Answer:
(x,y) = (x, -2x²+6x+8), X∈R
Step-by-step explanation:
y= -2x²+6x+8
y=-2(x-4)×(x+1)
-2x²+6x+8= -2(x-4)×(x+1)
x∈R
(x,y) = (x, -2x²+6x+8), x∈R
The income of the man in discuss as in the task content is; rs 10,200.
<h3>What is the income of the man?</h3>
Since, it follows that 100 paisas make one rupee. This insinuates that the income tax rate which corresponds to 5 paisa per rupee is; 5%.
Hence, the amount earned by the man in discuss can be evaluated as follows;
(5/100) × Income = 510
Hence, Income = 510/0.05 = rs 10,200.
Read more on percentages;
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1) 2 points:
We need to come up with a function that intersects the graph at two points, meaning has two (x,y) in common with the function. If you look at the graph of y=x^2, you see that it would be quite easy to draw a line that intersects the graph twice. In fact, there are an infinite number of functions that would satisfy this.
One easy function is y=2. This is a horizontal line in which y=2 for all values of x. In the graph y=x^2, y=2 intersects twice.
2=x^2
x^2= √2 or -√2
the shared points are (√2,2) and (-√2,2)
b) one point:
Here, we want to find an equation with only one (x,y) in common with y=x². This is a bit trickier.
One easy solution is y=-x²
Looking at a graph of the two functions, you see that y=-x² is a reflection across the x-axis of y= x². The two functions have only one point in common: (0,0).
c) no point in common
Take another look at the graph of y=x². You see that the function never crosses the x-axis. A simple function that will never intersect the graph is y=-2. Since y is negative for all values of x, it is guaranteed to never intersect y=x², a function in which y is positive for all negative or positive values of x.
Answer:
If the problem is,
By finding it,
Take a 5 box grid in which each box represents 1 unit,
Then take 1 box of this grid,
Repeat this step,
Finally, Add them,
We get,
A grid having 10 boxes with 2 taken boxes,
Thus, 
When we do these steps for three grids we will get 
,
That is, by multiplying the result of 
by 3 we will obtain
