11. Tickets to a football game were $5 for
1 answer:
Answer:
The number of children that attended the game was 365
Step-by-step explanation:
Let
x ----> the number of children that attended the game
y ---> the number of adults that attended the game
we know that
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
The solution is the point (365,222)
see the attached figure
therefore
The number of children that attended the game was 365
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The volume of the region R bounded by the x-axis is:
The volume of a solid is the degree of space occupied by a solid object. If the axis of revolution is the planar region's border and the cross-sections are parallel to the line of revolution, we may use the polar coordinate approach to calculate the volume of the solid.
In the graph, the given straight line passes through two points (0,0) and (2,8).
Therefore, the equation of the straight line becomes:
where:
- (x₁, y₁) and (x₂, y₂) are two points on the straight line
Thus, from the graph let assign (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 8), we have:
y = 4x
Now, our region bounded by the three lines are:
- y = 0
- x = 2
- y = 4x
Similarly, the change in polar coordinates is:
- x = rcosθ,
- y = rsinθ
where;
- x² + y² = r² and dA = rdrdθ
Now
- rsinθ = 0 i.e. r = 0 or θ = 0
- rcosθ = 2 i.e. r = 2/cosθ
- rsinθ = 4(rcosθ) ⇒ tan θ = 4; θ = tan⁻¹ (4)
- ⇒ r = 0 to r = 2/cosθ
- θ = 0 to θ = tan⁻¹ (4)
Then:
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Answer:
Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
It's been given the vertex of the parabola as (-2,18):
Now substitute the point (-5,0) and find the value of a:
Operating:
Solving for a:
a = -2
Thus, the equation of the quadratic function is: