The correct answer is: 3) " x ; 1/2" .
_____________________________________________________
Explanation:
_____________________________________________________
Question 1)
g [ f(x) ] = ? ;
→ Given: " f(x) = 1/3 x " ;
→ Given: " g(x) = 3x " ;
__________________________________
g [ f(x) ] = g(1/3 x) = 3(1/3 x) = 1x = "x" .
__________________________________
Question 2)
g [ f(1/2) ] = ? ;
__________________________________
→ Given: " f(x) = 1/3 x " ;
→ f(1/2) = (1/3) * (1/2) = (1*1) / (3*2) = (1/6) ;
→ g [ f(x) ] =
g(1/6) = 3* (1/6) = (3/1) * (1/6) = (3*1) / (1*6) = 3/6 = (3÷3) / (6÷3) = " 1/2 " .
___________________________________________________________
Answer:
<h2>C. 323 ft²</h2>
Step-by-step explanation:
1 yard = 3 feet
5yd 2ft = (5)(3)ft + 2ft = 17ft
6yd 1ft = (6)(3)ft + 1ft = 19ft
The formula of an area of a rectangle:
A = wl
w - width
l - length
Substitute w = 19ft and l = 17ft:
A = (19)(17) = 323 ft²
5.7 is 5 7/10 and it cannot be simplified
Step 1: Simplify both sides of the equation.
37
=
−
3
+
5
(
x
+
6
)
37
=
−
3
+
(
5
)
(
x
)
+
(
5
)
(
6
)
(Distribute)
37
=
−
3
+
5
x
+
30
37
=
(
5
x
)
+
(
−
3
+
30
)
(Combine Like Terms)
37
=
5
x
+
27
37
=
5
x
+
27
Step 2: Flip the equation.
5
x
+
27
=
37
Step 3: Subtract 27 from both sides.
5
x
+
27
−
27
=
37
−
27
5
x
=
10
Step 4: Divide both sides by 5.
5
x
5
=
10
5
x
=
2