44
-3x + 2 > 14.
-2 -2 -2
42
-3x > 12
-------------------------------------
-3 -3 -3 (dividing with inequalities by a negative flips the inequality symbol)
-14
x < -4
Answer:
f(2) = g(2) and f(0) = g(0)
Step-by-step explanation:
When x = x in f(x) and g(x), that means the two functions are equal.
The sum of any arithmetic sequence is the average of the first and last terms times the number of terms.
Any term in an arithmetic sequence is:
a(n)=a+d(n-1), where a=initial term, d=common difference, n=term number
So the first term is a, and the last term is a+d(n-1) so the sum can be expressed as:
s(n)(a+a+d(n-1))(n/2)
s(n)=(2a+dn-d)(n/2)
s(n)=(2an+dn^2-dn)/2
However we need to know how many terms are in the sequence.
a(n)=a+d(n-1), and we know a=3 and d=2 and a(n)=21 so
21=3+2(n-1)
18=2(n-1)
9=n-1
10=n so there are 10 terms in the sequence.
s(n)=(2an+dn^2-dn)/2, becomes, a=3, d=2, n=10
s(10)=(2*3*10+2*10^2-2*10)/2
s(10)=(60+200-20)/2
s(10)=240/2
s(10)=120
Answer:
25%
Step-by-step explanation:
1 dozen = 12
3 out of 12
3/12
Simplify
1/4
Multiply top and bottom by 25 to get a denominator of 100
25/100
25%
Answer:
A. V + 18 < 30
Step-by-step explanation:
First of all, less than is the sign that points to the left,
Secondly, I'm guessing that y is actually V,
Before Ray gave Jan cards, she had 18,
so it is 18 plus V (the number of cards Ray gave her),
SO,
V + 18 < 30
