 and -6</u>
Answer:
52.500 by 52.500 inches
Step-by-step explanation:
The rectangle with maximum area will be a square. Its side length will be 1/4 the perimeter, so is 210/4 = 52.5 inches.
The figure is a 52.500 inch square. The interval of optimization is <em>closed</em>.
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Side lengths are restricted to the interval 0 to 105 inches.
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Any n-sided polygon with a given perimeter will have its maximum area when the polygon is regular. A regular 4-gon is a square.
Answer:
Step-by-step explanation:
jack=35
Hassan=x
x+35=255
255-35=$220 (It has to be x=)
So:
220/2=$110
Therefore:
Hassan=$110
Jack=$110+$35=$145 (because he had earned $35 more)
Answer:
x = -9
Step-by-step explanation:
the equation is 2^4x = 8^x - 3.
therefore 2^4x = 2^3(x-3)
since both have powers of 2
therefore
4x = 3(x-3)
4x = 3x - 9
4x -3x = -9
x = -9
The answer to the question is B.
