X^2+10x+16＝0
First, you find factors of 16.
1 x 16
2 x 8
4 x 4
Next, you find which of the factor pairs adds up to 10 (from the 10x). In this case, 2 x 8 because 2 times 8 is 16 and 2 plus 8 is 10.
Then, the equation will be written out as: (x+2) (x+8). Take those two equations and set them equal to 0, and then solve.
x+2＝0
-2 -2
x＝-2
x+8＝0
-8 -8
x＝-8
So, your answers are x＝-2 and x＝-8. You can check by plugging in those two numbers as x.
Answer:
There were 423 adult tickets sold.
Step-by-step explanation:
Let x = the number of adult tickets sold
Let x + 65 = the number of student tickets sold
x + x + 65 = 715
2x = 715
x = 357.5
x + 65 = 422.5 (round up)
Answer:
The final position of the ball is on the 16 yard line.
Step-by-step explanation:
The final position of the ball after the fourth play is given by the initial position, in this case the 27-yard line, followed by a succession of sums and subtractions depending on the outcome of each play. For gains we sum and for losses we subtract. So we have:
final position = 27 + 6 - 12 + 2 -7
final position = 27 - 11
final position = 16
The final position of the ball is on the 16 yard line.
Answer:
The linear equation in two variables is 5u - 8v = 150 .
Step-by-step explanation:
As given
The cost of 5 tables exceeds the cost of 8 chairs by Rs150 .
Let us assume that the cost of one table be u .
Let us assume that the cost of one chairs be v .
Than the equation becomes
5u + 150 = 8v
Simplify the above equation
5u - 8v = 150
Therefore the linear equation in two variables is 5u - 8v = 150 .
I would say the best estimate would be 9 because the real answer is 8.71 and if you round that to the 1 place the answer would be 9.
