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Lubov Fominskaja [6]

3 years ago

11

Steve opened a bank account.he plans to deposit $35 every month.write an equation that models the total amount of money,t,deposi

ted after m months

1 answer:

zimovet [89]3 years ago

7 0

35m because 35 dollars multiplied by m months

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With a detailed explanation from the internet<br> 1/(x-5)+3/(x+2)=4

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Answer:

$\boxed{ \sf x=\dfrac{4\pm\sqrt{43}}{2}}$

Explanation:

$\rightarrow \sf \dfrac{1}{x-5}+\dfrac{3}{x+2}=4$

<u>make the denominators same</u>

$\rightarrow \sf \dfrac{1(x+2)}{(x-5)(x+2)}+\dfrac{3(x-5)}{(x+2)(x-5)}=4$

<u>join the fractions together</u>

$\rightarrow \sf \dfrac{x+2+3x-15}{(x-5)(x+2)}=4$

<u>cross multiply</u>

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<u>simplify</u>

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<u>group the variables</u>

$\rightarrow \sf 4x^2-16x-27 = 0$

<u>use quadratic formula</u>

$\rightarrow \sf x = \dfrac{-\left(-16\right)\pm \sqrt{\left(-16\right)^2-4\cdot \:4\left(-27\right)}}{2\cdot \:4}$

<u>simplify the following</u>

$\rightarrow \sf x=\dfrac{4\pm\sqrt{43}}{2}$

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Step-by-step explanation:3b(-27 + 9b) = 0

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