Answer:
12x + 2
Step-by-step explanation:
To find what the expression equals, you can collect like terms. This means to do the operations (add or subtract) the numbers that have the same variables.
(8x + 5) + (4x - 3) Remove brackets to add a binomial (2-term brackets)
= 8x + 5 + 4x - 3 Collect like terms
= 8x + 4x + 5 - 3 I rearranged so you can see which terms are alike
= 12x + 5 - 3 Collected like terms with "x" (8x + 4x = 12x)
= 12x + 2 Collected like terms with no variables (5 - 3 = 2)
Therefore (8x + 5) + (4x - 3) is equal to 12x + 2.
If you want, you can also find another equal expression by factoring. Since "12x" and "2" are both divisible by the factor 2, you can <em>take it out</em> and put the other numbers in a bracket.
12x + 2
= 2(12x/2 + 2/2)
= 2(6x + 1) This is equal, but in factored form.
Answer:
Width=20 feet
Since Length=Width=20 feet, the rectangle is a Square.
Step-by-step explanation:
Area, 
To determine the width of the rectangle that gives the maximum area, we take the derivative of A and solve for its critical point.

The width of the rectangle that gives the maximum area =20 feet.
Perimeter of a rectangle=2(l+w)
Perimeter of the rectangle=80 feet
2(l+w)=80
2l+2(20)=80
2l=80-40
2l=40
l=20 feet
Since the length and width are equal, the special type of rectangle that produces this maximum area is a Square.
Answer:
y=3x
Step-by-step explanation:
Answer:
100 is always divisible by 4. Therefore it doesn't matter which number is up front.
the two other digits are important because there are 2-digit-numbers that are not divisible by four. "14" is not divisible by four, but "24" is.
34 isn't divisible, 44 is, 54 isn't.
So both digits will need to form a number that is divisible by 4, or it will not work.
Step-by-step explanation:
n/A
The answer is
D. (x - 5)(x - 1)