Martin's class has 28 students in it 25 % of those students are homesick today. How many students are home sick

Mathematics

1 answer:

lisov135 [29]2 years ago

7 0

7 students are home sick

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What are the zeros of 3x²(x+π)³(x-4)²

Aneli [31]

Hi again!

The zeros are the values of x. This is where the graph intersects the x - axis. In order to find the zeros, replace y with 0 and solve for x.

The answer is x = 0, -π, 4

I am not sure what grade are you or the level, but for me, they sometimes asked me to find their multiplicities as well

The multiplicity of a root is the number of times the root appears.

So, the answer are
x = 0 and the multiplicity of 2
x = -π and the multiplicity of 3
x = 4 and the multiplicity of 2

Good luck with your studies!

5 0

2 years ago

Find the roots of the equation x^3-3x^2+x+5

leonid [27]

First observe that x=-1 is a root of the equation. Use long division to divide x^3-3x^2+x+5 by x+1, we find that (x^3-3x^2+x+5)/(x+1)=(x^2-4x+5). Now we need to find the roots of x^2-4x+5.
x^2-4x+5=0,
x^2-4x+4=-1,
(x-2)^2=i,
x-2=i or -1,
x=2+i or 2-i.
The three roots are 2+i, 2-i, -1.

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2 years ago

Let f(x) = 4x – 5 and g(x) = 3x + 7. find f(x) + g(x) and state its domain.

Tema [17]

We are given the functions:

f(x) = 4 x – 5 ---> 1

g(x) = 3 x + 7 ---> 2

To find for the value of f(x) + g(x), all we have to do is to add equations 1 and 2:

f(x) + g(x) = 4 x – 5 + 3 x + 7

f(x) + g(x) = 7 x + 2 = y

In this case, for any real number value assign to x, we get a real number value of y. This is because the function is linear.

Therefore the domain of the function is all real numbers.

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2 years ago

Convert the length of 7 centimeters to meters. Compare the numerical values when both numbers are written in scientific notation

Pie

I think you did correct.

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2 years ago

Your personal library contains books written by 165 authors. 60% of the authors are men. 40% of the authors write only nonfictio

Ludmilka [50]

Lets discern the infomation:

number_men = 165*0.6 = 99

so there are 99 men

non_fiction = 165 * 0.4 = 66

so 66 authors write non-fiction.

men writing non-fiction are 40, so 59 men write fiction, and 26 women write non-fiction.

probability of author non-fiction or man?
non-fiction: 40 men + 26 women = 66 total
man writers = 99

so in total 99 man + 26 women = 115 authors

hence the probability is:
115/165 = 69.6%

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2 years ago