For that case, we factor the numerator and denominator:
Numerator:
![2x ^ 2 + 7x + 3](https://tex.z-dn.net/?f=2x%20%5E%202%20%2B%207x%20%2B%203)
We rewrite the term of the medium as a sum of two terms whose product is:
![2 * 3 = 6](https://tex.z-dn.net/?f=2%20%2A%203%20%3D%206)
And the sum is:
+7
Those numbers are 6 and 1.
![2x ^ 2 + 6x + 1x + 3](https://tex.z-dn.net/?f=2x%20%5E%202%20%2B%206x%20%2B%201x%20%2B%203)
We factor the maximum common denominator of each group:
![2x (x + 3) +1 (x + 3)](https://tex.z-dn.net/?f=2x%20%28x%20%2B%203%29%20%2B1%20%28x%20%2B%203%29)
So:
![2x ^ 2 + 7x + 3 = (2x + 1) (x + 3)](https://tex.z-dn.net/?f=2x%20%5E%202%20%2B%207x%20%2B%203%20%3D%20%282x%20%2B%201%29%20%28x%20%2B%203%29)
Denominator:
![(x ^ 2-9) = (x + 3) (x-3)](https://tex.z-dn.net/?f=%28x%20%5E%202-9%29%20%3D%20%28x%20%2B%203%29%20%28x-3%29)
So, we have:
![\frac {(2x + 1) (x + 3)} {(x + 3) (x-3)}](https://tex.z-dn.net/?f=%5Cfrac%20%7B%282x%20%2B%201%29%20%28x%20%2B%203%29%7D%20%7B%28x%20%2B%203%29%20%28x-3%29%7D)
Simplifying we have left:
![\frac {(2x + 1)} {(x-3)}](https://tex.z-dn.net/?f=%5Cfrac%20%7B%282x%20%2B%201%29%7D%20%7B%28x-3%29%7D)
Answer:
Option A
Answer:
The cold length of metal rod is 435.14 cm
Step-by-step explanation:
Given as :
The percentage expansion of metal rod = 3.5%
The quantity of expansion = 15.23 cm
Let the cold length be x
So, 3. 5% of x = 15.23 cm
Or, 0.035 × x = 15.23 cm
Or, x =
cm
∴ x = 435.14 cm
Hence The cold length of metal rod is 435.14 cm Answer
Answer:
<em>45 minutes </em>
Step-by-step explanation:
We want to know how long it takes to an airplane to fly a distance of 375 miles, if the speed of the airplane is 500 miles per hour.
For this, we should divide the distance/speed to get the time that the plane needs.
T = 375mi/(500mi/h) = 0.75 hours
The plane needs 0.75 hours or 0.75*60 = 45 minutes to fly that distance.
You want to get 6 to equal the total (48) 48/6=8
So 5×8=40
And 6×8=48
So of the 48 tools he sold 40 of them were hammers