Answer:
-3 > x > 7
Step-by-step explanation:
Since the domain is the x, there are open circles, and it ends, then x could equal -3 > x > 7
Answer:
y = 10 + 2.50h
$25
Step-by-step explanation:
first the equation is written as such because she pays $10 no matter how many hours she rides. She also pays 2.50 for each hour so use h as the variable to define number of hours she rides the bike.
since equation is y = 10 +2.50h
and h = 6 hours, substitute and find the total cost
y = 10 + 2.50(6)
= 10 + 15
= $25
Answer:
9.6
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
Plug in the knowns
a² + 22² = 24²
Subtract 22² from both sides
a² = 24² - 22²
a² = 576 - 484
a² = 92
Take the square root of both sides
a = 9.591663046625438
Rounded
a = 9.6 ft
We factor the equation to get:
-(x-25)^2+361
In the form a(x-h)^2+k, the vertex is (h, k), so the vertex is (25, 361). This means that the studio makes the most profit from selling 25 memberships, and thus makes 361 dollars.
B. The x-intercepts are the values of x for which f(x) is 0. This equation can be factored as (-a+6)(a-44)=0, with solutions 6 and 44. Therefore, by selling either 6 memberships or 44 memberships, the studio breaks even, neither making nor losing money.
