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Ilya [14]
3 years ago
14

Answer of the question and method how to solve

Mathematics
1 answer:
timofeeve [1]3 years ago
4 0

1) 63/3 = 21

2) 16-9 = 7

3) 9+9*0= 9+(9*0)= 9+0= 9

4) 12*6= 72


I hope that's help and if you have questions please ask !

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If Melanie spins this spinner 1000 times, approximately how many times will it land on blue?
klemol [59]

Answer:

it would be 500

Step-by-step explanation:

since blue is covering 50% of the circle than the probability of it landing on blue is 50% and 50% of 1000 is 500

5 0
3 years ago
Read 2 more answers
An expression is shown below:
PolarNik [594]
Notation
I imagine that the expression you are asked to work with is:
3 x^{3}y+15xy-9 x^{2} y-45y

When you use a keyboard it is customary to use "^" to denote an exponent is coming so you could have written: 3x^3y+15xy-9x^2y-45y just to be clear.

PART A
To factor out the GCF we are looking for the greatest factor among the terms. Looking at the coefficients (the numbers) the largest number they can all be divided by is 3 so we will pull out a 3. Notice also that each term has a y in it so we can pull out that.

This gives us: 3 x^{3}y+15xy-9 x^{2} y-45y=3y( x^{3}+5x-3 x^{2} -15)

To factor is to write as a product (something times something else). It undoes multiplication so in this case if you take what we got and multiplied it back you should get the expression we started with.

PART B
Start with the answer in part A. Namely, 3y( x^{3}+5x-3 x^{2} -15). For now let's focus only on what is in the parenthesis. We have four terms so let's take them two at a time. I am separating the expression in two using square brackets. [( x^{3}+5x)]-[3 x^{2} -15]

Let's next factor what is in each bracket:
[( x^{3}+5x)]-[3 x^{2} -15] = [x( x^{2} +5)]-[3( x^{2} +5)]

Notice that both brackets have the same expression in them so now we factor that out: [x( x^{2} +5)]-[3( x^{2} +5)] = (x-3)( x^{2} +5)

Our original expression (the one we started the problem with) had a 3y we already pulled out. We need to include that in the completely factored expression. Doing so we get: 3 x^{3}y+15xy-9 x^{2} y-45y =(3y) (x-3)( x^{2} +5)

8 0
3 years ago
Is x^4-1 a factor of P(x)=x^5+5x^4-x-5
sasho [114]

Answer:

  yes

Step-by-step explanation:

The other factor is (x+5), so the product is ...

  (x^4 -1)(x +5) = x^5 +5x^4 -x -5 = P(x)

(x^4 -1) is a factor of P(x).

_____

It is not a <em>primitive</em> factor, because it can be factored as ...

  x^4 -1 = (x^2 -1)(x^2 +1) = (x -1)(x +1)(x^2 +1)

The complete factorization of P(x) to real numbers is ...

  P(x) = (x -1)(x +1)(x +5)(x^2 +1)

7 0
3 years ago
Use DeMorgan's laws to write a negation for the statement "the Hulk is green or the Iron Man is red"
erastova [34]

Answer:

"The Hulk is not green AND the Iron Man is not red"

Step-by-step explanation:

DeMorgan's laws state that the negation of an statement whose structure is "p OR q" is "not p AND not q", and similarly, that the negation of an statement whose structure is "p AND q" is "not p OR not q". The statement we want to negate in our case is "The Hulk is green OR the Iron Man is red". This is an statement whose structure is of the type "p OR q", where p would be "The Hulk is green", and q would be "the Iron Man is red". So according to DeMorgan's laws, its negation should be the statement "not p AND not q". To put them in common english, not p would be "The Hulk is NOT green", and not q would be "The Iron Man is NOT red". So the statement "not p AND not q" is simply "The Hulk is not green AND the Iron Man is not red".

7 0
4 years ago
A t-shirt decreased in price by
Bezzdna [24]

Answer:

£20

Step-by-step explanation:

1-1/4=3/4

3/4=15

1

15*1/3/4=

15*4/3=20

4 0
3 years ago
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