Answer:
2
Step-by-step explanation:
The text translates to:
5x + 2 < 13
which simplifies to
x < 11/5
the greatest integer that does this is 10/5, a.k.a. 2
Answer:
Step-by-step explanation:
1. You can use the intercepts to graph the line. The graph of 2x + 3y = 12 crosses the x-axis at (6, 0), so its x-intercept is 6. The graph of 2x + 3y = 12 crosses the y-axis at (0, 4), so its y-intercept is 4.
2. Point-Slope Form: y - y1 = m(x - x1)
Standard Form: ax + by = c
5x - 2y = 10
-2y = -5x + 10
y = (5/2)x - 5 The slope is 5/2.
y - 2 = (-5/2)(x - 10)
y = (-5/2)x + 25 + 2
y = (-5/2)x + 27 The slope is -5/2.
y = (-5/2)x - 10 The slope is -5/2.
240÷15=16 seats at each table
Since there were 15 tables and 240 in total you have to divide to find the number of seats at a table
The answer would be -4 because if you do -4 times 2x then you would get -8x. Then if you did -4 times -3 you would get 12. (A negative times a negative equals a positive)
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The area of the rectangular pen is 
The cost of material used to make one side is 
The cost of material used to make the other sides is 
Now , the fence to be build around the rectangular pen has four sides, the first opposite sides are equal, let assume each of the to be x yard and the other opposite sides are also equal as well let assume of the to be y yard
So the cost is mathematically represented as

=> 
=> 
Now the area of the fence is mathematically represented as

=> 
=> ![C = 9x + 6[\frac{24}{x} ]](https://tex.z-dn.net/?f=C%20%3D%20%20%209x%20%20%2B%20%206%5B%5Cfrac%7B24%7D%7Bx%7D%20%5D)
=> ![C = 9x + [\frac{144}{x} ]](https://tex.z-dn.net/?f=C%20%3D%20%20%209x%20%20%2B%20%20%5B%5Cfrac%7B144%7D%7Bx%7D%20%5D)
Now differentiating


At minimum 
So




Now substituting for x in the equation above to obtain minimum cost
![C = 9(5.66) + [\frac{144}{5.66} ]](https://tex.z-dn.net/?f=C%20%3D%20%20%209%285.66%29%20%20%2B%20%20%5B%5Cfrac%7B144%7D%7B5.66%7D%20%5D)
