Answer:
See below.
Step-by-step explanation:
Part 1.
x + 12 <---------- Quotient.
------------------
x - 4 ( x^2 + 8x + 16
x^2- 4x
------------
12x + 16
12x - 48
----------
64 <--------- Remainder.
Part 2
f(4) = (4)^2 +8(4) + 16 = 16 + 32 + 16
= 64 Which is the remainder we found in the long division.
Part 3.
As you see in Parts 1 and 2, the Remainder Theorem tells you what the remainder is without doing the long division. If the remainder is 0 this means that the binomial you is a factor of the polynomial.
Well it actually is less than quotient because the number you're dividing by is always smaller than the quotient.
Step-by-step explanation:
solution,
midpoint between A(-1,4) and B(-5,-2)=
(X1 + X2 ÷2, Y1 + Y2 ÷2)
=(-1-5÷2 , 4-2)
=(-6÷2 ,2÷2)
=(-3 , 1)
therefore the midpoint between A(-1,4) and B(-5 ,-2)=(-3,1)
9.95×4=39.80
12.95×2=25.90
15.95×2=31.90
39.80+ 25.90+31.90=97.60
97.60×.18=17.56
97.60+17.56=$115.16 without tax and 18% gratutity
Write out the numbers between 24 and 33: {24, 25, 26, 27, 28, 29, 30, 31, 32, 33}
How many numbers have we here? 10.
How many of these numbers are odd? {25, 27, 29, 31, 33}
Strictly speaking, "between 24 and 33" does not include {24, 33}.
Thus, the odd numbers between 24 and 33 are {25, 27, 29, 31}
The chances of drawing an odd number between 24 and 33 are then 4 / 10.
If, however, we omit the endpoints 24 and 33, then there are 8 numbers between 24 and 33: {25, 27, 29, 31}
and the odds of choosing an odd number from these eight numbers is 4/8, or 1/2, or 0.50.
