Answer:
a) x = 13
b) x = 7
Step-by-step explanation:
A) Since they have the same base of 2 so
x + 4 + (-5) = 12
x - 1 = 12
x = 13
b) Since they have the same base of -3 so
8 + x + 4 = 19
x + 12 = 19
x = 7
Answer:
A) Area = 
B) Domain = {x < 24}
Step-by-step explanation:
<u>Complete Question:</u>
A car dealership has 24ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. The sides against the wall require no partition. Suppose the play space is x feet long.
A) express the area of the play space as a function of x
B) find the domain of the function
Solution:
A)
The rectangle has area of length * width
length is x
so width will be 24 - x
Hence, the area will be:
Area = x(24 - x)
Area = 
B)
Domain is the set of x values that make the function defined.
The domain will be all values less than 24.
Because if you take 24, the area would be 0 [doesn't make sense]
if you take anything over 24, the area would be negative [not possible]
Hence, the domain is:
Domain = {x < 24}
Consider the equation
, it can be expressed as
.
Now, we have to write the equivalent equation.
Since, Equivalent equations are those equations which have exactly same solution. We can say that the two equations are equivalent if solution of one equation is the solution of other equation.
So, consider the equation 
Equivalent equation can be obtained by multiplying the given equation by any number say '2'.
Multiplying both sides of the given equation by '2'.



is the required equivalent equation.