Everything is divisible by five, so pull out five
5(-k^2+4k-6)
Answer:
7(a+2b)
Step-by-step explanation:
To factor an expression, you want to find the greatest common factor (GCF). I know that 7 can go into both 14 and 7, so my GCF would be 7. If I divide both 7a and 14b by 7, I get a and 2b. This means that my answer would be 7(a+2b) as that simplifies to 7a+14b. Hope that was helpful!
Answer:
b
Step-by-step explanation:
i would wait until someone eltse answers just to be sure
Answer:
1 (the answer will always be 1)
Step-by-step explanation:
Let's forget about the absolute value signs for a second and just look at what's inside
This can be rewritten as
When you have the same numerator and denominator, it will always come out to 1, so we can just say that this is saying
Now, back to the absolute value signs
This comes out to negative 1, but the absolute value signs means to always change the negative to a positive (but if it's a positive, it stays positive!)
So that means:
and 1 is your answer
Answer:
1/8.
Step-by-step explanation:
Use l'Hopitals rule - we find the derivative of top and bottom of the fraction.
Derivative of the numerator = 0 - 1/2 (16 - x)^-1/2 -1
= 1 / [ 2 * (16 - x)^1/2
Derivative of the denominator = 1
When x approaches 0 this is 1 / (2*4)
= 1/8.
Another way to do this is to multiply top and bottom by 4 + (16 - x)^1/2
This becomes 16 - (16 - x) / x(4 + (16-x)^1/2)
= 1 / (4 + (16 + x)^1/2
When x ---> 0
this = 1 /(4 + 4)
= 1/8.
