Make c the subject: x=-b+(b²-4ac) divided by 2a The brackets mean square root

1 answer:

7 0

$x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\
2ax=-b+\sqrt{b^2-4ac}\\
\sqrt{b^2-4ac}=2ax+b\\
b^2-4ac=(2ax+b)^2\\
-4ac=4a^2x^2+4abx+b^2-b^2\\
-4ac=4a^2x^2+4abx\\
c=-ax^2-bx$

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What the question is asking is what is the resulting value after you plug in -3 as n to the function. Meaning you replace the n that is in the function with -3.

g(-3) = $3( \frac{7}{5})^{-3}$

Remember back to the order of operations.

Parenthesis
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Multiplication
Division
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For this problem we can keep the fraction as it is (unless you are permitted to use a calculator... if that is the case then just plug all that into a calculator) and keep going to the exponent.

Negative exponents make fractions FLIP. So our fraction will look like this: $(\frac{7}{5})^{-3} = (\frac{5}{7})^{3}$

Now that we have it without the negative exponent we need to distribute the cubed power to each number in the fraction (which is essentially the same as saying this: $\frac{5}{7}* \frac{5}{7}* \frac{5}{7}$ )

$\frac{5^{3}}{7^{3}} = \frac{125}{343}$

We ARE NOT done! We still have this left:
g(-3) = $3 \frac{125}{343}$
Multiplying by 3 you get the following:

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So what does g(-3) equal? This right here:

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The table shows the results of a survey on people’s favorite fruit. What percent of the people chose strawberry as their favorit

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24.2%

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