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elixir [45]
2 years ago
6

A. Factor the polynomial: x^5-4x^3+8x^2-32 b. Solve by factoring: 2x^2-3x+1=0

Mathematics
1 answer:
lawyer [7]2 years ago
7 0

Answer:

a. (x^3+8)(x^2-4)

b. x=1 and x=1/2

Step-by-step explanation:

a. (x^3+8)(x^2-4) = x^5-4x^3+8x^2-32 [foil method: first,outside,inside,last]

b. use quadratic formula: -b +/- square root b^2-4ac / 2a

2=a; -3=b; 1=c

-(-3) + square root (-3)^2 - 4(2)(1) / 2(2)

3 + 1 / 4 = 4/4 = 1

3 - 1/4 = 2/4 = 1/2

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The area of the rectangle is 24 inches. How much longer is its length than its width?
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I Belive That There Can't Be 3 Numbers In A Rectangle Because At The Top You Get 24 And 6 And I Think It Is BxH One Half Times Base Times Height So 2xBxH . 
8 0
3 years ago
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Tasya [4]

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a

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4 0
2 years ago
Read 2 more answers
Pls Help!
mr Goodwill [35]

Answer:

34 Braids

Step-by-step explanation:

.85 per braid means 1 is 85 cents, 2 is $1.70 and so on.  So normally you would just divide the total amount of money, so for instance if you had $2.55 you would be able to afford 3 braids, since 3 braids cost $2.55.  in fact $2.56, $2.57 aaaaaaaaaaall the way up to $3.39 would be 3 braids, then $3.40 would be 4 braids.

Here though you first pay 3 dollars.  so you need 3 first, then an extra 85 cents to get 1 braid.  2 braids is 3 dollars plus 1.70, 3 braids is 3 + 2.55 4 braids is 3 + 3.40 and so on.

So what you want to do is first take away that 3 dollars you need before the braids, then divide by .85.  for instance $6.40 would get you 4 braids as I showed bcause 3 + 3.40 = 6.40.  now 6.40 - 3 = 3.40 then 3.40 divided by .85 = 4

The problem says we start with$32, so lets do those steps.  first 32 - 3 = 29.  then 29 divided by .85 = 34.11.  well it's not  whole number so lets try something.  34 braids would be 3 + .85*34 = 31.90 and 35 braids would be 32.75  So 31.90, 31.91 aaaaaaaaall the way up to 32.74 would be 34 braids then 32.75 would be 35 braids.  well, $32 is in that in between space, so it is 34 braids.

When I did 32 - 3 = 29.  then 29 divided by .85 = 34.11 that 34.11 does actually tell us we wouldn't get to 35, I just wanted to make it very clear.  so the answer is 34 braids.

7 0
2 years ago
Solution for 8x-3(2x-4)=3(x-6)
NNADVOKAT [17]
The solution is x=30
4 0
3 years ago
A closet contains n pairs of shoes. If 2r shoes are chosen at random, (where 2r < n), what is the probability that there will
Pie
We are choosing 2
2
r
shoes. How many ways are there to avoid a pair? The pairs represented in our sample can be chosen in (2)
(
n
2
r
)
ways. From each chosen pair, we can choose the left shoe or the right shoe. There are 22
2
2
r
ways to do this. So of the (22)
(
2
n
2
r
)
equally likely ways to choose 2
2
r
shoes, (2)22
(
n
2
r
)
2
2
r
are "favourable."

Another way: A perhaps more natural way to attack the problem is to imagine choosing the shoes one at a time. The probability that the second shoe chosen does not match the first is 2−22−1
2
n
−
2
2
n
−
1
. Given that this has happened, the probability the next shoe does not match either of the first two is 2−42−2
2
n
−
4
2
n
−
2
. Given that there is no match so far, the probability the next shoe does not match any of the first three is 2−62−3
2
n
−
6
2
n
−
3
. Continue. We get a product, which looks a little nicer if we start it with the term 22
2
n
2
n
. So an answer is
22⋅2−22−1⋅2−42−2⋅2−62−3⋯2−4+22−2+1.
2
n
2
n
⋅
2
n
−
2
2
n
−
1
⋅
2
n
−
4
2
n
−
2
⋅
2
n
−
6
2
n
−
3
⋯
2
n
−
4
r
+
2
2
n
−
2
r
+
1
.
This can be expressed more compactly in various ways.
4 0
3 years ago
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