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Ivan
2 years ago
8

Resolve into factors. px + qx + py + qy (algebra). ​

Mathematics
2 answers:
mamaluj [8]2 years ago
6 0

Answer:

(p+q)(x+y)

HOPE IT HELPS YOU.....

amm18122 years ago
5 0

Step-by-step explanation:

we want to factor the following expression

\displaystyle px + qx + py + qy

to do so group px's and qy's

\displaystyle px +  py  + qx + qy

factor out p:

\displaystyle p(x +  y ) + qx + qy

factor out "q":

\displaystyle p(x +  y ) + q(x + y)

group:

\boxed{ \displaystyle( p+ q)(x + y)}

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svlad2 [7]
5x-15-2x=6
3x=21
x=7

Therefore, x must equal 7.
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3 years ago
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artcher [175]

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Which statements are correct based on the graph? Select all that apply.
tangare [24]

Answer:

2,3,4

Step-by-step explanation:

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8 0
2 years ago
How do I find this, what’s the formula to find the 20th term and can anyone explain the formula? Will award brainliest
harina [27]

Answer:

  • f(n) = n^2 +1
  • f(20) = 401

Step-by-step explanation:

The first differences of the sequence are ...

  • 5-2 = 3
  • 10-5 = 5
  • 17-10 = 7
  • 26-17 = 9
  • 37-26 = 11

Second differences are ...

  • 5 -3 = 2
  • 7 -5 = 2
  • 9 -7 = 2
  • 11 -9 = 2

The second differences are constant, so the sequence can be described by a second-degree polynomial.

We can write and solve three equations for the coefficients of the polynomial. Let's define the polynomial for the sequence as ...

  f(n) = an^2 + bn + c

Then the first three terms of the sequence are ...

  • f(1) = 2 = a·1^2 + b·1 + c
  • f(2) = 5 = a·2^2 +b·2 + c
  • f(3) = 10 = a·3^2 +b·3 +c

Subtracting the first equation from the other two gives ...

  3a +b = 3

  8a +2b = 8

Subtracting the first of these from half the second gives ...

  (4a +b) -(3a +b) = (4) -(3)

  a = 1 . . . . . simplify

Substituting into the first of the 2-term equations, we get ...

  3·1 +b = 3

  b = 0

And substituting the values for a and b into the equation for f(1), we have ...

  1·1 + 0 + c = 2

  c = 1

So, the formula for the sequence is ...

  f(n) = n^2 + 1

__

The 20th term is f(20):

  f(20) = 20^2 +1 = 401

_____

<em>Comment on the solution</em>

It looks like this matches the solution of the "worked example" on your problem page.

4 0
3 years ago
Mrs. Blake's bill at a restaurant was $42.75. She wants to leave the waiter an 18% tip. How much will she pay in all, including
svlad2 [7]
The quick way to do this is to multiply the bill by 1, mult. it again by 0.18, and then add the two results together.  

Better and faster:  Mult. the bill amount ($42.75) by 1.18:

1.18($42.75) = $50.45 (answer)


4 0
3 years ago
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