To convert a quadratic<span> from y = ax</span>2<span> + bx + c form to </span>vertex<span> form, y = a(x - h)</span>2+ k, you use the process of completing the square. Let's see an example. Convert y = 2x2<span>- 4x + 5 into </span>vertex<span> form, and state the </span>vertex<span>.</span>
Answer:
<h2>The fourth graph, from left to right, is the correct answer.</h2>
Step-by-step explanation:
The given piecewise function is

Notice that the domain of the function specifies that, from zero to three, the function represents a decreasing (because the variable is negative) straight line. When the function is defined from 3 to infinite, the function is a constant of 5.
<em>So, the right graph must shows first a decreasing line, where the initial point is solid and the final point is empty, as the fourth fraph (from left to right), then it must show a horizontal line with an initial point solid.</em>
<em />
Therefore, the fourth graph, from left to right, is the correct answer.
Answer: $2.08
Step-by-step explanation:
5.04 divided by 1.08 is 2.08.
Answer:
The margin of error will be "0.65". A further explanation is provided below.
Step-by-step explanation:
The given values are:
n = 343
x = 110
At 99% confidence level,
%


then,


or,


Now,
The point estimate will be:
⇒ 
⇒ 
⇒ 
or,
⇒ 
⇒
The margin of error will be:
⇒ 
On substituting the above values, we get
⇒ 
⇒ 
⇒ 
hence,
⇒ 
⇒ 
⇒ 
Answer:
210 cm³
Step-by-step explanation:
volume = W x L x H
(where W = width, L = length and H = height)
By inspection of the diagram,
W = 6 cm
L = 7 cm
H = 5 cm
Therefore, volume = 6 x 7 x 5 = 210 cm³