Answer:
k =
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log( )
log a = log b ⇒ a = b
Given
logk - log(k - 2) = log25, then
log ( ) = log25, thus
= 25 ( multiply both sides by (k - 2)
25(k - 2) = k
25k - 50 = k ( subtract k from both sides )
24k - 50 = 0 ( add 50 to both sides )
24k = 50 ( divide both sides by 24 )
k = =
we are given
f(x)=[x=1]
where bracket means ceiling functions
we know that
Ceiling function returns the least value of the integer that is greater than or equal to the specified number
so, we can check each options
option-A:
At x=-4:
f(x)=[-4-1] =-5
For x<-3:
Let's assume
x=-3.1
f(x)=[-3.1-1] =[-4.1]=-5
so, this interval is TRUE
option-B:
At x=-2:
f(x)=[-2-1] =-3
For x<-1:
Let's assume
x=-1.1
f(x)=[-1.1-1] =[-2.1]=-3
so, this is FALSE
Answer:
x = 155º
Step-by-step explanation:
y = 25° {Vertically opposite angles}
x + y = 180 {Co-interior angles are supplementary}
x + 25 = 180
Subtract 25 from both sides
x = 180 - 25
x = 155°
