You could do 33, 36, 39, 42
Answer:
- y-intercept: 58
- vertex: (2, 78) -- a maximum
Step-by-step explanation:
The negative leading coefficient tells you this parabola opens downward, so the vertex will be a maximum. The constant is the y-intercept, which is 58.
__
The vertex is nicely found using a graphing calculator, but can also be found algebraically. The x-value is ...
x = -b/(2a) = -19.8/(2·(-4.9)) = 19.8/9.8 = 99/49 ≈ 2.02041
The value of f(99/49) is ...
f(99/49) = (-4.9(99/49) +19.8)(99/49) +58 = (9.9)(99/49) +58 ≈ 78.002
The location of the vertex is approximately ...
(x, y) ≈ (2.0204, 78.002) ≈ (2, 78)
The average price for the event is $6.66
Answer:
19.26%
Step-by-step explanation:
Given the original selling price of DVD player as $179.30 and the new sale price to be $144.77, the the first step in finding the percent markdown is to take the difference between the original selling price and the sale price to give $179.30 - $144.77 = $34.53
Percent markdown = original selling price- new sale price/original selling price × 100%
Percent markdown = $34.53/$179.30 × 100%
% markdown = 19.26%
Let's see:
![\frac{5}{9}.(f - 32) = c](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D.%28f%20-%2032%29%20%3D%20c)
9 is the denominator, if we pass it to the other side it will be as multiplication.
![5.(f - 32) = 9c](https://tex.z-dn.net/?f=5.%28f%20-%2032%29%20%3D%209c)
Now, if we pass 5, the numerador, it will go as denominator.
![f - 32 = \frac{9}{5}.c](https://tex.z-dn.net/?f=f%20-%2032%20%3D%20%5Cfrac%7B9%7D%7B5%7D.c)
Now just add 32 in both sides
![f - 32 + 32 = \frac{9}{5}.c + 32](https://tex.z-dn.net/?f=f%20-%2032%20%2B%2032%20%3D%20%5Cfrac%7B9%7D%7B5%7D.c%20%2B%2032)
![f = \frac{9}{5}.c + 32](https://tex.z-dn.net/?f=f%20%3D%20%5Cfrac%7B9%7D%7B5%7D.c%20%2B%2032)
Ok, this is the formula to discover the temperature in fahrenheit, now let's see the procedures:
A - Multiply both sides of the equation by 9/5, ok
Ad 32 to both sides of the equation, ok
B - Multiply 50 by 9, ok
Divide the answer by 5, ok
Add 32, ok
So both procedures will give the correct temperature.