I think between B and C I think B is better
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you need to plug your g(x) into the function f(x)
f(g(x))= 9(-x+3)-2, then you just distribute the 9 to set in the parentheses
f(g(x))= -9x+27-2, then finally you combine your like terms to get
f(g(x))= -9x+25
Answer:
tan(B)
Step-by-step explanation:
we know that
The tangent of an angle is equal to divide the opposite side to the angle by the adjacent side to the angle
In this problem
tan(B)=AC/AB
substitute
tan(B)=8/15
Answer:
63 pounds
Step-by-step explanation:
Given data
Quantity of meat= 18 pounds
TIme taken= 2 hours
Rate= Quantity/Time taken
Rate= 18/2
Rate= 9 pounds per hour
Now time= 7 hours
Rate= 9 pounds per hour
Quantity= Rate*Time
Quantity= 9*7
Quantity= 63 pounds
Answer:
Step-by-step explanation:
Remark
The two trains are travelling towards each other. That means that their total distance = 912 km. Neither one has gone that distance by itself. The effect this has on the question is that you add the two rates multiplied by time.
Givens
r1 = x
r2 = x + 12
t = 3 hours
d = 912 km
Equation
d = r * t
r1 * t + r2 * t = 912
Solution
3x + 3*(x + 12) = 912 Remove the brackets
3x + 3x + 36 = 912 Combine like terms
6x + 36 = 912 Subtract 36 from both sides
<u> -36 -36</u>
6x = 876 Divide both sides by 6
6x/6 = 876/6
x = 146 km/h
Answer
Slow train = 146 km/hr
Fast train = 146 + 12 = 158 km/hr
