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nika2105 [10]
3 years ago
10

If f(x) = x-6 and g(x)= 1/2x (x+3), find g(x) * f(x)

Mathematics
1 answer:
sertanlavr [38]3 years ago
5 0

Answer:

Final answer is g\left(x\right)\cdot f\left(x\right)=\frac{\left(x-6\right)}{2x\left(x+3\right)}.

Step-by-step explanation:

given functions are f(x)=x-6 and g\left(x\right)=\frac{1}{2x\left(x+3\right)}.

Now we need to find about what is the value of g\left(x\right)*f\left(x\right).

g\left(x\right)*f\left(x\right) simply means we need to multiply the value of  f(x)=x-6 and g\left(x\right)=\frac{1}{2x\left(x+3\right)}.

g\left(x\right)\cdot f\left(x\right)=\frac{1}{2x\left(x+3\right)}\cdot\left(x-6\right)

g\left(x\right)\cdot f\left(x\right)=\frac{\left(x-6\right)}{2x\left(x+3\right)}

Hence final answer is g\left(x\right)\cdot f\left(x\right)=\frac{\left(x-6\right)}{2x\left(x+3\right)}.

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Hello,

First we work out the equations:

x + y =62 will be the first equation.

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We can first rewrite the second equation as 2x – y =13.

So we have:

x + y = 62

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KEEP IN MIND: With y being positive in one of the equations and negative in the other, we can combine the equations to quickly eliminate y and solve for x.

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Now that we have x we can substitute the value for x, 25.

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Therefore,

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Have a amazing day.

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stellarik [79]
Hey :)

The answer is 100.
The overall area will be the length times the width:
200 times 300 = 60000.
If the plot of land doubles in size, then the resulting area will be 120000. To get to 120000, the question is saying that the same number was added to both 200 and 300, which were then multiplied together. The equation will look like this:
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Next, you will subtract 120000 from both sides to get 0 on one side of the equation:
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Next, you will essentially perform the opposite of FOIL (now you're trying to get the right side of the equation into two parentheses):
(x + 600) times (x - 100) = 0  (you can check if this is correct by performing FOIL and making sure that product is the previous equation)
Now, set both of the parentheses equal to 0 and solve:
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Hope this helps! :)
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