Answer:
y=-1/2x+1
Step-by-step explanation:
We can use the points to find the slope of the line.
Equation: y₂-y₁/x₂-x₁
2-4/-2-(-6)
2-4/-2+6
-2/4
-1/2 is the slope of the line
So the equation is y=-1/2x+b
We can substitute one of the x-coordinates and the matching y-coordinate into this equation:
2=-1/2*(-2)+b
2=1+b
1=b
b=1
Therefore, the equation is y=-1/2x+1
Give the number a label. That can be anything you want. A lot of people will use 'x' every single time they do a math problem,but there's no reason to do that and it's boring. Let's call our number ' M ' for 'Mystery number'. OK ?
The number . . . M
The square of the number . . . M²
Two more than the square of the number . . . M² + 2
You said that this is equal to 123, so we can write <u> M² + 2 = 123</u>
That's the equation we have to take and solve for ' M '.
Subtract 2 from each side of the equation, and you have M² = 121 .
Take the square root of each side: M = √121 .
The Mystery number is the square root of 121.
If you don't happen to know what that is, then you can use your pocket
calculator, or the calculator that comes with your computer (if you know
how to find it). They will all tell you that the square root of 121 is <em>11</em> .
That's a fine and wonderful answer, but technically, it's only half of the
answer. Any equation that has something squared in it almost always
has two solutions, and this one does.
The square root of 121 is a number that gives you 121 when you
multiply it by itself. ' 11 ' does that: (11 x 11) = 121 . Is there <em><u>another</u></em>
number that does the same thing ?
How about ' -11 ' ? Look at this: ( -11 x -11 ) = 121 . (Remember that
if both numbers being multiplied have the <em>same sign</em>, then their product
is positive.)
The bottom line is: The mystery number is<em> +11</em> and also<em> -11</em> .
Either one does what you want . . . When you square it and then
add 2 more, you get 123 either way.
A)linear because it is increasing by same amount each month
b) it's around 110 percent
Answer:
ty::::::>>>>>::::>
Step-by-step explanation:
The y< -2x + 6 is the one that crosses at 6 on the y-axis. the < indicates that you shade BELOW it, so the left side of that line is shaded because it has a negative slope.
the y> 5/4x - 6 is the one that crosses at -6 on the y-axis. the > indicates that you shade ABOVE it, so the left side would also be shaded because it has a positive slope.
so whatever point is in both of those shaded areas would satisfy both inequalities
