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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Y=4^4-100=16-100=-84
Result is -84
Answer:
Using distribute property
0.5(8a)(a) + 0.5(6b)(a) + 4b
4a^2 + 3ab + 4b
Step-by-step explanation:
Answer:
The series
1 -0.5-2-3.5 -5-6.5-8-9.5-11-12.5-14-15.5 upto 12 terms
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given series 1 -0.5 -2 +.........
we know that the sum of the sequence is called a series
The sequence is 1, -0.5, -2, -3.5,.....is in AP
a = 1 and the difference between the two terms is equal 'd' = -1.5
<u><em>Step(ii):-</em></u>
<u><em>adding 1.5 value of each term</em></u>
The series
1 -0.5-2-3.5 -5-6.5-8-9.5-11-12.5-14-15.5 upto 12 terms
<u><em></em></u>
Answer:
y = 9
Step-by-step explanation:
The triangle is a 45-45-90 triangle. The legs are congruent, therefore y = 9
