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slava [35]
2 years ago
11

X=a-2by(2) make y the subject

Mathematics
1 answer:
sladkih [1.3K]2 years ago
3 0

Answer:

y = √{(a - x)/2b}

Step-by-step explanation:

x=a-2by²

2by² = a - x

divide through by 2b

y² = (a - x)/2b

y = √{(a - x)/2b}

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Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x? StartFraction 2 Over 11 EndFraction plus-or-minus
slamgirl [31]

Answer:

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Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

11x^{2} -4x=1  

equate to zero

11x^{2} -4x-1=0  

so

a=11\\b=-4\\c=-1

substitute in the formula

x=\frac{-(-4)\pm\sqrt{-4^{2}-4(11)(-1)}} {2(11)}

x=\frac{4\pm\sqrt{60}} {22}

x=\frac{4\pm2\sqrt{15}} {22}

x=\frac{2\pm\sqrt{15}} {11}

x=\frac{2}{11}\pm\frac{\sqrt{15}} {11}

therefore

StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 15 EndRoot Over 11 EndFraction

7 0
2 years ago
Read 2 more answers
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. determ
Temka [501]
The confidence interval would be (0.122, 0.278).

We first find our z-score.  We want a 95% confidence interval:

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Looking this up in the z-table, (http://www.statisticshowto.com/tables/z-table/) we see the z-score is 1.96.

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p \pm z\sqrt{\frac{p(1-p)}{n}}

In this problem, p = 20/100 = 0.2, and n=100:

0.2 \pm 1.96\sqrt{\frac{(0.2)(0.8)}{100}}
\\
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2 years ago
At 9am you have run 2 miles. At 9:24 you have run 5 miles. What is your running rate in minutes per mile?
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Answer:

8minutes per mile

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3 0
2 years ago
Juana tiene en su tienda un costal con 28 libras de azucar.Hizo seis paquetes de 2,5 kg cada uno,de los cuales vendio cinco.¿Cua
Likurg_2 [28]

Answer:

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Ella hace 6 paquetes de 2.5kg cada paquete.

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Here's what we'll be evaluating:  

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------------------- = -------------------- = -------------------- = ----------------------

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Now, this 23 5/6 is equivalent to 143/6, which we must divide by 11:

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Each piece will be 13/6 ft long (2 1/6 ft).

5 0
2 years ago
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