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
The answer is pretty simple, 1/8, 1/5, 1/4, 1/2
13
Because the exponent is really just how many factors you have.
For example 2 to the power 5 would have 5 factors in expanded form.
Answer:
it takes 90 weeks for them to have the same amount of money saved which would be 600 dollars
Step-by-step explanation:
100 Addison 200 Ava
1. 10 weeks= $50 1. 10 weeks= $40
2. 10 weeks= $50 2. 10 weeks= $40
3. 10 weeks= $50 3. 10 weeks= $40
4. 10 weeks= $50 4. 10 weeks= $40
5. 10 weeks= $50 5. 10 weeks= $40
6. 10 weeks= $50 6. 10 weeks= $40
7. 10 weeks= $50 7. 10 weeks= $40
8. 10 weeks= $50 8. 10 weeks= $40
9. 10 weeks= $50 9. 10 weeks= $40
Equals $600 Equals $600
Hope this helps took me some time!
1 Answer. Suryin =) . 96√3 cm. Explanation: Area of regular hexagon : A=3√32a2. a is the side which is 8 cm. A=3√32(82). A=3√32(64). A= 192√32.