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andreyandreev [35.5K]
3 years ago
9

How do you put (x+5)(x-3)[x-(4-i)][x-(4+i)] into standard form

Mathematics
1 answer:
pickupchik [31]3 years ago
6 0
(x+5)(x-3)[x-(4-i)][x-(4+i)]
 \\ 
(x^{2}+5x-3x-15)(x-4+i)(x-4-i)
\\
(x^{2}+5x-3x-15)(x^{2} -4x-xi-4x+16+4i+xi-4i- i^{2} )
\\
(x^{2}+5x-3x-15)( x^{2} -8x+16- i^{2})
\\
(x^{2}+5x-3x-15)( x^{2} -8x+16-(-1))
\\
(x^{2}+5x-3x-15)( x^{2} -8x+16+1)
\\
(x^{2}+5x-3x-15)( x^{2} -8x+17) 
From there just distribute and simplify.
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8th grade math please help! 8-10 points
Alisiya [41]
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8 0
3 years ago
Read 2 more answers
Sarah makes $10 an hour babysitting and $5 an hour gardening. her goal is to make $80 a week while working 12 hours. how many ho
vekshin1
Call b the amount of babysitting hours and 5 the amount of gardening hours.

10b+5g=80
b+g=12

Subtract 5 times the second equation from the first to get:

5b=20
Thus, b=4.  g=12-4, or 8.  Therefore, Sarah spends 4 hours babysitting and the rest gardening.
4 0
3 years ago
a cell phone company plans to market a new smartphone. they have already sold 612 units durning the first week of the campaign.
Vadim26 [7]

The first term is 612.

The common ratio is 1.08 and

The recursive rule is a_{n} = a^{n-1} \times r

<u>Step-by-step explanation:</u>

the question to the problem is to write the values of the first term, common ratio, and expression for the recursive rule.

<u>The first term :</u>

In geometric sequence, the first term is given as a_{1}.

⇒ a_{1} = 612

Now, the geometric sequence follows as 612, 661, ........

<u>The common ratio (r) :</u>

It is the ratio between two consecutive numbers in the sequence.

Therefore, to determine the common ratio, you just divide the number from the number preceding it in the sequence.

⇒ r = 661 divided by 612

⇒ r = 1.08

<u>To find the recursive rule :</u>

A geometric series is of the form  a,ar,ar2,ar3,ar4,ar5........

Here, first term a_{1} = a and other terms are obtained by multiplying by r.

  • Observe that each term is r times the previous term.
  • Hence to get nth term we multiply (n−1)th term by r .

The recursive rule is of the form a_{n} = a^{n-1} \times r

This is called recursive formula for geometric sequence.

We know that r = 1.08 and a_{1} = 612.

To find the second term a_{2}, use the recursive rule a_{n} = a^{n-1} \times r

⇒ a_{2} = a^{2-1}\times r

⇒ a_{2} = a^{1}\times r

⇒ a_{2} = 612\times 1.08

⇒ a_{2} = 661

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3 years ago
Help plssss!!! Giving. 10 pointsssssss
gayaneshka [121]

Answer:

its 34

Step-by-step explanation:

8 0
2 years ago
I don’t understand number 5
yarga [219]
Multiply what’s on the outside to the inside, the variable is always a lower case letter such as x,
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