Answer:
x=-3
Step-by-step explanation:
5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x
(remove parentheses)
5x-20+3x-9x=6-2x-5+8x
(collect like terms and calculate)
-x-20=1+6x
(move the terms)
-x-6x=1+20
(collect like terms and calculate)
-7x=21
(divide both sides)
x=-3
(your answer :))
Answer:
Time taken to elapse the remaining $861 = 10.25 days
Step-by-step explanation:
Assuming that I am spending at a rate of -x dollars per day
Let initial amount be A
The rate of expenditure = 1281-861/5 = 84 dollars per day
Time taken to elapse the remaining $861 = $861/$84 per day
= 10.25 days
A 90 Degree counter clockwise rotation
Here the time function is h(t) = [6 + 96t - 16t^2] feet.
The initial height of the ball is 6 feet. That's when t=0. h(0)=[6+0-0] ft = 6 ft.
At t=7 sec, h(t) = [6 + 96t - 16t^2] feet becomes
h(7 sec) = h(t) = [6 + 96(7) - 16(7)^2] feet This produces a large negative number (-106 ft), which in theory indicates that the ball has fallen to earth and burrowed 106 feet into the soil. Doesn't make sense.
Instead, let t=1 sec. Then h(1 sec) = h(t) = [6 + 96(1) - 16(1)^2] feet
=[6 + 96 -16] ft, or 86 ft.
One sec after the ball is thrown upward, it reaches a height of 86 feet. It continues to rise, slowing down, until it finally stops for an instant and then begins to fall towards earth.
421 because 400 plus 15 plus 6 is 421
