Answer: B. X<12
Step-by-step explanation:
First we need to find out what number multipled by 4 is less than 56
4 x 12 = 48
56-48 = 8
And 4 is lower/less than 12 so that's why it's B
Answer:
B) 
Step-by-step explanation:
Because 
simplifies to 
, we only care about the quotient, which will be our oblique asymptote equation. Therefore, the oblique asymptote for the function will be . See the attached graph for a visual.
Answer:
circumference of a circle formula is C=2*pi*r
Step-by-step explanation:
then
141.3 = 2*pi * r
solve for r
141.3/ (2*pi) = r
22.48859 feet
diameter is 2*r
2*22.48859= 44.9771 feet
divide by 3 because there are 3 feet in one yard
44.9771/3= 14.99239 yds.
it doesn't say to round off, but I would call this 15 yds.
Diameter is 15 yards ± .008 yds That's just about 1/4 of an inch
Let's do this by Briot-Ruffini
First: Find the monomial root
x - 2 = 0
x = 2
Second: Allign this root with all the other coeficients from equation
Equation = -3x³ - 2x² - x - 2
Coeficients = -3, -2, -1, -2
2 | -3 -2 -1 -2
Copy the first coeficient
2 | -3 -2 -1 -2
-3
Multiply him by the root and sum with the next coeficient
2.(-3) = -6
-6 + (-2) = -8
2 | -3 -2 -1 -2
-3 -8
Do the same
2.(-8) = -16
-16 + (-1) = -17
2 | -3 -2 -1 -2
-3 -8 -17
The same,
2.(-17) = -34
-34 + (-2) = -36
2 | -3 -2 -1 -2
-3 -8 -17 -36
Now you just need to put the "x" after all these numbers with one exponent less, see
2 | -3x³ - 2x² - 1x - 2
-3x² - 8x - 17 -36
You may be asking what exponent -36 should be, and I say:
None or the monomial. He's like the rest of this division, so you can say:
(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 with rest -36 or you can say:
(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)
Just divide the rest by the monomial.
Answer:
2100
Step-by-step explanation:
In how many ways can a group of 10 people be divided into three groups consisting of 2,3, and 5 people?
First, you need to choose 4 people to fill the first group.
The number of ways is (104) which equals to 210.
Then, pick 3 more people out of the remaining 6 to be in the second group. And then, pick 3 more out of the remaining 3.
However, we need to divide it by 2, since we don’t really care on the order of selection of group.
(63)(33)/2=10
So, there are 210 x 10 = 2100 ways
