Hello DrBob222
Regarding the answer you gave me thank you very much. However when you expand the denominator, I don't get -0.14 but I get -0.28. I get that because when I first expand I get 0.0049 - 0.14x - 0.14x + 4x^2. So when I simplify that I get -0.28x. So could you clarify that part for me thanks
No. You're right and I made an error. I multiplied but didn't double it as I should have done. That means that my estimated answer I gave you last night is slightly off. Thanks for letting me know.
So all I have to do now is cross multiply and solve for x right? Also when that happens, how do I factor the x^3? What do I use?
Certainly! Let's clarify the expansion of the denominator in the expression you provided.
The expression you are referring to is:
(0.07 - 0.14x)(0.07 - 0.14x)
When expanding this using the distributive property, we need to multiply each term of the first factor by each term of the second factor. Let's break it down step by step:
First, we multiply the first terms of both factors: 0.07 * 0.07 = 0.0049.
Next, we multiply the first term of the first factor (0.07) by the second term of the second factor (-0.14x): 0.07 * (-0.14x) = -0.0098x.
Similarly, we multiply the second term of the first factor (-0.14x) by the first term of the second factor (0.07): (-0.14x) * 0.07 = -0.0098x.
Finally, we multiply the second terms of both factors: (-0.14x) * (-0.14x) = 0.0196x^2.
Now, let's simplify these terms:
0.0049 - 0.0098x - 0.0098x + 0.0196x^2
Simplifying the x terms, we have:
0.0049 - 0.0196x - 0.0196x + 0.0196x^2
Combining like terms, we get:
0.0049 - 0.0392x + 0.0196x^2
Therefore, the expanded expression for the denominator is 0.0049 - 0.0392x + 0.0196x^2.
I apologize for the confusion in my previous response. You are correct, the coefficient of the linear term should be -0.0392 rather than -0.14. Thank you for bringing that to my attention.