Answer:What was done from the first to the second equation was that the fraction was simplified. 126 and 32 have a common factors of 2.
126/32=(63*2)/(16*2)
The 2s in the top and bottom can cancel out, leaving the fraction 63/16.
In addition, since there are x terms on the top and bottom, they cancelled out as well.
x/x^3=1/x^2
This leaves an x^2 term on the bottom.
Thus, if a is 16, and b is 2, you will have an equivalent form of the fraction.
Step-by-step explanation:
Step-by-step explanation:
8-12x=-6(34x-2)+4
8-12x=204x-12+4
subtract 8 from both sides.
-12x=204x-20+4
-12 turned to -20 because we subtracted 8.
add 20+4
-12x=204x-24
subtract 204x from both sides
-216x=-24
divide by -216x
So I would say it has infinitely many solutions
log(3x) = log(2x-4)
taking antilog of both sides:
3x = 2x - 4
3x - 2x = -4 [subtracting 2x from both sides]
x = -4
and we're done already!
Sort the data into this order:
2.6, 3, 4.9, 5, 5, 6, 6, 7.9, 8, 8.2
^
there are 10 data points in total, therefore the Interquartile Range = between the 5th and the 6th numbers, which are 5 and 6
(5+6)/2= 5.5
Answer:
see explanation
Step-by-step explanation:
(a)
The shaded figure is a trapezium with area (A)
A = 0.5 h(a + b)
where h is the perpendicular height and a, b the parallel sides, thus
A = 0.5 × 10 × (8 + 14) = 5 × 22 = 110 cm²
(b)
The volume (V) of the prism is calculated as
V = area of end face × depth
= 110 × 3 = 330 cm³
