Answer:
x^3-2x^2-13x+6
Step-by-step explanation:
We are to simplify the expression (x+3)(x^2−5x+2). This is as shown;
(x+3)(x^2−5x+2)
Expand
= x(x^2)-5x(x)+2x+3x^2-3(5x)+6
= x^3 - 5x^2+2x+3x^2-15x+6
Collect the like terms
= x^3 - 5x^2+3x^2+2x-15x=6
= x^3-2x^2-13x+6
This gives the required expression
Answer:
a) N = 240 ways
b) N = 303,600 ways
c) N = 10 ways
Step-by-step explanation:
a) Given
General course consist of one course from each of 4 groups.
Social Science = 5 options
Humanities = 4 options
Natural sciences = 4 options
Foreign language = 3 options.
Therefore the total number of possible ways of selecting one each from each of the 4 groups is:
N = 5×4×4×3 = 240 ways
b) if four people are chosen from 25 member for four different positions, that makes it a permutation problem because order of selection is important.
N = nPr = n!/(n-r)!
n = 25 and r = 4
N = 25P4 = 25!/(25-4)! = 25!/21!
N = 303,600 ways
c) The number of ways by which 5 tosses of coin can yield 2 heads and 3 tails.
N = 5!/(5-5)!(2!)(3!)
N = 5×4/2
N = 10 ways
3 3/8. To figure this out, figure out how many times 8 goes into 27.
8 goes into 27 three times.
Now, multiply 8 and three together to figure out how many eights there are in 3.
3 = 24/8
There are still 3/8 remaining.
Your answer would be
3 3/8.
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Anya's parents will have $44,440.71 after 6 years if they invested in a bank.
The interest rate given is an annual rate yet will be compounded quarterly. You therefore need to convert the interest rate to a quarterly rate.
= 4% / 4 quarters
= 1% per quarter
Number of periods:
= Number of years x Number of quarters in year
= 6 x 4
= 24 quarters
The amount they will have in their account is:
<em>= Amount x ( 1 + rate) ^ number of periods </em>
= 35,000 x ( 1 + 1%)²⁴
= $44,440.71
In conclusion, they will have $44,440.71 if they invested their money in a bank for 6 years.
<em>Find out more at brainly.com/question/13861384.</em>
Alan is 14 years old
He is twice as old as James
then Alan is the elder brother
Alan is twice as old means his age is double the age of James
Alans age = 2 x james age
that means James must be half of Alans age
Alans age = 14 years
James age = 14 / 2 = 7 years
therefore James is 7 years old
