Answer:
2/3
Step-by-step explanation:
Less than 5 is 1,2,3,4 and 4 out of 6 is also equal to 2/3
Answer:
-38
Step-by-step explanation:
10 + 28 = 38 so to check it 10- (-38)=28
Answer:
108 units
Step-by-step explanation:
Volume = length × width × height
V = 4 × 3 × 9
V = 108 units
Hello!
To find the maximum value of the function f(x) = -3(x - 10)(x - 4), the easiest way is to find the vertex using the formula: x = -b/2a.
Firstly, we need to simplify f(x).
f(x) = -3(x - 10)(x - 4)
f(x) = -3(x² - 14x + 40)
f(x) = -3x² + 42x + -120
Since the equation f(x) is now simplified to standard form, we can find the vertex.
a = -3, b = 42, and c = -120
x = -(42)/2(-3) = -42/-6 = 7
Then, we substitute 7 into the the function f(x) = -3(x - 10)(x - 4), or
f(x) = -3x² + 42x + -120, to find the y-value of the vertex.
f(x) = -3(7 - 10)(7 - 4)
f(x) = -3(-3)(4)
f(x) = 27
The vertex of f(x) is (7, 27).
Therefore, the maximum x-value for the function f(x) is 7.
Answer:
d
Step-by-step explanation:
Soooo,
d = 2r
(29) = 2r
29/2 = 2r/2
14.5 = r