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3 years ago

How to round to the nearest hundred

Mathematics

2 answers:

professor190 [17]3 years ago

8 0

If the first digit in a number is 5 and up( such as 50) then it is to the nearest hundred.

marusya05 [52]3 years ago

3 0

Nearest to hundred are 96, 97,98, 99 are nearest 100.

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Find all the zeros of the polynomial function p(x) = x3 – 5x2 + 33x – 29

hram777 [196]

Answer:

$\large \boxed{\sf \ \ x=1, \ \ x=2+5i, \ \ x=2-5i \ \ }$

Step-by-step explanation:

Hello,

I assume that we are working in $\mathbb{C}$ , otherwise there is only one zero which is 1. Please consider the following.

First of all, <u>we can notice that 1 is a trivial solution</u> as

$p(1) = 1^3-5\cdot 1^2 + 33\cdot 1-29=1-5+33-29=0$

It means that (x-1) is a factor of p(x) so we can find two real numbers, a and b, so that we can write the following.

$p(x)=(x-1)(x^2+ax+b)=x^3+ax^2+bx-x^2-ax-b=x^3+(a-1)x^2+(b-a)x-b$

Let's identify like terms as below.

a-1 = -5 <=> a = -5 + 1 = -4

b-a = 33

-b = -29 <=> b = 29

$\boxed{ \ p(x)=(x-1)(x^2-4x+29) \ }$

Now, we need to find the zeroes of the second factor, meaning finding x so that:

$x^2-4x+29=0 \ \text{ complete the square, 29 = 25 + 4} \\ \\ x^2-2\cdot 2 \cdot x+2^2+25=0 \\ \\ (x-2)^2=-25=(5i)^2 \ \text{ take the root } \\ \\x-2=\pm 5i \ \text{ add 2 } \\ \\ x = 2+5i \ \text{ or } \ x = 2-5i$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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3 years ago

Alex sold wrapping paper rolls (r) as part of a school fundraiser. He earned a total of 165 reward points from his sales. Using

Dafna11 [192]

He sold 66 wrapping paper because all you want to do is divide

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3 years ago

Is the equation 4y+6=5y-8 true,false,or open

svlad2 [7]

True.

Work is in attached sheet! <3

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2 years ago

Which best explains why this triangle is or is not a right triangle?

erastovalidia [21]

Answer:

<h2>This triangle is a right triangle:</h2><h2>36² + 15² = 39².</h2>

Step-by-step explanation:

If a ≤ b <c is the length of the sides of a right triangle, then:

$a^2+b^2=c^2$

We have

$a=15\ in,\ b=36\ in,\ c=39\ in$

Check the equality:

$L_s=15^2+36^2=225+1296=1521$

$R_s=39^2=1521$

$L_s=R_s$

It's a right triangle.

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2 years ago

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Solve the equation shown for x. 2/3 x -4 1/2 = -8

liq [111]

The answer would be -5 1/4

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2 years ago

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