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:
It will take her 13 hours
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Answer:
-9(2p+1)
Step-by-step explanation:
-18p - 9
find the GCF (greatest common factor) for the expression.
-9
then, divide each term by the GCF
-18p / -9 -9 / -9
= 2p = 1
next, put the two terms you get when dividing into the final form of the answer:
GCF on the outside and quotients on the inside
-9(2p+1)
hope this helped! ;)
Hello from MrBillDoesMath!
Answer:
Choice B ( (x+6)/5) )
Discussion:
y = f(x) = 5x - 6
To solve for the inverse of f, replace "y" by "x" and "x" by "y" in the original equation. That is, solve for "y" in
x = 5y -6 => add 6 to both sides
x + 6 = 5y => divide both sides by 5
y = (x+6)/5
"y" above is the inverse, which is Choice B
Thank you,
MrB
Answer:
(1,2)
y=2
x=1
Step-by-step explanation:
x+y=3
3x+5y=13
solve the equation
x=3-y
3x+5y=13
substitute the value of x into an equation
3(3-y)+5y=13
distribute
9-3y+5y=13
add -3y to 5y
9+2y=13
subtract 9 from both sides
2y=4
divide both sides by 2
y=2
substitute the value of y into an equation
x=3-2
subtract 3 to 2
x=1
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(1,2)
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