Answer: d. The domain would only include positive numbers.
Step-by-step explanation:
Given: A function is created to represent the miles per gallon your car gets.
Here, the independent variable = the amount of fuel the car gets in gallons.
and the dependent variable = the total miles of car travel .
We know that the domain of a function is a set of all values of independent variable.
Thus, the domain would only include positive numbers because the quantity of fuel in a car is never negative and it can be in fraction .
Hence, D is the right answer.
Answer:
Equation: 4.90/b = 14/100
Solution: b = $35
Step-by-step explanation:
Variable b = cost of the haircut
Solve for b:
4.90/b = 14/100
490 = 14b
35 = b
Check your work:
35 × 0.14 = 4.90
Correct!
Answer:
See attachment
Step-by-step explanation:
The given inequality is

We multiply both sides by -2 and reverse the inequality sign to get:


We draw an open circle at 32 and draw an arrow to the right as shown in attachment.
The equation of the line is
.
Solution:
The points on the line are (–6, –3) and (4, –5).

Slope of the line:





Point-slope formula:




Subtract 3 from both sides of the equation.

The equation of the line is
.
You can find the answer by substituting the x-values provided in the question and seeing if you get what the question says.
a satisfies all of the parameters.
b doesn’t satisfy g(-1), so it’s not b.
c doesn’t satisfy g(-1), so it’s not c.
d doesn’t satisfy g(-1), so it’s not d.
The correct answer is a.