Which pair shows equivalent expressions?
A.2(2/5x + 2)=2 2/5x + 1
B.2(2/5x + 2)=4/5x + 4
C.2(2/5x + 4)=4/5x + 2
D.2(2/5x + 4)=2 2/5x + 8
Solution:
Let us distribute 2 inside the parenthesis.
That is, we use distributive property:
a(b+c)=ab+ac
So,
Answer:Option (b)
Applying distributive property, a(b+c)=ab+ac
So, Option (B) is correct.
Answer:
x = 1 , -6
Step-by-step explanation:
given,
ln (x + 2) = ln (12) − ln (x + 3)
using identity of logarithm
ln (ab) = ln (a) + ln (b)
ln (a) - ln(b) = ln (a/b)
now
ln (x + 2) = ln (12) − ln (x + 3)
ln (x + 2) =
on comparing
(x+2)(x+3) = 12
x² + 5 x + 6 = 12
x² + 5 x - 6 = 0
x² + 6 x - x - 6 = 0
x(x + 6) -1 (x+ 6) = 0
(x - 1)(x + 6) = 0
x = 1 , -6
Hence, the value of x comes out to be x = 1 , -6
Answer:
Step-by-step explanation:
Y = mx + b
-1/2 x + 3y = -3
3y = 1/2 x -3
y = 1/6 x - 1
Where slope m = 1/ 6and y intercept b = -1
7:30 am to 10:00 am is 2 hours and 30 minutes.
7:30 to 8:30 is 1 hour
8:30 to 9:30 is 1 hour
9:30 to 10:00 is a half hour, which is 30 minutes.
Since it took 2 hours and 45 minutes to arrive, they arrived at 10:15 which was not in time for the opening.