Answer:
5(3x+4y)
Step-by-step explanation:
Hi,
The greatest common factor of 12u^5v^2x^6 and 20u^3v^8 is 4u^3v^2.
Hope this helps you.
Answer:
2.542
Step-by-step explanation:
Given the data :
Customer Pre-training Survey, x1 __Post-training Survey, x2 __ difference, d = (x2-x1)
A 6 8 2
B 5 5 0
C 10 10 0
D 7 10 3
E 6 8 2
F 5 6 1
G 2 8 6
This is a paired test as each subject has two different data values :
Difference in score, d :
dbar = Σd / n
dbar = (2+0+0+3+2+1+6) /
dbar = 14 / 7
dbar = 2
Standard deviation of d ; Sd = √[Σ(d - dbar)²/n-1]
Using calculator ; Sd = 2.082
Test statistic = dbar ÷ (Sd/√n)
Test statistic = 2 ÷ (2.082 / 7)
Test statistic = 2 ÷ 0.7869220
The statistic = 2.5415
27x + 9
------------
3
Break down the fraction. 3 is the common denominator, so it is the denominator of both numerators.
27x/3 + 9/3 = 0
9x + 3 = 0
9x = -3
x = -3/9 simplified to x = -1/3
Or simply multiply the fraction with 3/1 to remove the denominator, which is 3.
27x + 9 3 27x + 9
----------- x ------- = ----------------- or 27x + 9 = 0 ; look for x.
3 1 1
To check: Substitute x by its value:
(27x + 9) / 3 = 0 ⇒ ((27 * -1/3) + 9) / 3 = 0
⇒ (-9 + 9)/3 = 0 ⇒ 0/3 = 0 ⇒ 0 = 0
Answer: 40 cm
Step-by-step explanation:
x^2=100
√x=10
10+10+10+10=40
