In completing the square, the first step is to factor out the first and second term so that the factor (x+a) is highlighted. This is seen in line 1. However, in line 2, the subtracted value should be 3 so as to compensate for the added value. This affects then line 3 as well. The answer is line 2.
(2/3)- students working on math
6-total students
(2/3) of 6 students+= (2/3)x6 = (12/3) = 4
Answer:
-3
Step-by-step explanation:
answer must be negative since graph opens downward
value of 'a' must must be less than -1
Answer:
Step-by-step explanation:
After some number of minutes m, Mohammed's altitude will be ...
40 +10m
and Dana's altitude will be ...
165 -15m
The altitudes will be the same when ...
40 +10m = 165 -15m
25m = 125 . . . . . . . . . . . add 15m-40
m = 5 . . . . . . . . . . . . . . . divide by 25
The height of the two balloons after 5 minutes will be 40+10·5 = 90 ft.
(x, y ) = (- 6, 3 )
Since both equations express y in terms of x, we can equate them
2x + 15 = -
x + 1
( add
x to both sides )
x + 15 = 1 ( subtract 15 from both sides )
x = - 14
( multiply both sides by 3 and divide by 7 )
x = ( 3 × - 14 )/7 = - 6
substitute x = - 6 into either of the 2 equations for y- coordinate )
y = ( 2 × - 6 ) + 15 = 3
solution : (x, y ) = ( - 6, 3 )