Answer:
The dependent variable is N; Number of Napkins
The independent variable is C; Number of Customers
Step-by-step explanation:
Given
Required
Determine the dependent and independent variable
Dependent variables are variables that standalone and are not influenced by other variables;
In the given parameters
<em>The customers, C is the independent variable</em>
Independent variables are the opposite of the dependent variables; They depend on other variables for their own values.
In the given parameters
<em>The number of Napkin, N is the dependent variable</em>
Answer:
400 passengers
Step-by-step explanation:
To solve the problem, a proportion would be best!
First, let's set up the left side of the proportion. Percents, when used in parts, are always part of 100%, making 100% a whole. We'll use both 10% and 100% as our first fraction, which should look something like this:
(with <em>p </em>standing for <em>part </em>and <em>w</em> standing for the <em>whole</em>)
Next, let's set up the right side of our proportion. We'll use the 40 for our part and x for our whole since that is the number we are solving for. The proportion should now look like this:
To solve, just cross multiply and divide! Multiply 40 by 100 to give you 4,000. Next, divide 4,000 by the remaining 10 to give you a final answer of 400. If 40 passengers on the flight are in first class, then there are 400 total passengers. Hope this helps!
Answer:
True
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, - 9), thus
y = a(x + 4)² - 9
To find a substitute the coordinates of the zero (- 7, 0) into the equation.
0 = a(- 7 + 4)² - 9, that is
0 = 9a - 9 ( add 9 to both sides )
9a = 9 ( divide both sides by 9 )
a = 1, thus
y = (x + 4)² - 9 ← expand factor using FOIL
y = x² + 8x + 16 - 9
y = x² + 8x + 7
