Answer:
f(x):

g(x)

Step-by-step explanation:
When a function is of the form:

The equation of the axis of symmetry is

The given function is

We can see that h=-4
Hence the equation of axis of symmetry is

From the graph, the axis of symmetry of h(x) is the vertical line that divides the parabola into two congruent halves.
This line is

Answer:
{x ∈ R: x<6}
Step-by-step explanation:
Given
- x is a real number
- x is less than 6
Required
Write the set using set builder notation
The very first thing to do is to list out the range of x, using inequalities;
x is less than 6 implies that -infiniti < x < 6
The next step is to translate this to set builder. This is done as follows
x ∈ R - > This means that x is a real number
x < 6 -> where x is less than 6.
Bringing these two together, it gives:
{x ∈ R: x<6}
Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation
Answer:
She can make 9 uniform tops from the material left.
Step-by-step explanation:
Given:
Yards of material left on the bolt = 
Material requirement for a uniform top for band members = 
To find the number of tops that can be made from the material left.
Solution:
In order to find the number of tops that can be made from
yards of material, we need to divide
by
.
Number of uniform tops that can be made is given as:
⇒ 
We first convert mixed number to fractions.
⇒ 
To divide fractions the fractions are multiplied after flipping the divisor.
⇒ 
⇒ 
⇒ 9
Thus, she can make 9 uniform tops from the material left.
<span>The answer is 500 Because if you $2,000 +$9,000 = 11,000
11,000 - 10,000 - 500 = 500
Do you understand? hope this helped :)</span>