Answer:
1) y=x2+6x+7
2) y=x2−6x+7
3) y=x2+6x+11
4) y=x2−6x+11
Step-by-step explanation:
Triangular number sequnce
Answer:
Step-by-step explanation: p(x) =18-5(-2) = 28
value of p(-2) is 28.
To find the solution to the given expression, we simply isolate the unknown variable m and perform the necessary operations. The solution is as follows.
(3/5)*(2m-10) = (2/3)*m + 10
15*[(3/5)*(2m-10) = (2/3)*m + 10]
9(2m-10) = 10m + 150
18m-90 =10m + 150
18m - 10m = 150 + 90
8m = 240
m = 240/8
m = 30
First, we multiply the whole expression to the least common denominator (LCD) which is 15. Multiplication and division were then performed accordingly. The terms containing the variable m were transposed to the left side of the equation. Mathematical operations were then applied to get the final value of m which is equal to 30.
Let’s pick a paperback and a hardback
There are 4 x 6 possible choices
Now pick any three of the remaining 8 books
8C3 = 56
This means there are 4 x 6 x 56 = 1344 selections of 5 books that will contain at least one paperback and one hardback
8C3 means picking 3 from 8 without worrying about order
8C3 = 8 x 7 x 6 / (3 x 2 x 1) = 56