The answer is a. -7
1. Find g(2).
2. Find f(g(2)).
g(x) = x² - 6x - 7
x = 2 ⇒ g(2) = ?
g(2) = 2² - 6·2 - 7 = 4 - 12 - 7 = -15
2. f(x) = x + 8
g(2) = -15
f(g(2)) = f(-15) = -15 + 8 = -7
Answer:it increase
Step-by-step explanation:
If the o=2and e=30you look at the o and see that 45 is more then 2
Answer: Price of Math Textbook= $42.5, Price of the Novel= $11.5
Step-by-step explanation:
Let x = price of the Novel.
Price of Math Textbook = 8+3x
As per given , we have
Price of Math Textbook + Price of the Novel = $54
⇒ 8+3x+x = 54
⇒ 8+4x=54
⇒ 4x = 46 [subtract 8 from both sides]
⇒ x = 11.5
Price of Math Textbook = 8+3(11.5) = 8+34.5= $42.5
Hence, Price of Math Textbook= $42.5, Price of the Novel= $11.5
Answer: 21.44 cm
Step-by-step explanation:
Given
Radius r=15 cm
distance of chord from the center is 10 cm
From the figure, the length of the chord is AC
Applying Pythagoras

The length of the chord is 
That is a 30 60 90 triangle.
Read about those here: http://www.1728.org/trig2.htm