Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range. y=-0.5x^2+0.7x-5.1
2 answers:
Answer:
The domain of the equation is all real number and the range of the equation is (-∞,-4.885].
Step-by-step explanation:
The given quadratic equation is
Use a graphing calculator to sketch the graph of the quadratic equation.
The graph of given quadratic equation is shown below.
From the graph it is clear that it is a downward parabola and the vertex of the parabola is (0.7,-4.885).
The function is defined from all values of x, therefore the domain of the function is all real number.
The vertex of the parabola is (0.7,-4.885). It means the maximum value of the function is -4.885 and the value of y cannot be more than -4.885.
So, the range of the function is
Therefore the domain of the equation is all real number and the range of the equation is (-∞,-4.885].
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The surface area of the triangular prism is: B. 72 sq. ft
<h3>Surface Area of a Triangular Prism</h3>- The surface area of a triangular prism is given by the formula: SA = bh + (s1+s2+s3)H
- Where, b is the base, h is the height, and s1+s2+s3 is the perimeter of the triangular base, H is the length of the prism.
Thus, given the triangular prism as shown in the diagram attached below, we have the following:
b = 4 ft
h = 3 ft
H = 5 ft
s1 + s2 + s3 = 3 + 4 + 5 = 12 ft
- Plug in the values
Surface area = 4×3 + (12)5 = 12 + 60 = 72
Therefore, the surface area of the triangular prism is: B. 72 sq. ft
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