$2(t-3) > 2t-8\ \ \ \ |\text{use distributive property}\\\\(2)(t)+(2)(-3) > 2t-8\\\\2t-6 > 2t-8\ \ \ \ \ |\text{subtract 2t from both sides}\\\\-6 > -8\ \ \ TRUE\\\\Answer:\ t\in\mathbb{R}\ (all\ real\ numbers)$

8 0

3 years ago

Add (13x – 4) and (–6x + 15)

kompoz [17]

(13x – 4) + (–6x + 15) =

13x - 4 - 6x + 15 =

7x + 11

4 0

3 years ago

Given a rectangle with a perimeter of 24 inches, why dimensions maximize the area?

Pepsi [2]

Answer:

The dimensions are 6 by 6

Step-by-step explanation:

Calculus answer:

2x +2y= 24

xy= A

2x=24-2y

x=12-y

(12-y)(y)= 12y- y^2

the Derivative is = 12-2y

Then set that equal to zero 0=12-2y

-12=-2y

y=6

Confirm that 6 is a maximum by using a wiggle graph

wiggle graph -∞<---inc--6---dec-->∞

6 is a maximum

plug into original equation

2x + 2(6)=24

2x+12=24

2x=12

x=6

----------------------------------------------------------------------------------------------------

y=6

x=6

5 0

3 years ago