A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
Answer:
£2598.80
Step-by-step explanation:
155 people pay
49 are under 16
The number of 16+ people is: 155 - 49 = 106
Total money collected:
106 * £18.60 + 49 * £12.80 = £1971.60 + £627.20 = £2598.80
Answer:
The correct option is;
Because the vertical line intercepted the graph more than once, the graph is of a relation, but it is not a function
Step-by-step explanation:
Given that a function maps a given value of the input variable, to the output variable, we have that a relation that has two values of the dependent variable, for a given dependent variable is not a function
Therefore, a graph in which at one given value of the input variable, x, there are two values of the output variable y is not a graph of a function
With the vertical line test, if a vertical line drawn at any suitable location on the graph, intercepts the graph at more than two points, then the relationship shown on the graph is not a function.
Locate 1 on the x axis. This is the horizontal number line.
Draw a vertical line through 1 on the x axis. Extend this vertical line as far up and down as you can.
Notice how the vertical line crosses the blue curve. Mark this point. Then draw a horizontal line from this point to the y axis. The horizontal line will touch -4 on the y axis. So that means the point (1,-4) is on the curve.
If the input it is x = 1, then the output is y = -4
So that's why the answer is choice A
2/5ths divides by 3 and 1/10 is 0.129
