Answer: C (third choice)
Step-by-step explanation:
Square roots cannot hold negative x values as it will create an imaginary number.
Therefore the starting value of x must be starting at 0 and then moving to infinity
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Answer:
a) (-5±√10)/3 ≈ {-2.721, -0.613}
b) (6±√21)/5 ≈ {0.283, 2.117}
Step-by-step explanation:
a) The relevant coefficients are ...
a = 3, b = 10, c = 5
__
b) The relevant coefficients are ...
a = 5, b = -12, c = 3
Answer:
Step-by-step explanation:
So we start with the given expression:
First, we distribute the negative:
Then, we can combine like terms:
This is our final answer.
Answer:
20 yards
Step-by-step explanation:
You have to take 
of 120, giving you 20.
To answer this question you need to transform the given equation of the parabola to the vertex form.
You do that in this way:
y = -16x^2 + 32x + 3
Extract common factor - 16 for the first two terms
y= -16(x^2 -2x) +3
Complete a perfect square
y = -16 (x -1)^2 +16 +3 = -16 (x -1)^2 + 19
Which using f(x) = x^2 is -16[f(x-1)] +19
That means that you use these steps:
1) shift f(x) one unit to the right,
2) reflect it over the x-axys, due to the negative sign in front of 16 (this changes the parabola from open up ward to open down ward)
3) multiply by the factor 16 (this stretches the graph)
4) shift the graph19 units up.
