Answer:
1) (x + 3)(3x + 2)
2) x= +/-root6 - 1 by 5
Step-by-step explanation:
3x^2 + 11x + 6 = 0 (mid-term break)
using mid-term break
3x^2 + 9x + 2x + 6 = 0
factor out 3x from first pair and +2 from the second pair
3x(x + 3) + 2(x + 3)
factor out x+3
(x + 3)(3x + 2)
5x^2 + 2x = 1 (completing squares)
rearrange the equation
5x^2 + 2x - 1 = 0
divide both sides by 5 to cancel out the 5 of first term
5x^2/5 + 2x/5 - 1/5 = 0/5
x^2 + 2x/5 - 1/5 = 0
rearranging the equation to gain a+b=c form
x^2 + 2x/5 = 1/5
adding (1/5)^2 on both sides
x^2 + 2x/5 + (1/5)^2 = 1/5 + (1/5)^2
(x + 1/5)^2 = 1/5 + 1/25
(x + 1/5)^2 = 5 + 1 by 25
(x + 1/5)^2 = 6/25
taking square root on both sides
root(x + 1/5)^2 = +/- root(6/25)
x + 1/5 = +/- root6 /5
shifting 1/5 on the other side
x = +/- root6 /5 - 1/5
x = +/- root6 - 1 by 5
x = + root6 - 1 by 5 or x= - root6 - 1 by 5
Answer:
They can make a right traingle because both sides of the equation are equal these lengths do form a right triangle.
Answer:
Step-by-step explanation:
<u>Step 1: Determine the unit rate</u>
<u>Step 2: Determine the amount of gasoline used for 216 miles</u>
Answer:
Answer:
One: 58.5
Two 36.6
Step-by-step explanation:
One
20 students * 65 = 1300 This is the total score of all 20 students. They may not all get 65, but 1300 is what their average total is.
20 students * 52 = 1040
The total score of all 40 students was 1300 + 1040 = 2340
The average for the entire class was 2340 / 40 = 58.5
Two
This question is done almost the same way.
Supposes the total number of members is 100. That means that 28 of them are men
28 * 33 = 924 This is the total age for the men
100 - 28 = 72 Out of 100, 72 of the people there are women.
72 * 38 = 2736
The total number of years of all of the members is
924 + 2736 = 3660
The average age of all members is 3660/100 = 36.6
Why did I pick 100 as the total membership? It is because a percentage is number out of 100. Am I allowed to invent things like that? Sure. I'm just using the definition of a percentage.
The average will make it come out the same.
$11.7 is the total price.
To solve. do 10 + (.17*10).
