Answer:
Domain: All the real numbers
Range: All the real numbers
Step-by-step explanation:
The domain of a function is the complete set of possible values of the independent variable 'x'. That is to say, all the values that 'x' can take:
In this case, f(x)= 2x+1, the independent variable has no restrictions. Meaning that 'x' can take all the Real Values. In set notation: x∈ℝ.
The range of a function is the complete set of all possible resulting values of the dependent variable 'y'. In this case, given that the independent variable has no restrictions, the dependent variable 'y' can take any value. So, the range is: y ∈ ( −∞, ∞ ) - All the real numbers.
Answer:
$8.50hr+ $100=x
Step-by-step explanation:
His $8.50 per hour is given to him plus $100 bonus.
1) Yes
2) 5 minutes
3) 2 minutes
Step-by-step explanation:
1: Yes because, using the vertical line test, the line will cut the graph once meaning that the graph will form a function
2: 5 minutes because the horizontal line represents that she rested, therefore she was at the park for five minutes
3: 2 minutes because she traveled and reached home between 6 and 8 minutes
Answer:
x = 7 and x = -1
Step-by-step explanation:
First, we need to factor this quadratic.
To do this, start by finding all the factors of C.
7 x 1, -7 x -1
Now, we need to pick out the factors that add up to the b number, which is 8. That would be 7 and 1.
Now, we can use the numbers 7 and 1 to create two binomials.
( x + 7 ) ( x + 1 ) = 0
The last thing we need to do is to set those binomials to 0 and solve each of them individually.
x + 7 = 0
x = - 7
Solving the first binomial gives us our first solution, -7.
x + 1 = 0
x = -1
Solving the second one gives us our second solution, -1.
The solutions are -7 and -1.
Answer: X=1.5
Step-by-step explanation:
The equation when y is -16
-16=-8x-4
-12=-8x
12/8 is 1.5
