G(x)=2x-9
g(6)=2x-9
g(6)=2(6)-9
g(6)=12-9
g(6)=3
Answer: 4d + 6c - 6
Step-by-step explanation: The perimeter of the rectangle is the sum of all 4 sides
perimeter = 2d - 3 + 3c + 2d - 3 + 3c = 4d + 6c - 6
The answer would be the first choice. 
Explanation: The reason for this is that the question was pretty much just asking what the area of the resulting two-dimensional cross section would be -the shape in gray- (which can be found by using the formula 
. To add on, since the dimensions of the shape are already given (5 and 3) all you've to do is multiply: 3*5=15
That's how you get to the answer.
Answer: 2 and 1/10
Step-by-step explanation: To subtract mixed numbers, we first subtract the fractions.
Notice that 1/2 and 2/5 are unlike fractions so we need a common denominator which in this case is 10. <em>If you need a review on how to find the common denominator for these fractions, let me know in the comments below and I will be more than happy to explain</em>.
To get a 10 in the denominator of 1/2, we multiply the numerator and the denominator by 5 to get 5/10. To get a 10 in the denominator of 2/5, we multiply the numerator and denominator by 2 to get 4/10.
So we have 4 and 5/10 - 2 and 4/10.
Subtracting the fractions, 5/10 - 4/10 is 1/10 and subtracting the whole numbers, 4 - 2 is 2. So 4 and 1/2 - 2 and 2/5 is 2 and 1/10.
-2x + 5 = -1
subtract 5 from both sides: -2x = -6
divide each side by -2: x = 3
plug in 3: 5(3)
multiply: 15
the value of 5x is 15.
