(a)
We can see that
this is a straight line
and this is the graph of velocity
we know that
acceleration is the derivative of velocity
so, slope of curve of velocity is acceleration
so, we will find slope of this line
We can select any two points
(0,4) and (5,7)
we can use slope formula
now, we can plug points
we know that slope of line is always constant irrespective of any value of t
so, acceleration will always be same irrespective of any value of t
so, we will get acceleration
............Answer
(b)
we can see that acceleration is constant
and we know that
derivative of constant is always 0
so, instantaneous rate of acceleration at t=10s is 0........Answer
$29 - $5 = $24
24 ÷ 4.00 = 6
He can buy 6 CDs after buying the book
Answer:
1) 11h - 25
2) 8
3) C
Step-by-step explanation:
1) 5h-9+-16+6h
+ and - together makes -
5h - 9 - 16 + 6h
Arrange the like terms together
5h + 6h - 9 - 16
= 11h - (9+16)
= 11h - 25
2) 4x+4=9x-36
Subtract 4x from both sides
4x+4-4x = 9x-36-4x
Cancl out 4x and -4x from the left side
4 = 9x - 4x -36
=> 4 = 5x -36
Add 36 to both sides
4+36 = 5x -36 + 36
Cancel out -36 and +36 from the right side
=> 40 = 5x
Flip both the sides of the equation
5x = 40
Dividing both sides by 5
Cancel out the 5's on the top and bottom of the left side
x = 8
3) 7x+5 = 4x+5+3x
Arrange the like terms together on the right side
7x+5 = 4x+3x+5
=> 7x+5 = 7x+5
Subtract 5 from both sides
7x+5-5 = 7x+5-5
Cancel out +5 and -5 on both the sides
7x = 7x
Divide both sides by 7
Cancel out the 7's from the top and bottom of both sides
x = x
which can be true for infinite value of x like 1=1, 2=2, 3=3,.............
Answer:
568$
Step-by-step explanation:
so if she spent 17 that means that there is only 100 for one of the years so you must multiply 117 • 4 and then add 100
Answer:
Explanation:
3x - 7y = 21
6x = 14y + 42
Or 6x - 14y = 42
3x - 7y = 21 (1)
6x - 14y = 42 (2)
———————
-2(3x - 7y = 21)
6x - 14y = 42
———————
-6x + 14y = -42
6x - 14y = 42
———————
0x + 0y = 0
So I think in this case x and y has infinitely many solution
