Answer: These are some points of the grahp:
(-2,4)
(0, 3)
(2, 2)
Explanation:
1) f(x) = -0.5x + 3, is the equation of the form y = mx + b
2) y = mx + b is slope-intercept equation of a line where the slope is m and the y-intercept is b, so, f(x) = - 0.5x + b has slope m = -0.5 and y-intercept b = 3.
3) To graph f(x) = -0.5x + 3, follow these steps:
- draw two perpedicular axis: vertical axis, labeled y, and horizontal axis, labeled x.
- draw marks on each axis, each mark equivalent to one unit.
- the intersection point of the vertical and horizontal axis is the origin, i.e. point (0,0).
- you can make a table with two or more points:
x f(x) = - 0.5x + 3
-2 4
0 3
2 2
4 1
6 0
4) You can see the graph in the figure attached, and select any of the points on the line either by using the table or by using the equation f(x) = -0.5x + 3.
Formula for circumference: 2πr
r=2x+1
C=2π(2x+1)
distribute
C=4πx+2π
Answer:
(2x+9) ^3
Step-by-step explanation:
(((8 • (x3)) + 729) + (22•33x2)) + 486x
((23x3 + 729) + (22•33x2)) + 486x
Factoring: 8x3+108x2+486x+729
8x3+108x2+486x+729 is a perfect cube which means it is the cube of another polynomial
In our case, the cubic root of 8x3+108x2+486x+729 is 2x+9
Factorization is (2x+9)3
Hope this helped
It's hard to explain by words so sorry if you don't understand. For the graphing part, starting from (-3, 0), plot points in (1, 2), (6, 3), and connect them. The end of a line should be (10, 3.5). You will understand better if you use graphing calculator.
The answer of a second question is {x|x is greater or equal to -3.
$40.50 10 boxes at 6lbs = 60lbs
36 boxes at 12 ounces = 432 ounces dived by 16(16 oz in a lbs)= 27 lbs
60 lbs plus 27 lbs = 87 lbs total weight
87lbs - 20lbs($12)= 67lbs - 30 lbs($10)= 37lbs x .50($.50 per pound)= $18.50
$12+$10+$18.50= $40.50
