Answer:
Ok:
Step-by-step explanation:
So f°g . means f(g(x)). (The ° should be more center and bigger but I don't know to do that on a keyboard). f(g(x)) means that you replace the x in f(x) with the g(x) function. i.e:
if f(x) = 2x+2
and g(x) = 
f(g(x)) =
.
Similarly, in this case, we get f(x) = 2x-3 and g(x) = 3x-2.
Then, f(g(x)) or f°g(x) is 2(3x-2) - 3.
And we plug in -2 to solve:
2(3(-2)-2)-3.
and get -19.
Check if I am wrong because everyone makes mistakes but that is the way to solve this.
Is the x in between the 5 and 6 supposed to be a multiplication symbol?<span />
Answer:
Then the total area is 116 cm^2 which agrees with answer D
Step-by-step explanation:
Notice we need to calculate the area of two rectangles (one larger at the bottom and a smaller one on top)
The Area of a rectangle is the product: base x height
In our case :
Area of Big rectangle = 12 cm x 7 cm = 84 cm^2
Area of smaller rectangle = 8 cm x 4 cm = 32 cm^2
Then the total area is: 84 cm^2 + 32 cm^2 = 116 cm^2
Answer: The volume is 120
.
Step-by-step explanation:
-The volume formula for a triangular prism is:
(Height × Base × Length) /2
-So, you put the height, base, and length:
(4 × 6 × 10)
-Then, you solve:
(4 × 6 × 10)
(24 × 10)
240
-Divide 240 by 2:
240 ÷ 2
120
Therefore, the volume of a Triangular Prism is
.