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2 years ago

Describe the nature of the roots for this equation. 3x^2+x-5= 0

Mathematics

2 answers:

Colt1911 [192]2 years ago

7 0

Answer:

two real,irrational roots.

GOOD LUCK!

Step-by-step explanation:

m_a_m_a [10]2 years ago

4 0

Answer:

<h2>This equation has no natural roots.</h2>

Step-by-step explanation:

$3x^2+x-5=0\\\\\text{Use the quadratic formula for}\ ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{For the given equation:}\\\\a=3,\ b=1,\ c=-5\\\\b^2-4ac=1^2-4(3)(-5)=1+60=61\\\\x=\dfrac{-1\pm\sqrt{61}}{(2)(3)}=\dfrac{-1\pm\sqrt{61}}{6}\notin\mathbb{N}$

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How to solve this problem

Shkiper50 [21]

You have to ask the question with the right type of something.

6 0

2 years ago

Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a

just olya [345]

Answer:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and $X \sim Bin(n=600, p =0.4)$

And we want this probability:

$P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation.
[tex]np=600*0.4=240\geq 10$

$n(1-p)=600*(1-0.4)=360 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=600*0.4=240$

$\sigma=\sqrt{np(1-p)}=\sqrt{600*0.4(1-0.4)}=12$

And then $X \sim N (\mu = 240, \sigma= 12)$

And we are interested on the following probability:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

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2 years ago

a ball is thrown into the air with a velocity of 40 ft/s, its height in feet seconds later is given by y=40t-16t^2. a) Find the

Scorpion4ik [409]

V(t) = dy/dt = 40 - 32t
ai). average velocity = (v(0.5) - v(0))/(0.5 - 0) = ((40 - 32(0.5)) - (40 - 32(0)))/0.5 = (40 - 16 - 40)/0.5 = -16/0.5 = -32m / s

ii). average velocity = (v(0.1) - v(0))/(0.1 - 0) = ((40 - 32(0.1)) - (40 - 32(0)))/0.1 = (40 - 3.2 - 40)/0.1 = -3.2/0.1 = -32m / s

iii). average velocity = (v(0.05) - v(0))/(0.05 - 0) = ((40 - 32(0.05)) - (40 - 32(0)))/0.05 = (40 - 1.6 - 40)/0.05 = -1.6/0.05 = -32m / s

5 0

3 years ago

WHAT'S THE ANSWER?!?

sergejj [24]

first one: 1200/1.5 = 800, second one: 20,000/10= 2000, third one: 400/20 = 20, fourth one: 266.6, fifth one: 33.3, sixth one: 1000. You're welcome!!

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3 years ago

Convert 8/9 to its decimal form and round to the nearest thousandth

mote1985 [20]

To figure out what a fraction is as a decimal u would do the top divided by the bottom

For this fraction it would look like this,

8 divided by 9 which would get you 0.88888888888

So your decimal is 0.889

Its not 0.888 because with decimals since a typical decimal is show as 2-3 numbers it would be rounded up to keep it as 3 numbers or less. so this would be 0.889 or if that doesnt work 0.888 with a line over the last 8.

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2 years ago