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MaRussiya [10]
3 years ago
13

Plz help me!!!!!!!!!!

Mathematics
2 answers:
Vlad1618 [11]3 years ago
4 0

Answer:  \bold{\dfrac{5\pm \sqrt{57}}{4}}

<u>Step-by-step explanation:2a-5=\dfrac{4}{a}\\\\\text{Multiply by the LCD (a) to clear the denominator:}\\\\\\2a(a)-5(a)=\dfrac{4}{a}(a)\\\\2a^2-5a=4\\\\2a^2-5a-4=0\quad \rightarrow \quad a=2,\ b=-5,\ c=-4\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-5)\pm \sqrt{(-5)^2-4(2)(-4)}}{2(2)}\\\\\\.\ =\dfrac{5\pm \sqrt{25+32}}{4}\\\\\\.\ =\dfrac{5\pm \sqrt{57}}{4}</u>

avanturin [10]3 years ago
3 0

Answer:

a = ( 5 +/- sqrt(57) )/2

Step-by-step explanation:

Uh...well just multiply by a and move the 4, setting the equation to 0.

a, b, and c are 2, -5, -4

Plug that into the QuadF.

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Bella and Heather put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes af
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ANSWER

10 weeks, $310


EXPLANATION

We have a system of linear equations as both equations need to be satisfied by the same ordered pair (x,y):


y = 25x + 60

y = 30x + 10


We can solve this by substitution. Since y is equal to 25x+60, we can substitute in 25x + 60 for y in the equation y=30x+10


y = 30x + 10

25x + 60 = 30x + 10


Subtract 25x from both sides


60 = 5x + 10

Subtract 10 from both sides and then divide both sides by 5


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x = 10


x represents time in weeks, so 10 weeks.


Find y, the amount of money, by substituting x=10 into either equation.

If we use y = 30x + 10, then


y = 30x + 10

y = 30(10) + 10

y = 300 + 10

y = 310


y = 310 implies $310 so the answer is 10 weeks, $310.

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