Answer:
{x,y}={
3
13
,
3
1
}
Step-by-step explanation:
More Icon
System of Linear Equations entered :
[1] x + 2y = 5
[2] x - y = 4
Graphic Representation of the Equations :
2y + x = 5 y + x = 4
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = y + 4
// Plug this in for variable x in equation [1]
[1] (y +4) + 2y = 5
[1] 3y = 1
// Solve equation [1] for the variable y
[1] 3y = 1
[1] y = 1/3
// By now we know this much :
x = y+4
y = 1/3
// Use the y value to solve for x
x = (1/3)+4 = 13/3
Solution :
{x,y} = {13/3,1/3}
Hello,
Let me try out the solution for you.
Consider the below scenarios for the equation y = |x+5|-|x-5|
Case 1:
when x more than or equal to 5
then y=(x+5)-(x-5) = 10
hence y=10
Case 2:
when -5<x<5
y=(x+5)-(-(x-5)) = 2x
y=2x so y can take 9 values corresponding to x={-4,-3,-2,-1,0,1,2,3,4}
Case 3:
when x less than or equal to -5
y= -(x+5)-(-(x-5))
y=-10
Hence if we combine all 3 cases we get that y can take total of 11 values.
The answer is D it represents
❤️Hello!❤️For experimental data it may be good to use linear regression.
For precise data you do not need linear regression.
Step-by-step explanation: If you have a number of experimentally generated data points that are subject to inaccuracies then you can use something like linear regression to generate a linear model that fits the data reasonably well. Many modern calculators have a linear regression capability.
On the other hand, if you are given precise data, you should be able to generate a model that fits the data exactly. For example, given points (
x
1
,
y
1
) and (
x
2
,
y
2
) which are supposed to lie on a line, the equation of the line in point-slope form is:
y
−
y
1
=
m
(
x
−
x
1) where m
=
y
2
−
y
1
x
2
−
x
1 from which we can derive the slope-intercept form:
y
=
m
x
+
c where c
=
y
1
−
m
x
1. ☯️Hope this helps!☯️ ↪️ Autumn ↩️
