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Korolek [52]
2 years ago
11

Evaluate the expression when c=4 and y=-5. C-8y

Mathematics
2 answers:
bekas [8.4K]2 years ago
5 0

\huge\text{Hey there!}

\large\textsf{c - 8y}\\\large\text{= -4 - 8(-5)}\\\large\text{= -4 - (-40)}\\\large\text{= -4 + 40}\\\large\text{= 36}\\\\\large\boxed{\text{Therefore, your answer: 36}}\huge\checkmark\\\\\large\text{Good luck on your assignment \& enjoy your day!}\\\\\frak{Amphitrite1040:)}

cupoosta [38]2 years ago
3 0

Refer to the attachment.

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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

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
Why did the student dislike the average teacher
Tcecarenko [31]

Answer:

The teacher disliked her average student because he was like all the other students???

4 0
2 years ago
If x&lt; 0 and y&lt;0 where is the point (x,y) located
Phoenix [80]

Answer: 0

Step-by-step explanation:

8 0
2 years ago
Am I right or if not what is it. :)
dangina [55]

Answer:

Step-by-step explanation:

That is correct.

P=4s=4(12)=48in

A=s^2=12^2=144in^2

8 0
2 years ago
Read 2 more answers
Hey, idk how to solve this problem.
Jobisdone [24]

Answer:

Monsoon

Step-by-step explanation:

High Tide = 3

Monsoon = 2.5

Tsunami = 3.5

Monsoon is the slowest.

5 0
3 years ago
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