The system of equations can be used to find the cost of a night's stay and the cost of a meal is:
2n + 5m = $395
5n + 11m = $959
<h3>
Simultaneous equations</h3>
Simultaneous equations are two or more groups of equations. These equations have to be solved together at the same time in order to determined the required valued. The two above equations have to be solved in order to determine the cost of a night's stay and the cost of a meal.
The methods of determining the required values are:
- Elimination method
- Graph method
- Substitution method
To learn more about simultaneous equations, please check: brainly.com/question/25875552
Step-by-step explanation:
a)
For each value of x, we need to solve for y.
Our equation is x² -2. This means that we multiply x by itself ( x * x = x²), and then subtract that value by 2.
Here is a list of the unfilled answers:
x = -2:
-2²-2 = -2 * -2 -2 = 4-2 = 2. -2 * -2 = 4 because two negatives multiplied together makes a positive.
x=-1:
-1²-2 = 1 -2 = -1
x=1
1²-2 = 1-2= -1
x=3:
3²-2 = 9-2 = 7
b)
In this graph, the y represents the vertical part and x represents the horizontal. For each value of y, there is a horizontal line that can be drawn. For example, when y=0, the bolded horizontal line near the bottom of the graph represents that. We then need to find the points on the line representing x²-2 where it touches the horizontal line of y=0. This happens when x=-1.5 and x=1.5, as it is between the positive/negative 1 and 2 values of x
Answer:
Y=1/2x +5
Step-by-step explanation:
(0,5) (-10,0)
0-5/-10-0=1/2
(0,5) (x, y)
Y-5/x-10=1/2(crossmultiply)
2y-10=x
2y= x +10(divide all sides by 2)
Y=1/2x+5
Answer:
9y 2x+0,4y=9 4=2,3
Step-by-step explanation:
It is positive and increasing
