There is only one statement that is true: B. The graph of the function is a parabola.
<h3>How to study and interpret the characteristics of quadratic equations</h3>
In this question we have a <em>quadratic</em> equation, whose characteristics have to be inferred and analyzed. We need to prove each of the five choices presented in the statement:
Choice A:
If we know that x = - 10, then we evaluated it at the function:
f(- 10) = (- 10)² - 5 · (- 10) + 12
f(- 10) = 162
False
Choice B:
By analytical geometry we know that all functions of the form y = a · x² + b · x + c always represent parabolae.
True
Choice C:
The <em>quadratic</em> function opens up as its <em>leading</em> coefficient is greater that 0.
False
Choice D:
If we know that x = 20, then we evaluate it at the function:
f(20) = 20² - 5 · (20) + 12
f(20) = 312
False
Choice E:
If we know that x = 0, then we evaluate it at the function:
f(0) = 0² - 5 · (0) + 12
f(0) = 12
There is only one statement that is true: B. The graph of the function is a parabola.
To learn more on quadratic equations: brainly.com/question/1863222
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Answer:
vhtc7g6f
Step-by-step explanation:
v7grauvi5c7v6v7g8h
Hello from MrBillDoesMath!
Answer: The other side has a length of 8
Discussion:
Area of a rectangle = l * w ( length times width). In our case
Area = 144 = l * w = 18 * w =>
18 w = 144 =>
w = 144/18 = 8
Thank you,
MrB
Answer:
-5≤x <1
Step-by-step explanation:
sqrt( x+5) / sqrt(1-x)
The numerator must be greater than zero since it is a square root
sqrt(x+5) ≥0
Square each side
x+5≥0
x≥-5
The denominator must be greater than zero (the denominator cannot be zero)
sqrt(1-x)> 0
Square each side
1-x > 0
1>x
Putting these together
-5≤x <1
You would need four busses
