What number goes in the box?
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
we have the expression
Convert to vertex form
where
a is the leading coefficient
(h,k) is the vertex
Complete the square
Rewrite as perfect squares
so
The coefficient a =1
The vertex is the point (-2,-2)
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