Answer:
<u>D) (f o g)(x) = 10x² - 60x + 93</u>
Step-by-step explanation:
f(x) = 10x² + 3
g(x) = x - 3
⇒ (f o g)(x)
⇒ f(x - 3)
⇒ f(x - 3) = 10(x - 3)² + 3
⇒ f(x - 3) = 10(x² - 6x + 9) + 3
⇒ f(x - 3) = 10x² - 60x + 90 + 3
⇒ <u>(f o g)(x) = 10x² - 60x + 93</u>
Answer:
24s^2, 54s^2, 96s^2
Step-by-step explanation:
Let s represent the initial side length of the cube. Then the area of each face of the cube is A = 6s^2 (recalling that the area of a square of side length s is s^2).
a) Now suppose we double the side length. The total area of the 6 faces of the cube will now be A = 6(2s)^2, or 24s^2 (a 24 times larger surface area),
b) tripled: A = 6(3s)^2 = 54x^2
c) quadrupled? A = 6(4s)^2 = 96s^2
Answer: 7
Step-by-step explanation:
Here the given inequality that shows the number of humming birds(H) and the number of sunbirds(S) that must pollinate the colony so it can survive until next year,
6 H + 4 S > 74
If This year, 8 hummingbirds pollinated the colony.
By putting H=8 in the above inequality,
We get,
6× 8 + 4 S > 74
⇒ 48 + 4 S > 74
⇒ 4 S > 26
⇒ S > 6.5
Hence the least number of sunbirds is 7.