Answer: 
Move all terms containing y to the left, all other terms to the right
<u>Add -14y to each side of the equation</u>
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<u>Combine like terms: 5y + -14y = -9y
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<u>Combine like terms: 14y + -14y = 0
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<u>Add '20' to each side of the equation</u>
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<u>Combine like terms: -20 + 20 = 0
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<u>Combine like terms: 7 + 20 = 27
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<u>Divide each side by -9</u>
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The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.
<h3>Standard form equation of a quadratic function.</h3>
It follows from the task content that the standard form equation of the quadratic function is to.be determined.
Since the standard form equation can be derived from the vertex form equation as follows;
f(x) = a (x - h)² + k
f(x) = a (x - 6)² - 7
Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;
-11 = a (8 - 6)² - 7
-11 = 4a - 7
4a = -4
a = -1.
Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;
f(x) = -1(x² - 12x + 36) - 7
f(x) = -x² + 12x - 43
Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.
Read more on quadratic functions;
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There is 20% decrease in the number of members.
Step-by-step explanation:
Given,
Members last year = Old value = 30
Members this year = New year = 24
Change = New value - Old value
Change = 24 - 30
Change = -6
The negative sign indicates the decrease.
Decrease percent = 
Decrease percent = 
Decrease percent = 
Decrease percent = 20%
There is 20% decrease in the number of members.
Keywords: percentage, division
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Answer:
That's all I could think that you might need. Finish your question please
Step-by-step explanation:
Together: 13
Andre has 3 more
If by 4x(2) you mean 4x to the power 2 or 4x^2...it can be solved in the following way
f(x)=4x^2-4x-3
=4x^2+2x-6x-3
=2x(2x+2)-3(2x+2)
=(2x-3)(2x+2)
Therefore x=3/2 or x=-2/2=(-1)
