Answer:
17/6
Step-by-step explanation:
Start off with
2 1/8 * 2 6/9
Convert mixed number into improper fraction
17/8
reduce fraction with 3
17/8 * 2 * 2/3
Reduce numbers with GCD 2
17/4 * 2/3
Repeat
17/2 * 1/3
Multiply fractions
17*1/2*3
You then get...
17/6!
[Alternative forms: 2 5/6, 2.83]
Answer:
78cm
Step-by-step explanation:
d = 10
area of a circle = πr^2
22/7 × 5 × 5
78.5cm
Answer:
(1.5,2.5)
Step-by-step explanation:
f(x) = 2x^2 - 6x + 7
Take the first derivative and set it equal to 0 (the slope is 0 at the vertex)
f'(x) = 4x -6
0 = 4x - 6
4x = 6
x = 3/2 or 1.5
If x = (3/2), then y = 2(3/2)^2 - 6(3/2) + 7
y = 2(9/4) - 18/2 + 7
y = (9/2) - 2
y = 2.5
See attached graph.
Answer: OPTION C.
Step-by-step explanation:
Given a function f(x), the range of the inverse of f(x) will be the domain of the function f(x) and the range of the domain of f(x) will be the range of the inverse function.
For example, if the point (2,1) belongs to f(x), then the point (1,2) belongs to the inverse of f(x).
Observe that in the graph of the function f(x) the point (-3,1) belongs to the function, then the point (1,-3) must belong to the inverse function.
Therefore, you need to search the option that shown the graph wich contains the point (1,-3).
Observe that the Domain f(x) is (-∞,0) then the range of the inverse function must be (-∞,0).
This is the graph of the option C.
27.5, because 27.5-3=24.5 and 24.5x2= 49