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3 years ago

The ratio of girls to boys who participated in the geography bee was 5:4 there were 36 total students how many were boys

Mathematics

1 answer:

Simora [160]3 years ago

5 0

There will be 20 boys in the class.

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Find all the zeros of the equation x^4-6x^2-7x-6=0

rusak2 [61]

Answer:

The zeros are

$x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

Step-by-step explanation:

We have been given the equation x^4-6x^2-7x-6=0

Use rational root theorem, we have

$a_0=6,\:\quad a_n=1$

$\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:3,\:6,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1$

$\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:3,\:6}{1}$

$-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2$

$=\left(x+2\right)\frac{x^4-6x^2-7x-6}{x+2}\\$

$=x^3-2x^2-2x-3$

Again factor using the rational root test, we get

$=\left(x+2\right)\left(x-3\right)\left(x^2+x+1\right)$

Using the zero product rule, we have

$x+2=0:\quad x=-2\\x-3=0:\quad x=3\\x^2+x+1=0\\\\x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\\\=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

Therefore, the zeros are

$x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

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3 years ago

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Nine cyclists were each asked the distance in miles they biked last week.

Ivahew [28]

Answer:

Its A or the first option

Step-by-step explanation:

good luck

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3 years ago

Newborn Brain Damage Researchers studied 208 infants whose brains were temporarily deprived of oxygen due to complications at bi

Kazeer [188]

Answer:

To provide a baseline for judging the survival rates of infants who received whole-body cooling

Step-by-step explanation:

In this case, the purpose of the experiment is to see whether reducing body temperature for three days after birth increased the rate of survival without brain damage.

Then, the proposed method (whole-body cooling) has to be contrasted with the baseline, in this case, the "usual care". If we want to know if this proposed method is statistically better, we have to compare with these baseline with random sampling out of the same population.

If it is not compared to nothing or to a new method, it wouldn't be possible to conclude if the method is better or not than the usual care.

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How to write the number 63 in four different ways

shtirl [24]

63/1
sixty-three
63^1
63

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What is the <br> Midpoint of -3,8 -7,-6

Leni [432]

Answer:

(-5,1)

Step-by-step explanation:

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