There are two numbers. one number is twice the other number. the difference of the smaller number and half the larger number is 20. an equation created to find teh smaller number will have no solution one solution or infinitely many solutions

Let's assume x be the number.

Given that, one number is twice the other number. Hence, the second number be 2x.

So, x= smaller number and 2x= larger number.

Given that, difference of x and half of 2x is 20. Hence,

x-x=20 (By simplifying)

0=20

From the above result we can see that x has vanish and we are left with 0=20 which is mathematically not correct.

Hence, there is no solution.

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.