Answers
Answer:
A. x = 6.08, x = -0.58
Step-by-step explanation:
[tex]\displaystyle \frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24}=\frac{-3}{x-6}[/tex]1. Factor the denominator.
[tex]\displaystyle \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}[/tex]2. Multiply the leftmost fraction by (x-6)/(x-6) to get common denominators.
[tex]\displaystyle \Big ( \frac{x-6}{x-6} \Big ) \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}[/tex]3. Simplify.
[tex]\displaystyle \frac{2x^2-12x}{(x-4)(x-6)}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}[/tex]4. Combine like terms.
[tex]\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6}[/tex]5. Multiply the right side of the equation by (x-4)/(x-4).
[tex]\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6} \Big ( \frac{x-4}{x-4} \Big )[/tex]6. Simplify.
[tex]\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3x+12}{(x-6)(x-4)}[/tex]7. "Cancel" out the denominators because they are equivalent.
[tex]2x^2-14x+5=-3x+12[/tex]8. Set the equation equal to 0.
[tex]2x^2-11x-7=0[/tex]Quadratic formula:
[tex]\displaystyle x = \frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]9. Factor using the quadratic formula.
[tex]\displaystyle x = \frac{-(-11)\pm \sqrt{(-11)^2-4(2)(-7)} }{2(2)}[/tex]10. Multiply and simplify.
[tex]\displaystyle x = \frac{11 \pm \sqrt{177} }{4}[/tex]11. Plug this into your calculator and solve for x.
[tex]x=6.07603367 \approx 6.08[/tex] [tex]x=-0.57603367 \approx -0.58[/tex]The correct answer is A. x = 6.08, x = -0.58.
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Step-by-step explanation:
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Step-by-step explanation:
Polynomial is an equation written as the sum of terms of the form kx^n.
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Divide using polynomial long division.
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Answer:
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Hope that this is helpful. Tap the crown button, Like & Follow me
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Step-by-step explanation:
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=12x-1
So option b.
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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As, f(x) = 2x - 3
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Answer:
Step-by-step explanation:
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Samantha calls her hairstylist to make an appointment for Monday and selects an appointment time slot, Ruby calls the same
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C. The two events are independent because the appointment time chosen by Samantha does not affect the time
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D. The two events are independent because the appointment time chosen by Samantha affects the time slots that
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Submit
1:09
Answers
Answer:
A
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
[tex]1036.66=1000e^{2r}\\ \\ r=(ln(1.03666))/2\\ \\ r=0.018\\ \\ b(x)=1000e^{(0.018x)}\\ \\ b(10)=1000e^{0.18}=\$ 1197.22[/tex]
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You open a savings account and deposit $1,000.
After 1 year of earning continuously compounded interest.
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Answers
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Answers
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Step-by-step explanation:
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Answers
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Answers
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Step-by-step explanation:
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