Answer:
length = 7 meters
Step-by-step explanation:
l = length
w = width
w = 3×l - 6
l×w = 105 m²
l×(3×l - 6) = 105
3×l² - 6×l = 105
l² - 2×l = 35
l² - 2×l - 35 = 0
solution of a squared equation is
(-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = -2
c = -35
(2 ± sqrt(4 - 4×-35))/2 = (2 ± sqrt(4+140))/2 =
(2 ± sqrt(144))/2 = (2 ± 12)/2 = 1 ± 6
l1 = 1+6 = 7 meters
l2 = 1-6 = -5 meters, which did not make any sense for an actual object.
so, l = 7 meters remains.
Answer:
y = 18.1x
; and y = 18x
Explanation:
The rate of change in Relationship B can be found by using the formula for slope:
Using the first two points, we have
We know that Relationship A has a lesser rate than this. The choices given for Relationship A are written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept (in this case b = 0).
The slope of the first equation is 18.1; this is less than 18.25.
The slope of the second equation is 18.6; this is greater than 18.25.
The slope of the third equation is 18.3; this is greater than 18.25.
The slope of the fourth equation is 18; this is less than 18.25.
Since the order of the students selected is important in this item, the concept used for this question is that of the permutation. For this item it is the "permutation of 28 taken 6". This may be mathematically expressed as 28P6. The numerical answer is 271252800. Thus, the answer is letter C.
Answer:
No
Step-by-step explanation:
For something to be a function, there must be no duplicate x values, or if there is they must represent the same y. The table has a duplicate value of 2 so it is not a function.
I hope this helps!
Answer:
22+
Step-by-step explanation:
bc 7 + 15 = 22
