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:
ccccc
Step-by-step explanation:
The measure of <FCD is 77 degrees
<h3>Circle geometry</h3>
From the given diagram, we have the following:
m<FCD + 90 + m<F = 180 degrees
Given the following parameters
m<BEO = 13 degrees = m<F
Substitute into the formula:
m<FCD + 90 +13 = 180 degrees
m<FCD = 180 - 103
m<FCD = 77 degrees
Hence the measure of <FCD is 77 degrees
Learn more on circle geometry here; brainly.com/question/24375372
Note that when rounding, if the number is:
5 or greater, round up
4 or less, round down
43.68532 rounded to the nearest dollar is 44, as 6 rounds up
$44 is your answer
hope this helps
Answer:
side of 6.124 ft and height of 3.674 ft
Step-by-step explanation:
Let's s be the side of the square base and h be the height of the rectangular box.
The base and the roof would have an area of 
and cost of
The sides would have an area of 4sh and cost of 4sh*2.5 = 10sh
So the total cost for the material is
The volume of the shed has the following formula
To find the maximum value for V, we can take its first derivative, and set it to 0
h = 45/s - 0.6s = 3.674 ft
