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Julli [10]
3 years ago
8

the health inspector visits every 7 days and the fire inspector visits every 12 days what day will they both be there

Mathematics
1 answer:
Lesechka [4]3 years ago
5 0
The 84th day since the greatest common multiple is 84.
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Geometry help??????
Kitty [74]
Check the picture below.

7 0
3 years ago
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

So

\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

5 0
3 years ago
Which option below best describes the maximums of these two functions? Function g has the greater maximum of 2. Functions g and
MissTica

Answer:

salak

Step-by-step explanation:

5 0
2 years ago
What rations form a proportion ?
igomit [66]
⅔ and 8/12 form a proportion.
7 0
3 years ago
How to solve x/-3-2=5.5
amid [387]
Okay first set up the equation

 x
---      -2     = 5.5
-3

add over the 2

 x
---  = 7.5
-3

now you need to multiply the denominator by the answer

(-3)(7.5) = x
-22.5 = x
3 0
3 years ago
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