The greatest common factor (GCF) is determined by finding the greatest factor that would simplify all the terms of the equation the most.
For the equation -2x³ - 4x² + 4x
The common factor for the coefficients -2, -4 and 4 is -2, since all of them are divisible by -2.
The common factor for the variables x³, x² and x is x, since all of them are divisible by x.
Then, the GCF would be -2x. We use this to simplify the equation:
-2x(x² + 2x -2)
There are many ways you can start off by solving an equation. In this case, the first operation used in solving this equation would be subtraction. You would have to subtract 5 from each side.
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Answer:
D. x = 15; y = 5√3
Step-by-step explanation:
You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.
Since x < 10√3, only answer choices A and D are viable.
Since y < 10√3, only answer choice D is viable.
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If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.
x = 15; y = 5√3
Answer:
x _> 9 I dont have the symbol on my phone so I just put the greater than sign there
Step-by-step explanation:
1. Subtract 3 from both sides
5x > 48 - 3
2. simplofy 48 - 3 to 45
5x > 45
3. Divide both sides by 5
x > 45/5
4. Then simplify 45/5 to 9 which gives us the answer
And again I dont have the sign thats why I used the greater than sign
Answer:
The warehouse will need 40 solar panels
Step-by-step explanation:
3/5 kilowatts is generated by 1 solar panel
24 kilowatts will be generated by ?
24 ÷ 3/5 = (24×5)/3 = 120/3 = 40 solar panels.