It seems that the four graphs are the same and they do not have a negative change rate in the interval 0 to 2 in the x-axis.
A negative change rate means that when x increases the value of the function (y) decreases; this is, the function is decreasing in the interval being estudied, which is the same that going downward.
So, you must look for in your graphs where the equation is going downward.
For example, in the graph attached, that happens in any interval from negative infitity to 1.5.
The vertex will help you to identify it.
Given that the graph goes downward from negative infinity to the vertex, any interval that includes that range will have negative change.
You must look for a parabola that opens upward and whose vertex is in x = 2.
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Answer:
a=21.1
Step-by-step explanation:
You can use the given (incorrect) equation and fill in the value of t to find h:
h = 12.5 +9sin(750(3.5)) = 3.68 . . . . feet
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Or, you can use the correct equation, or just your knowledge of revolutions:
h = 12.5 +9sin(750(2π·3.5)) = 12.5 . . . . feet
in 3.5 minutes at 750 revolutions per minute, the propeller makes 2625 full revolutions, so is back where it started — at 12.5 feet above the ground.
Answer:
168 cm³
Step-by-step explanation:
The base of the prism is a right triangle whose hypotenuse is 10 cm and one other side is 6 cm.
So, the third side of the triangle =
cm.
{Since we have applied the Pythagoras theorem.}
Hence, the area of the base triangle is
cm².
Therefore, the volume of the prism is =
cm³ {Since volume of a prism is given by ( Area of the base triangle ) × ( Height of the prism )}
(Answer)
Since the League itself is 90 games, and we know that each team will play each other twice, The equation can be written as:
90÷2
♡There are 45 teams in the basketball league.♡
Answer:
240 inches squared.
Step-by-step explanation:
To find the surface area, find the area of each triangle and the square. Then add all the areas together.
Triangle - A = 1/2bh where b = 8 and h = 11. So the area of 1 triangle is A = 1/2*8*11 = 44. Since there are 4 triangles then 4*44 = 176 inches squared.
Square - A = s^2 where s = 8. So the area of the square is A = 2^2 = 8^2 = 64.
So all the areas add together to 176 + 64 = 240.