Answer:The amplitude:30
so a:-30
the period is:12
so b: pi/6
Step-by-step explanation:
Next step would be 5x10x5
Answer:
f(x)=x-6
Step-by-step explanation:
Given : Parent function : 
To Find : If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?
Solution:
Parent function : 
Shift the given function down by 6 units.
Rule : The graph f(x) shifts down by b units
So, f(x)→f(x)-b
So, Shift the given function down by 6 units.
So, f(x)→f(x)-6
f(x)=x
So, x→x-6
So, the new function is f(x)=x-6
Answer: 294√3
Explanation:
1) The described hexagon has these featrues:
a) 6 congruent equilateral triangles whose side lengths measure 14
b) height of each triangle = apotema = a
c) the area of each triangle is base × a / 2 = 14 × a / 2 = 7a
2) a is one leg of a right triangle whose other leg is 14 / 2 = 7, and the hypotenuse is 14.
3) Then you can use Pythagorean theorem fo find a:
14² = 7² + a² ⇒ a² = 14² - 7² = 147 ⇒ a = √ 147 = 7√3
4) Therefore, the area of one triangle is: 14 × 7√3 / 2 = 49√3
5) And the area of the hexagon is 6 times that: 6 × 49√3 = 294√3
Answer:
x = 1178 games
Step-by-step explanation:
Let the number of games = x
Let the total cost = Tc
Let the total revenue = Tr
Given the following data;
Investment = $10,000
Cost of each game = $1.50
Selling cost = $9.99
Total cost, Tc = (Cost of each game * Number of games) + Investment
Tc = 1.50x + 10000
Total revenue, Tr = Selling cost * Number of games
Tr = 9.99x
Breakeven point is when total cost is equal to total revenue;
Tc = Tr
x = 1177.86 ≈ 1178 games.
<em>Therefore, the number of games that must be sold before the business breaks even is 1178 games. </em>