Compare to . Then in applying the LCT, we have
Because this limit is finite, both
and
behave the same way. The second series diverges, so
is divergent.
Y = -3x - 40. Use the distributive property to get the slope and move the 10 to the other side to isolate the y
Part 1 : Ben takes a random sample of 25 students in his seventh-grade class and finds that 85% of the sample prefers math over science. There are 150 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer math over science?
Option 1 : 25
Option 2 : 85
Option 3 :150
Option 4 :128
Solutions - Convert the percent into decimal and multiply.
<span>85% of 150 = 0.85 * 150
</span>
= <span>127.5 which is rounded to 128 </span>
-3×2= -6
-6-27= -33
so if we peak option B.
(-3x +91)(x+31)
solving it
-3x (x+31)+91(x+31)
-3x^2 -93x +91x +2821
we will take (-93x+91x)= -2x
so it's going to be
-3x^2 -2x +2821
this is a quadratic equation hence
2+/-√-2^2-(4×-3×2821)divided by 2×-3
2+/-√4+33852divide by -6
2+/-√33856 divide by -6
2+/- 184 divided by -6
2+/- 30.67
when you add you'll get
32.67
round it off and you get 33
which is the same as what we got at the top
so expression B is the same as
-3×2-27 which is 33