The vertex is when x=-b/2a, which is also the line of symmetry.
in this case, b=6, a=3, so x=-6/6=-1
when x=-1. y=3-6-1=-4
another way to do it is to write the equation into vertex form by making a square:
3x²+6x-1
3(x²+2x-1/3)
3(x²+2x+1-1-1/3))
3(x²+2x+1-4/3))
notice the bold part makes a square:
3(x+1)²-4
Either way,
the vertex is (-1, -4)
the axis of symmetry is x=-1
the coefficient of x² is 3, a positive number, so this parabola opens upward. the function has a minimum value of y=-4
the range is all real number larger than -4
Answer: Angle 3 and Angle 9
Step-by-step explanation:
Answer: a =3c-15b
b = c/5-a/15
Step-by-step explanation:
The solution to the expressions given are;
9 -9t/ 12 - 5t
a. 20/ 169
b. -170/ 169
c. 386/ 169
d. -10/ 169
<h3>How to solve the expressions</h3>
Given:

We can see that both variables in the numerator and denominator have no common factor, thus cannot be factorized further
a. 
First, let's find the lowest common multiple
LCM = 169
= 
= 
= 20/ 169
b. 
The lowest common multiple is 119
= 
substract the numerator
= - 170/ 119
c. 
The lowest common multiple is 169
= 
= 386/ 169
d. 
The lowest common multiple is 169
= 
= - 10/ 169
Thus, we have the solutions to be 9 -9t/ 12 - 5t, 20/ 169, -170/ 169, 386/ 169, -10/ 169 respectively.
Learn more about LCM here:
brainly.com/question/12732917
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Answer:
3/4(x^2)
Step-by-step explanation:
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