Answer:
I'm pretty sure that your answere would be B.have a good day!
Answer
The vertex is at point (-3, -1)
The axis of symmetry is x = -3
Explanation
We are asked to find the vertex and axis of symmetry of the equation given.
f(x) = x² + 6x + 8
The vertex of a quadratic equation is the point where the graph of the quadratic equation changes from sloping negatively to sloping positively and vice-versa.
The axis of symmetry represents the straight line that divides the graph of the quadratic equation into two mirror parts that are similar to and are mirror images of each other. This axis of symmetry usually passes through the vertex.
To find the vertex, it is usually at the turning point where the first derivative of the quadratic equation is equal to 0.
(df/dx) = 0
f(x) = x² + 6x + 8
(df/dx) = 2x + 6
At the vertex
(df/dx) = 2x + 6 = 0
2x = -6
Divide both sides by 2
(2x/2) = (-6/2)
x = -3
We then insert this into the equation to get the corresponding f(x) value.
f(x) = x² + 6x + 8
f(-3) = (-3)² + 6(-3) + 8
= 9 - 18 + 8
= -1
Hence, the vertex is at point (-3, -1)
And since the axis of symmetry has to pass through the vertex,
The axis of symmetry is x = -3
Hope this Helps!!!
Answer: 1
Step-by-step explanation:
The given point shows -, and the absolute value of that is the distance the number is to 0 and the distance is 1
Answer is 1/12
Two ways to work this.
1) divide each of the given portions into 20 parts and add the resulting fractions.
.. (1 2/3)/20 = 1/20 + (2/3)*(1/20)
.. = 1/20 + 1/30
.. = 3/60 + 2/60
.. = 5/60 = 1/12
2) convert 1 2/3 to an improper fraction and divide by 20.
.. (1 2/3)/20 = (5/3)*(1/20)
.. = (5*1)/(3*20)
.. = 5/60 = 1/12
Answer:
$12.50
Step-by-step explanation:
take $250 and divide by 20