restrict the domains of quadratic functions and absolute value functions, because these functions are
functions. For instance, the quadratic function f(x) = x^2 pairs both −2 and 2 with 4, and the absolute value function f(x) = |x| pairs both −2 and 2 with 2.
Linear functions (excluding constant functions) and exponential functions are
functions, so their domains
to be restricted.
_________________
An absolute value function, without domain restriction, has an inverse that is NOT a function.
In order to guarantee that the inverse must also be a function, we need to restrict the domain of the absolute value function to make it a one-to-one function.
Answer:
Step-by-step explanation:
- 3x-2y =7
- x+2y= -3
- 4x=4
- x=4/4
- x=1
- 3x-2y=7
- 3(1)-2y=7
- 3-2y=7
- -2y=7-3
- -2y=4
- 2y=-4
- y=-4/2
- y= -2
- Verify solution
- x+2y= -3
- 1+2y= -3
- 2y=-3-1
- 2y= -4
- y= -4/2
- y= -2
Answer:
Length = 
Width = 
Step-by-step explanation:
The scale of the toy train is 
So, the dimensions of the toy train is times the actual dimensions of the train.
The dimensions of actual train is 
times the toy train's dimensions.
Length
Width
The length of the railroad car on the long island railroad is 57.5 inches.
The width of the railroad car on the long island railroad is 18 inches.
Answer:
Ella has the greatest return in the current year.
Step-by-step explanation:
Debby would receive $0.80 for each of her 2000 common stock in the oil company,hence Debby's return on investment in the current year is $1600($0.80*2000)
Besides,Ella's return on the stock investment in the current year is computed thus:
Ella's return= 5%*1000*$50=$2,500
In addition,Unique's dollar return on the investment is computed as follows:
Unique's return on investment=4%*2000*$20=$1,600
From the above computations,Ella seems to have the highest return in the current year of $2,500 whereas the two others managed to have $1600 return each
Answer:
A
Step-by-step explanation:
Let's set up two ratios...
1 cm : 5km
8 cm : x km
Therefore the answer is A
