In order to determine the vertex of this, you can complete the square. To do that, first set the equation equal to 0, then move the -35 over to the other side by adding. That gives us
. Now we can complete the square. Do this by taking half of the linear term, squaring it, and adding it in to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. So we add 1 to both sides, creating something that looks like this:
. We will do the math on the right and get 36, and the left will be expressed as the perfect square binomial we created by doing this whole process.
. Now move the 36 over by subtraction and set it back to equal y and your vertex is apparent. It is (1, -36). You find the x-intercepts when y = 0. That means you need to set your original equation equal to zero and factor it. The easiest, surest way to do this is to use the quadratic formula. Doing that gives us x values of 7 and -5. And you're done!
Answer:
30
Step-by-step explanation:
i promise this is the answer i go to k12 and got the answer correct
Answer:
The width is independent, w, and the length is dependent, 2w - 5. If discussing the area then the independent is w and the dependent is Area for A = (2w-5)(w).
Step-by-step explanation:
On a graph called the coordinate plane, there are two axis. The horizontal axis is the x-axis and is known as the independent variable. A great example of an independent variable is time. Time is always represented on the x-axis because time passes by. It does not depend on anything.
The other axis is the y-axis. It is the vertical axis on the graph. It is called the dependent variable because its value depends on x. For example, if you were looking at miles per hour, the number of miles would depend on how many hours you traveled. You have to know the time to find miles. This is a dependent variable.
Here w can be anything and it affects what the length 2w - 5 will be. It determines it because it is part of the expression. The independent variable is w and the dependent variable is the length 2w - 5. If discussing the area then the independent is w and the dependent is Area for A = (2w-5)(w).
Answer:
c 44
Step-by-step explanation:
