Okay so this is a very hard conceptual question. We need to prove that (x, y) is the ordered pair when "f(x) = g(x)".
"f(x) = g(x)" represents the point where the lines share a point or basically the intersection point of the two functions.
To prove that the intersection point is (x, y) let's find the x and y values at the point of intersection.
f(x) ----> the x-value is x and the y-value is f(x)
g(x) -----> the x-value is x and the y-value is g(x)
We know that f(x) = g(x) so we know that the y values match too.
We can also substitute a variable y for f(x) or g(x) (It is simply the y-value when x is plugged in for x. I know it sounds a bit confusing.).
So the solution when f(x) = g(x) is (x, y)!!!
Answer: x = 2 , y = 5
Step-by-step explanation:
10x - 2y = 24 ..................... equation 1
6x + 2y = 8 ........................ equation 2
solving the system of linear equation by elimination method , add equation 1 and 2
16x = 32
divide through by 16
x = 2
substitute x = 2 into equation 1 to find the value of y
10(2) - 2y = 2y
20 - 2y = 2y
20 = 4y
y = 5
Answer:
3 hundredths.
Step-by-step explanation:
After the decimal point the unit becomes tenths, hundredths, thousandths and so on. The 3 is in the hundredths column.
Answer:
The rigth answer is, ( 5/2 , -1 )
Step-by-step explanation:
To find the midpoint we use the respective formula:
m = ( x1 + x2 / 2 , y1 + y2 / 2 )
We replace:
m = ( 1 + 4/2 , 3 + (- 5) / 2 )
We solve:
m = ( 5/2 , -1 )
