Solve the inequality -3 < 3/2(2-x)<5
1 answer:
You might be interested in
Answer:
the vertex of the parabola is at the point; (5, -1)
which agrees with answer "B" in the list of options
Step-by-step explanation:
Notice that this is the equation of a parabola with branches that open horizontally (not vertically), since the variable the goes squared is the y-variable instead of "x".
By analyzing it we can then write it by isolating the term in "x" on one side of the equation, and use at the same time the fact that it is being written in "vertex" form:
Therefore, the "y-value" of the vertex must be that which renders zero in the expression squared, that is y = -1. On the other hand, the x-value of the vertex is that which renders zero for the variable "x": x=5.
Then, the vertex of the parabola is at the point; (5, -1)
<u><em>Answer:</em></u>
The slope of the line that passes through (-1, -7) and (3, 5) is 3
<u><em>Explanation:</em></u>
<u>The slope of the line is calculated using the following rule:</u>
<u>We are given the following points:</u>
(3 , 5) representing (x₁ , y₁)
(-1 , -7) representing (x₂ , y₂)
To get the slope, we will simply substitute with the givens in the above equation
<u>This is done as follows:</u>
You haven't attached the table for the second part. However, follow the same procedure. Pick two points from the table, substitute with them in the above equation and you'll get the slope
Hope this helps :)