Answer:
Step-by-step explanation:
Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:
Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:
The reason we do this is to create a perfect square binomial on the left:
(obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:
This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.
Answer:
True or False
2. When graphing inequalities, a dashed line is used for < or > signs.
True or False
3. If you were to graph x > 6, the circle would be closed and to the left.
True or False
4. On a number line, if you were to graph an equation with a less than sign or a great than sign, < or > respectively, you would use an open circle
True or False
The equation is 2.5x + 2y - 2 = 0.
<h2>Linear system</h2>
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
He bought 2.5 pounds of apples that are x dollars a pound.
And 2 bags of lettuce for y dollars each.
The total cost is $2.
<h3>To find </h3>
The equation of this.
<h3>How to find the equation?</h3>
He bought 2.5 pounds of apples that are x dollars a pound.
Then the expression is 2.5x
And 2 bags of lettuce for y dollars each.
Then the expression is 2y
The total cost is $2.
Then the expression will be
2.5x + 2y = 2
2.5x + 2y - 2 = 0
Thus the equation is 2.5x + 2y - 2 = 0.
More about the linear system link is given below.
brainly.com/question/20379472
Answer:
Step-by-step explanation:
Notice they both have the same slope of 3x so they are parallel, but different y intercepts. This means the lines never intersect and thus there are no solutions to the system of equations.
Factoring out the 1/2 (that is the coefficient of the variable) would require you to divide the equation by one half, which is the same as multiplying by two. After doing this, the answer can be expressed as:
1/2 (d+12)
