9a - 3(a - 6) = -6...distribute thru the parenthesis
9a - 3a + 18 = -6....subtract 18 from both sides
9a - 3a = -6 - 18 ...combine like terms
6a = - 24...divide both sides by 6
a = -24/6
a = - 4
Answer:
a. V = (20-x)
b . 1185.185
Step-by-step explanation:
Given that:
- The height: 20 - x (in )
- Let x be the length of a side of the base of the box (x>0)
a. Write a polynomial function in factored form modeling the volume V of the box.
As we know that, this is a rectangular box has a square base so the Volume of it is:
V = h *
<=> V = (20-x)
b. What is the maximum possible volume of the box?
To maximum the volume of it, we need to use first derivative of the volume.
<=> dV / Dx = -3
+ 40x
Let dV / Dx = 0, we have:
-3
+ 40x = 0
<=> x = 40/3
=>the height h = 20/3
So the maximum possible volume of the box is:
V = 20/3 * 40/3 *40/3
= 1185.185
Answer:
option C
0.531
Step-by-step explanation:
Given in the question,
total number of people of age 35 years = 162
Total number of people of age 35 and having haemoglobin 9 or above
162 - 76
86
probability = 86/162
= 0.531
Answer:
S.D=61.824137824783
Step-by-step explanation:
Answer:
b=320; slope=-30
Step-by-step explanation:
if you look along the y-axis find the spot that the line intercepts and then that's b
now for the slope
find two points on the line, i chose(8 , 120) and (4 , 240)
use the slope formula: y2-y1 over x2-x1
240-120=120 and 4-8= -4
so the slope is 120/-4 and that can be simplified to 30/-1 or -30