Answer:
Step-by-step explanation:
g(x) = 3x + 5
g(3) = 3(3) + 5
g(3) = 9 + 5
g(3) = 14
-----------------------
f(x) = 2x² + 3
f(g(3)) = 2(g(3)) + 3
f(14) = 2(14²) + 3
f(14) = 2(196) + 3
f(14) = 392 + 3
f(14) = 395
-----------------------------
f(g(3)) = 395
The area of a sector is 339.336 cm²
The area of a sector is defined to be as the region of space bounded by a boundary from the center of the circle.
It can be determined by using the formula:
Given that;
- Radius r = 18 cm
- Angle θ = 120°
Then. the area of the sector can be calculated as:
A = 339.336 cm²
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Answer:
19th day
Step-by-step explanation:
So say Lily was 1 when Lily was planted
First day Lily is 2
Second day Lily is 4
Third day Lily is 8
etc...
See the pattern?
The pattern is 2^x
On the 20th day, Lily was 2^20
So when Lily was half, Lily was 2^20 / 2
2^x = 2^20 / 2
2^x = 2^19
On the 19th day, Lily was half.
Using the first derivative test, it is found that the graph is increasing on the interval is (-5, ∞).
<h3>What is Function?</h3>
A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.
Here, the function is given by:
f(x) = x²/2 + 5x + 6
On differentiating both sides, with respect to x we get
f'(x) = x + 5
Then, we test the signal of the derivative, which is the first derivative test.
x + 5 ≥ 0
x ≥ -5
Thus, It is found that the Function is increasing on the interval is (-5, ∞).
Learn more about Function from:
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