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Cloud [144]
3 years ago
5

PLEASE HELP!!!!!!!!!

Mathematics
1 answer:
adell [148]3 years ago
5 0

Answer:

15.66

Step-by-step explanation:

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KATRIN_1 [288]
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A garden table and a bench cost $804 combined. The garden table costs $54 more than the bench. What is the cost of the bench?
Crazy boy [7]

Answer:

its 750

Step-by-step explanation:

because its 804 combined and 804-54=750 and 750+54=804

7 0
3 years ago
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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

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4 years ago
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ankoles [38]
A is your answer the this question 
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Alenkasestr [34]

Answer:

-4^4(4^7), in that case, the answer would be (B) -4^11

Step-by-step explanation:

Hope this helps

3 0
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