28, because 150/7 is about 21 and 28 is the closest answer. I would need more info for it to be a definite answer but that is what I would choose. Hope I helped!
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:
A household equivalence scale allows for transforming the income in an n-member household into an equivalent one-adult-member household.
Answer:
see below
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10 = 10 cards
9 of them have 1 digit on them ( 10 has 2 digits)
P( 1 digit) = number with 1 digit) / total = 9/10
P( not have 1 digit)= number not with 1 digit) / total = 1/10
The answers are 35 al of them it shows in pagers 35 and 4000
