Answer:

Step-by-step explanation:
Rule: 

Answer:
A) Quantity x minus 5 over quantity x plus 1, where x≠-1 and x≠-9
Step-by-step explanation:

Simplifying the numerator first:
x² + 4x - 45 using the quadratic formula you get;
(x - 5)(x + 9)
Then simplifying the denominator x² + 10x + 9 using a quadratic formula you get;
(x + 1)(x + 9)
Dividing the numerator and denominator now gives;

Cancelling (x + 9) throughout leaves you with;

The only restrictions here is if x = 1 and 9 which will give an undefined answer.
Answer:
<em>The</em><em> </em><em>final</em><em> </em><em>velocity</em><em> </em><em>would</em><em> </em><em>be</em><em> </em><em>5</em><em>0</em><em> </em><em>m</em><em>/</em><em>s</em><em>.</em>
<em>Its</em><em> </em><em>by</em><em> </em><em>formula</em><em>,</em><em> </em>
<em>
</em>
<em><u>hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
Average speed of the particle is 13 miles per hour.
Step-by-step explanation:
From the given question expression for distance traveled by the particle is

Then fro the time interval (1, 4) we have to calculate the average speed.
At t=1, s=2(1)²+3(1) =2+3 =5 miles
And at t = 4 s=2(4)²+3(4) = 2(16)+12 = 32+12 =44 miles
So displacement of the particle in the time span from 1 to hours.
s = (44-5) = 39 miles
And the times taken = (4-1) =3 hours
From the formula speed = displacement/(time taken for displacement)
V = 39/3 = 13 miles/hour
Answer:

Step-by-step explanation:
Given : Expression
To find : Simplify the expression ?
Solution :
Using BODMAS,




Therefore, 