Answer:
To simplify first factorize both the numerator and the denominator
For the numerator
5x² + 20xy + 20y²
Factor 5 out
5 ( x² + 4xy + 4y²)
Using a² + 2ab + b² = ( a + b)²
The numerator is
5( x + 2y)²
For the denominator
x² - xy - 6y²
Rewrite -xy as a difference
x² + 2xy - 3xy - 6y²
Factorize
We have the denominator as
( x + 2y)( x - 3y)
So we now have
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Simplify
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We have the final answer as
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Hope this helps you
Answer:
P + M = 30
700P + 200M = 15000
Number of laser printers = 18
Number of color monitors = 12
Step-by-step explanation:
Let P = number of laser printers
Let M = number of color monitors
Given total number of boxes = 30
⇒ P + M = 30
Given:
- $700 = cost of laser printer
- $200 = cost of color monitor
- $15000 = total cost of order
⇒ 700P + 200M = 15000
Rewrite P + M = 30 to make P the subject:
⇒ P = 30 - M
Substitute into 700P + 200M = 15000 and solve for M:
⇒ 700(30 - M) + 200M = 15000
⇒ 21000 - 700M + 200M = 15000
⇒ 500M = 6000
⇒ M = 12
Substitute found value for M into P = 30 - M and solve for P:
⇒ P = 30 - 12 = 18
Answer:
ok so it would take more effort to lift the 1 newton that is 4 m
Step-by-step explanation:
Work is done when a an object with a certain weight is moved at a given distance;
It is the product of force and distance and therefore varies directly to both distance and force.
Work = Force × distance;
For a 4 N box 0.5 m;
Work = 4 × 0.5
= 2 Joules
For a 1 N box 4 m
Work = 1 × 4
= 4 Joules
Therefore, Lifting a 1 N box for 4 m, will take more work
hope this helps
~ukiahsmith1
P.S pls mark brianliest
have a nice day :D
Every time you play a song 8 different songs can be played, since you do this 3 times:
Or, an easier way to write this if play them many times:
In which the 8 is how many options and the 3 how many times you play.