<h2>
Answer: g(f(2)) = 11</h2>
Step-by-step explanation:
g(f(2)) is substituting the value of f(2) for x in g(x). But we must first find f(2).
We know that f (x) = ax² - 12
Since f(3) = 24
⇒ a(3²) - 12 = 24
9 a = 36
a = 4
∴ f(2) = (4)(2²) - 12
= 4
⇒ g(f(2)) = 2(4) + 3
= 11
Answer:
Width: 10 inches
Length: 15 inches
Step-by-step explanation:
Let the width be w.
Since the length is 5 inches longer than its width, the length = w +5.
Area of rectangle = length x width
w (w +5) = 150
w^2 + 5w = 150
w^2 + 5w -150 = 0
Using quadratic formula,
w = 10 or -15
Since the width cannot be negative,
the width is 10 inches.
Now just substitute w=10 into length = w +5.
length = 10 + 5
= 15 inches
The answer is 155 because 124/4 is 31 so the average rate of change is 31 so multiply by 5 and it gives you 155
Answer:
4a)= 2.1m 4b)= 1.9 m 5)= 29.6º
Step-by-step explanation:
4a):
x is the opp
AB is the hyp
BC is the adj
thus,
sin32 = x/4
cross multiply, x= 4*sin32
x= 2.1196.......
x=2.1 m
4b).
x is the hyp
ac is the opp
bc is the adj
thus,
cos65=4.5/x
cross multiply, x= 4.5*cos65
x=1.9017....
x=1.9 m
5).
AB is the opp
bc is the adj
ac is the hyp
thus:
tanC= 2.1/3.7
C= tan^-1 (2.1/3.7)
C= 29.5778.....
C= 29.6º
