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:
d. 0.133
Step-by-step explanation:
-Standard error is calculated using the formula:

#We substitute the given values in the formula to solve for E:

Hence, the standard error is 0.133 and the correct option is d
Answer:
At least 1.72 miles per day.
Step-by-step explanation:
Given: Goal of running is at least 50 miles in a month.
Andrea have already run 7 miles.
Days left in the month is 25.
As given, Andrea have already run 7 miles.
∴ Andrea need to run this month= 
Days remaining this month is 25.
Now, finding miles need to run each day to meet her goal.
Miles need to run each day= 
⇒ Miles need to run each day= 
∴ Andrea need to run at least 1.72 miles to meet her goal this month.
Answer:
Shaneeka live from Phil 7/33 mile far.
Step-by-step explanation:
Given:
Ben lives 6/11 mile north of Phil, and 1/3 mile north of Shaneeka.
Now, to get how far does Shaneeka live from Phil.
So, by subtracting the distance from 6/11 mile north where Ben lives from Phil to 1/3 mile north where Ben lives from Shaneeka:




Therefore, Shaneeka live from Phil 7/33 mile far.