Answer:
a. -24
Step-by-step explanation:
Multiply by 6 ...
2/3(1/2x+12)=1/2(1/3x+14)-3
4(1/2x +12) = 3(1/3x +14) -18 . . . . . . multiply by 6
2x +48 = x +42 -18 . . . . . . . . . . . . . .eliminate parentheses
x = 24 -48 = -24 . . . . . . . . . . . . . . . . simplify and subtract (x+48)
Answer:
If $200 increased by 25%, your result would be $250
If it then decreased by 25%, your result would be $187.5
Step-by-step explanation:
Multiply 200 and 25% and add 200 to get 250
Multiply 250 and 25% and then add that value to get 187.5
Answer:
We conclude that the range of the function is 'all positive real numbers'.
Thus, option (A) is true.
Step-by-step explanation:
Given the expression

Determining the domain:
The domain of a function is the set of input values for which the function is real and defined.
It is clear that the given function has no undefined points nor domain constraints.
Therefore, the domain is: -∞ < x < ∞
Thus,

Determining the range:
The range is the set of values of the dependent variable for which a function is defined.
We know that the range of an exponential function of the form


In other words, the range is all positive real numbers.
Thus,

Therefore, we conclude that the range of the function is 'all positive real numbers'.
Thus, option (A) is true.
Answer:
5 5/8
Step-by-step explanation:
How many whole 8's will fit into 45?
We find that five whole 8's fit into 45.
8*5=40
45-40=5
So, the mixed number is 5 5/8