Answer:
Step-by-step explanation:
-2x + 7(1/2) =15
-4x +7 =30
-4x =23
x=-23/4
Answer:
30 goals last season
Step-by-step explanation:
Goals this season = 8
Goals this season = 1/3 of goals last season - 2
Let Goals scored last season = x
Therefore,
8 = 1/3x - 2
8 = x/3 - 2
8 + 2 = x / 3
10 = x / 3
x = 10 * 3
x = 30
Sara scored 30 goals last season
Answer:
E is not a subspace of 
Step-by-step explanation:
E is not a subspace of
In order to see this, we must find two points (a,b), (c,d) in E such that (a,b) + (c,d) is not in E.
Consider
(a,b) = (1,1)
(c,d) = (-1,-1)
It is easy to see that both (a,b) and (c,d) are in E since 1*1>0 and (1-)*(-1)>0.
But (a,b) + (c,d) = (1-1, 1-1) = (0,0)
and (0,0) is not in E.
By the way, it can be proved that in any vector space all sub spaces must have the vector zero.
Answer:
B. 4200
Step-by-step explanation:
A suitable calculator can add the terms for you. (See attached)
__
The first term is 69, and the common difference is 75-69 = 6. The general term is ...
an = a1 +d(n -1)
an = 69 +6(n -1)
Then the 28th term is ...
a28 = 69 +6(27) = 231
The average term is (a28 +a1)/2 = (231 +69)/2 = 150.
The sum is the number of terms multiplied by the average term:
sum = 28×150= 4200