Answer:
x=19/6, x=-9/13, x=33/4
Step-by-step explanation:
1) 2^(6x+10)=2^(12x-9), 6x+10=12x-9, x=19/6
2) 3^(4x+6)=3^(-9x-3), 4x+6=-9x-3, x=-9/13
3) 2^(x+6)*2^(3x-27)=2^(6), 4x-27=6, x=33/4
Add 2 to both sdies
now if we can facor, then if
xy=0 then x and/or y=0
note:xy=x times y and x(y) =x times y
x^2+3x+2=0
what 2 number multiply to get 2 and add to get 3
the numbers are 2 and 1
(x+2)(x+1)=0
set them to zero
x+2=0
subtract 2
x=-2
x+1=0
subtract 1
x=-1
x could be -1 or -2
x=-2, or -1
Answer:
C. All real numbers except 3/4
Step-by-step explanation:
We are given


Firstly, we will find f/g

Domain:
We know that domain is all possible values of x for which any function is defined
so, we know that denominator of any function can not be zero
so, firstly we set denominator =0
and then we can solve for x

Add both sides by 3



so, this function is defined for all values of x except at

Domain will be
All real numbers except 3/4
The white Christmas tree is 7.55m
Green Christmas tree is twice as tall as white Christmas tree: 7.55 * 2 = 15.1m
High golden Christmas tree: 15.1m - 0.454m = 14.646m
The total height of 3 Christmas trees is: 7.55m + 15.1m + 14.646m = 37.296m
Choose: A 37.296m
given h = 600 - 16t ( add 16t to both sides )
16t + h = 600 ( subtract h from both sides )
16t = 600 - h ( divide both sides by 16 )
t = 
when h = 400
t =
=
= 12.5 seconds