To begin with, let us look at a few definitions that will help
A relation is a function if each x-value is paired with exactly one y-value. A vertical line test on a graph can be used to determine whether a relation is a function.
If we use a graph to check, we will have
We can see that there is no overlapping of coordinates. The table satisfies the vertical line test.
Hence, it is a function
The domain and range of function is the set of all possible inputs and outputs of a function respectively. The domain and range of a function y = f(x) is given as domain= {x ,x∈R }, range= {f(x), x∈Domain}.
The domain of the function, D is given by
The range, R is given by
Hello there! Your answers would be:
a. 600 - 75x = y
b. 8 months
Need an Explanation?:
Part a:
Okay, so she has 600 dollars, and she has a monthly bill, but no income. This means she is not earning any money, only loosing some.
This equation will model your situation: 600 - 75x = y
This is because:
- The 600 remains constant, you are taking away from it. The 75 x represents the amount from the total taken away after each month.
- Again, she does not earn money, only spends it on her bill.
- Y represents the total amount of money she has left after each month.
Part b:
This is asking us to see how many months it'll take for her to have $0. The question is telling us to have g(x) = 0. (This is just another way of saying y = 0, which translates to her having no money left)
So, plug 0 into the equation in place of y and solve for x.
600 - 75x = 0
<em>Start by subtracting 600 from both sides to work to isolate x.</em>
-75x = -600
<em>Next, divide -600 by -75 to finish isolating x and get your answer. </em>
X = 8
This means it will be 8 months before her checking account reaches 0.
<em>So, these are your final answers. I hope this helps, and have a great day! Please don't hesitate to ask if you need more help with this specific question! </em>
Answer:1863
Step-by-step explanation:
How is that a complex figure lol?
anyways, It is a rectangle - a smaller rectangle.
Area of rectangle is 31 * 69.
Area of smaller rectangle is 12 * 23
31*69-12*23=1863.
