Ack hopped a total of 150 feet, that is 140 over what the young kangaroo hopped
Answer: a. -3(x+1), b. 19-3x, c. -9 and d. 13
Step-by-step explanation:
Lets begin with a. (fog)(x)=f(g(x))
=f(2x+x+7), Note that 2x+x+7=3x+7
=f(3x+7) (where there is x if the function f(x) we
substitute x by 3x+7)
=4-(3x+7) =4-3x-7=-3x-3= -3(x+1).
b. (gof)(x)=g(f(x))=g(4-x) (where there is x in the function
g(x) we substitute with 4-x)
= 3(4-x)+7 = 19-3x
c. (fog)(2) = -3(2+1) = -9 (we now substitute x with 2 in -3(x+1). )
d. (gof)(2) = 19-3(2)=19-6=13. (Again we now substitute x with
2 in 19-3x)
Answer: The area of the path=
Step-by-step explanation:
Given: The side length of square garden included the path= 10 ft
Then the area of the field which included both gardens and path= 
The width of the path = 1 ft
Therefore, the side of square vegetable garden = 10-2=8 ft
The area of vegetable garden =
Therefore, the area of the path=
You need k by itself, so the only way to do that is to divide both sides by 5
Answer:
log4x+log4(x-6)=2
place under single log using multiplication rule
log4(x(x-6))=2
convert to exponential form:(base(4) raised to log of number(2)=number(x(x-6)
4^2=x(x-6)
16=x^2-6x
x^2-6x-16=0
(x-8)(x+2)=0
x=8
or
x=-2 (reject, x>0)
Step-by-step explanation: