Part A
We have
. To solve for the x-intercept, we set f(x) equal to 0. That is
Take the square root of both sides,
The x-intercept is (-2,0).
To solve for the y-intercept, we set x=0. That is
The y-intercept is (0, 8)
The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is
(-3, -1).
Part B.
We have
.
Factor out -2
Complete the square
Simplify
Part C
We have
.
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.
Answer:
4d (the variable is usually x, though).
Step-by-step explanation:
Because 4 x the amount of fish in each tank = total amount of fish
Focus on triangles DFC and DFE:
- They are both right triangles because DF is perpendicular to EC
So, the two triangles are congruent. It follows that CF=FE, and in particular
And since x=3, the length of EF is
Find 20% of 45.80
0.20 * 45.8 = 9.16
So they should leave $9.16 for the tip.
Answer:
A) 60π cm³
Step-by-step explanation:
Given:
The<u> radius </u>of the base of a metallic rod is<u> 2 centimetres</u>, and its<u> height is 15 centimetres.</u>
Question asked:
What is the<u> volume </u>of this cylinder?
<u>Solution</u>:
As we know''
Therefore, the volume of this cylinder will be