Answer:
(1, 4)
Ste-step explanation:
The relative max of this function is read directly from the graph: 4. This value of y occurs when x = 1.
Answer:
-2.453
Step-by-step explanation:
sqrt(6) * sqrt(2) = 3.461
sqrt(6) * -2 = -4.899
sqrt(3) * sqrt(2) = 2.449
sqrt(3) * -2 = -3.464
sum of numbers equals
-2.453
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
Answer:
2x + y < 7
Step-by-step explanation:
First we find the slope of the line that passes through the given points. The formula for slope is:

Using our points, we have

The y-intercept will be the point where the data crosses the y-axis. All y-intercepts have an x-coordinate of 0; since we already have the point (0, 7), we have the y-intercept at 7. This makes our equation
y = -2x + 7
The inequalities we're given are written in standard form, Ax+By=C. This means we need x and y on the same side of the equals in our equation.
Since the inequality is graphed below the line, we want our inequality to be
y < -2x+7
To move the x-value to the other side of the equation, we will add 2x to each side:
y+2x < -2x+7+2x
y+2x < 7
2x+y < 7