The sum of two numbers is 20. The difference between three times the first number and twice the second is 40. Find the two numbe
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Answer:
The coordinates of the lines when both lines meets at point is ( 0, 0 )
Step-by-step explanation:
Given as :
The two lines are
x +
y =
And 4 x + y = 4
The coordinate of the lines are obtained when the two lines intersect
Let the coordinate of intersection points are ( x , y )
Now , The first lines as
x +
y =
Or, Taking LCM we get ,
=
Cross multiplication both sides
Or, 3 × ( 4 x + y ) = 2 × 6
Or, 3 × 4 x + 3 × y = 12
Or, 12 x + 3 y = 12 ...........A
Other line is 4 x + y = 4
i.e 3 × ( 4 x + y ) = 3 × 4
or, 12 x + 3 y = 12 .........B
Solving both the line equations
(12 x + 3 y ) - ( 12 x + 3 y ) = 12 - 12
I.e x = 0 and y = 0
So coordinates are ( x , y ) = ( 0 , 0 )
Hence The coordinates of the lines when both lines meets at point is ( 0, 0 ) Answer
Ok, first you need to read a - g and mark down the information you know. Also, this continuous function can look pretty much like anything long as it has the a - g constraints/rule.
A) We know the domain(x values) is between -10 to infinity
(-10,-9,-8,-7,-6,-5,-4,-3-,2,-1,0,1,2,3,4,5,6,7,8,9,10, to ---------> infinity)
B) We know the range(y values) is between -6 to infinity
(-6,-5,-4,-3-,2,-1,01,2,3,4,5,6,7,8,9,10, to ---------> infinity)
C) Next we know f(0) = f(4) = 0
So we know when x = 0 that f(0) = 0 or we can say y = 0. We also know when f(4) = 0 so when x = 4 y = 0. So we have two points (0,0) and (4,0) that our function will be on so plot the two points (0,0) (4,0)
D) It tells us that f(x) (y) is increasing between the x values (-10,-6) or (-2,2) or (4, to infinity)
E) It tells us that f(x) (y) is decreasing between the x values (-6,-2) or between (2,4)
F) Tells us that f(x) (y) is greater than or equal to between the x values of [-8,-4] or between the x values [0, to infinity) so this lets us know our drawing is going to be above or equal to 0 when we are in the values [-8,-4] or [0, to infinity)
G) Tells us that f(x) (y) is less than 0 when the function / drawing is between the x values of (-10, -8) or (-4,0)
The picture is what the function could look like. It can be different but needs to following the rules that are given
A) We know the domain(x values) is between -10 to infinity
(-10,-9,-8,-7,-6,-5,-4,-3-,2,-1,0,1,2,3,4,5,6,7,8,9,10, to ---------> infinity)
B) We know the range(y values) is between -6 to infinity
(-6,-5,-4,-3-,2,-1,01,2,3,4,5,6,7,8,9,10, to ---------> infinity)
C) Next we know f(0) = f(4) = 0
So we know when x = 0 that f(0) = 0 or we can say y = 0. We also know when f(4) = 0 so when x = 4 y = 0. So we have two points (0,0) and (4,0) that our function will be on so plot the two points (0,0) (4,0)
D) It tells us that f(x) (y) is increasing between the x values (-10,-6) or (-2,2) or (4, to infinity)
E) It tells us that f(x) (y) is decreasing between the x values (-6,-2) or between (2,4)
F) Tells us that f(x) (y) is greater than or equal to between the x values of [-8,-4] or between the x values [0, to infinity) so this lets us know our drawing is going to be above or equal to 0 when we are in the values [-8,-4] or [0, to infinity)
G) Tells us that f(x) (y) is less than 0 when the function / drawing is between the x values of (-10, -8) or (-4,0)
The picture is what the function could look like. It can be different but needs to following the rules that are given