The composite function 
works like this:
- Take a number
as input - Evaluate h(x) = 3x. Let's call this output z.
- Evaluate g(x) = 1/(z+2)
So, if we substitute back z = 3x, the final output is 1/(3x+2). We know that the denominator of a fraction can't be zero, so we must impose
The surface area of the square prism is 115 square inches
<h3>surface area of a pyramid</h3>
The surface area of a pyramid is equivalent to the sum of the faces of the pyramid
For the given square pyramid;
TSA = (5*5) + 4(1/2 * 9 * 5)
Simplify to have;
Surface area =25 + 4(45/2)
Surface area = 25 + 180/2
Surface area = 25. + 90
Surface area = 115 square inches
Hence the surface area of the square prism is 115 square inches
Learn more on surface area here: brainly.com/question/20771646
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The slope of the line is 6/2 because if you start at the first point you go over 6 in the x direction (right) and then you have to go up in the y direction (up)
Answer:
Step-by-step explanation:
The answer: " x = 68, y = 72 " .
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Explanation:
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46 + (x - 3) + (y - 3) = 180 .
46 + 1(x - 3) + 1(y-3) = 180 .
46 + 1x - 3 + 1y - 3 = 180 .
46 - 3 - 3 + 1x + 1y = 180 .
40 + x + y = 180 ;
Subtract "40" from EACH SIDE of the equation:
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40 + x + y - 40 = 180 - 40 ;
to get:
x + y = 140 ;
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Now:
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65 = (x - 3) ;
↔ x - 3 = 65 ;
Add "3" to EACH SIDE of the equation;
x - 3 + 3 = 65 + 3 ;
to get:
x = 68 .
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Now:
Since: "x + y = 140" ;
Let us plug in our known value, "68" ; for "x" ;
to solve for "y" ;
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x + y = 140 ;
68 + y = 140 ;
↔ y + 68 = 140 ;
Subtract "68" from EACH SIDE of the equation; to isolate "y" on one side of the equation; and to solve for "y" ;
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y + 68 - 68 = 140 = 68 ;
y = 72 .
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So, solve for "x" and "y".
x = 68, y = 72 .
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