We have the following function that is a
quadratic function:So the graph of this function is shown in the figure below. This is a <em>parabola</em> as you can see. The roots of this functions, that is, the x-intercepts are:
As you can see in the figure. This function decreases from
and increases from
Finally, another thing we can see from the graph is that the vertex is the point:
To make that graph you follow these steps.
1) Set the cartesian coordinate system:
- vertical axis: y
- horizontal axis: x
- positive x-semi axis: to the right
- negative x-semi axis: to the left
- positive y-semi axis: upward
- negative y semi axis: dwonward
2) solve the inequality for y:
given: -2x + 5y > 15
transpose-2x: 5y > 15 + 2x
divide by 5: y > 3 + (2/5)x
3) Graph-
draw the line y = 3 + (2/5)x, using a dotted line (i.e. - - - - - -)
- remember that 3 is the y intercept, and 2/5 is the slope
- the line is dotted because
the solution does not include the points in the line.
- the solution is the
region above and to the left of the dotted line.
4) See the
figure attached for better visualization: the pink region is the solution of the inequality.
Answer:
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
Step-by-step explanation:
VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV
- Its key to copying a specified line is to open your beacon to the length of both the section, then use that amount of entrance to label off another section of the same length.
- To bisect a segment or angle means to divide it into confocal scanning parts. A line segment's bisector would then pass thru the midpoint of its segment.
- Once copying a segment as well as bisecting a section, its Draw a ray including one end-point step will be the same.
- So if copying a line and bisecting a line segment, this same needle of both the compass is placed mostly on-line segment's end.
- Therefore, the "Draw a ray with one endpoint" choices are correct, and the other choices were incorrect.
Learn more:
brainly.com/question/1581615
Turn the fractions into decimals by dividing the top number by the bottom number, then multiply that by 100 to make it a percentage:
34/40 = 0.85 x 100 = 85%
20/25 = 0.80 x 100 = 80%
53/60 = 0.883 x 100 = 88.3%
The Last one is the highest percentage, so 53/60 is the best score.