Answer:
y,x
Step-by-step explanation:
Simplifying
2x + 3y = 12
Solving
2x + 3y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3y' to each side of the equation.
2x + 3y + -3y = 12 + -3y
Combine like terms: 3y + -3y = 0
2x + 0 = 12 + -3y
2x = 12 + -3y
Divide each side by '2'.
x = 6 + -1.5y
Simplifying
x = 6 + -1.5y
Slope intercept form is just a way of writing a curve's equation so that the slope and the y intercept is really easy to find.
y=mx+b is the way we write slope intercept form. m is the slope (rise over run) and b is the y value where the curve hits the y axis.
So let's rearrange til the equation looks more like y=mx+b
2x+y=22 (from question)
Subtract 2x from both sides.
y=22-2x
y=-2x+22 (this is the answer to the question, you can stop here if you like)
Now we know some things about this straight line, firstly, it's straight line (x, not x^2 or anything like that), it goes downward from left to right and it is steep, every time we go 1 value along the x axis it goes down 2 values on the y axis. It also hits the y axis at +22.
Answer:
A. Left by 4 units
Step-by-step explanation:
ƒ(x) = x²
It has a vertex at (0, 0), and the y-axis is the axis of symmetry
g(x) = x² + 8x + 16 = (x + 4)²
You have added 4 to the value of x, so you have shifted the graph four units to the left.
Thus, to make the graphs of ƒ(x) and g(x) coincide, you should shift ƒ(x) left by 4 units.
The diagram below shows ƒ(x) in red and g(x) in green.
To calculate the time it will take, take the distance between Memphis and New Orleans and divide it by the speed at which the train is traveling: 395.1 / 79
The answer you will get is 5.001