Answer:
r=8 ft
Step-by-step explanation:
V/6π=r2
r=√v/6π
r=√1206 cubic feet/6π
r=8 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.
Answer:
discriminant is zero (0)
Step-by-step explanation:
Actually, you have a double root here: {6, 6}: "two real, equal roots." That tells us immediately that the value of the discriminant was zero (0).
Answer:
x = 9/11
Step-by-step explanation:
x + 5 = 12x - 4
Subtract x from both sides
x + 5 - x = 12x - x - 4
5 = 11x - 4
Add 4 to both sides
5+ 4 = 11x - 4 + 4
9 = 11x
Divide both sides by 11
9/11 = 11x/11
9/11 = x
x = 9/11
Answer:
c. S'(3, 1), T'(1, -1), U'(0, 1)
Step-by-step explanation:
Reflection across the y-axis negates the x-coordinate, so is equivalent to the transformation ...
(x, y) ⇒ (-x, y)
Reflection across the horizontal line y=c is equivalent to the transformation ...
(x, y) ⇒ (x, 2c-y)
So, the combined reflections are equivalent to the transformation ...
(x, y) ⇒ (-x, 4 -y)
Then we have ...
S(-3, 3) ⇒ S'(-(-3), 4-3) = S'(3, 1)
T(-1, 5) ⇒ T'(-(-1), 4-5) = T'(1, -1)
U(0, 3) ⇒ U'(-(0), 4-3) = U'(0, 1) . . . . matches choice C
