Answer:
x = 10
Step-by-step explanation:
it has 8 sides so:
total interior angle degrees = (180° x 8 sides) - 360° = 1080°
11x + 14 + 4x + 87 +2x + 70 + 4x + 31 + x + 92 + 3x + 167 + 5x + 48 + 2x + 251 = 1080°
combine like terms:
32x + 760° = 1080°
subtract 760° from both sides of the equation:
32x = 320°
divide both sides by 32:
x = 10
Answer:
$15348
Step-by-step explanation:
i = prt is the simple interest equation
i = 12,000(0.031) = 372
i = 372*9 = 3348
12000+3348 = $15348
Answer:
(9.5k + 12.7m -0.4n) cm
Step-by-step explanation:
(5.9k+9.3m) + (3.6k−3.9n) + (3.5n+3.4m) = 9.5k + 12.7m -0.4n
Answer:
1/2
Step-by-step explanation:
Answer:
A. 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.
Step-by-step explanation:
f(x)=−(x2−60x+900−900)−116
f(x)=−(x−30)2+784
Maximum Profit=784
Vertex is (30, 784)
maximum profit is when x wind-shields are repaired.
−x2+60x−116=0
x2−60x+116=0
x2−2x−58x+116=0
x(x−2)+58(x−2)=0
(x−2)(x−58)=0
x=2,58
x intercepts are x=2, x=58
at these points there is no profit or loss.
