. . . , , ,help please
1 answer:
The system of inequalities of the graph is (a) y > x² + 2x - 3 and y > 2x + 3
<h3>How to determine the inequalities?</h3>The complete question requires that we determine the system of inequalities of the graph (the graph is attached)
Going by the list of options, the equation of the quadratic curve is:
y = x² + 2x - 3
From the graph, we can see that:
- The curve uses a dotted line
- The upper part is shaded
The above means that the inequality is greater than i.e. >
So, we have:
y > x² + 2x - 3
The above eliminates options (b) and (c)
From the graph, we can see that the straight line has a positive slope, a dotted line and the upper part is shaded.
The linear inequality in option (a) has the above characteristics.
So, the inequality is:
y > 2x + 3
Hence, the system of inequalities of the graph is (a) y > x² + 2x - 3 and y > 2x + 3
Read more about inequalities at:
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It is asking you to move the right formula with its match.
Formula for a cylinder: π*R^2*H
So the first option goes to the first shape.
Example:
Radius=5
Length=10
π≈3.14
3.14*5²*10
=725 cm³ for the answer.
Formula for a square: l*w*h
So the 4th option goes with the 2nd shape.
Example: l=5 w=5 h=5
(Length * Width * Hieght)
5*5*5=125 for the answer.
Formula for a cone is: 1/3π*r^2*h
So the second option goes to the 3rd shape.
Example: r=3 h=11
π≈3.14
33 is your answer.
Formula for the pyramid would be: 1/3*b*h
So the 3rd option would go to the 4th shape.
Example:
b=2 h=10
Rounded: 6.6
Hope this helps!~
(Look at the attachment)
Formula for a cylinder: π*R^2*H
So the first option goes to the first shape.
Example:
Radius=5
Length=10
π≈3.14
3.14*5²*10
=725 cm³ for the answer.
Formula for a square: l*w*h
So the 4th option goes with the 2nd shape.
Example: l=5 w=5 h=5
(Length * Width * Hieght)
5*5*5=125 for the answer.
Formula for a cone is: 1/3π*r^2*h
So the second option goes to the 3rd shape.
Example: r=3 h=11
π≈3.14
33 is your answer.
Formula for the pyramid would be: 1/3*b*h
So the 3rd option would go to the 4th shape.
Example:
b=2 h=10
Rounded: 6.6
Hope this helps!~
(Look at the attachment)