Here the denominators are quadratics , so we need to factorise them first
1/(x²-5x) +3/(x²+2x-35)
factorising x²-5x ,
here GCF is x, so taking x out we have
x(x-5)
factorising x²+2x-35 using AC method,
we find factors of -35 that add up to give 2
(x-5)(x+7)
Since we have x-5 common in both denominators, so lcd of the rational expression will be product of x(x-5)(x+7)
lcd is x(x-5)(x+7)
What do you think the answer to the question is?
Answer:
slope is -2/5, y intercept is (0,5)
Step-by-step explanation:
The slope is the number in front of the x, or how steep the line is on the graph. In this case, it is -2/5.
The y intercept happens when x = 0, so if you make x = 0 in this equation, you find that you are left with y = 5. That gives you the point (0,5) as your y intercept.
Answer:
It would take approximately 8.82 sec for a penny to strike the person.
Step-by-step explanation:
Given:
Height of the building = 1250 feet
Height of the person = 6 feet.
Modeled equation is 
We need to find the time required 't' for the penny to strike the person.
Solution:
to find the time required 't' for the penny to strike the person we will substitute;
h ⇒ height of the person.
So we get;

Now Combining the like terms we get;

Dividing both side by 16 using division property we get;

Now taking square root on both side we get;

Hence It would take approximately 8.82 sec for a penny to strike the person.