Question 1)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
F(G(x)) = 3(2x - 3)^2 + 1
F(G(x)) =3(4x^2 - 12x + 9) + 1
F(G(x)) = 12x^2 - 36x + 27 + 1
F(G(x)) =12x^2 - 36x + 28
Question 2)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
H -1 (x) = x (inverse)
Answer:
x = 3.7
Step-by-step explanation:
By applying sine ratio for the given angle B,
sin(39°) = 
sin(39°) = 
0.6293 = 
AD = 4.41
By applying tangent ratio for the given angle C,
tan(50°) = 
1.19 = 
1.19 = 
x = 3.7
In conditional form, the hypothesis is "if they live in key west" and the conclusion is "then they live in florida"
Step-by-step explanation:
1.5 mi = 2 and 1/4 min
In 43 minutes:
43 ÷ 2.15 = 20 2.15 = 2 and 1/4 min
Now you have to multiply 1.5 by 20
1.5 x 20 = 30
In 1 hour (60 minutes):
60 ÷ 2.15 = 27.9
Now you have to multiply 1.5 by 27.9
1.5 x 27.9 = 41.85
Hope this was helpful :)
Answer:
m = 7
Step-by-step explanation:
2m + -4 = 10
Reorder the terms:
-4 + 2m = 10
Solving
-4 + 2m = 10
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 2m = 10 + 4
Combine like terms: -4 + 4 = 0
0 + 2m = 10 + 4
2m = 10 + 4
Combine like terms: 10 + 4 = 14
2m = 14
Divide each side by '2'.
m = 7
Simplifying
m = 7
