The last image is the graph of 
In fact, it is an increasing exponential function, and it passes through the points 
, which reflects the fact that 
and 
, which reflects the fact that 
.
Now, 
is a child of the parent function we just described. Precisely, it is the result of the transformation 
In general, every time you perform a transformation like 
, you translate the graph horizontall, k units to the left if k is positive, and k units to the right if k in negative.
Since in this case 
, we have a horizontal translation of 4 units to the right.
So, the correct option is the third one, because:
- The first graph is the parent function translated 4 units to the left
- The second graph is the parent function translated 4 units down
- The third graph is the parent function translated 4 units to the right
- The fourth graph is the parent function
A + b + c = 168
b = 1/3c
a = b + c....a = 1/3c + c = 4/3c
now we sub
4/3c + 1/3c + c = 168
8/3c = 168
c = 168 * 3/8
c = 504/8
c = 63 <=== Carlos collected 63 lbs
a = 4/3c
a = 4/3(63)
a = 252/3
a = 84 <== Amy collected 84 lbs
b = 1/3c
b = 1/3(63)
b = 63/3 <== Bruce collected 21 lbs
b = 21
Answer:
Step-by-step explanation:
Part A
xf = xo + vo* t + 1/2 a*t^2 Subtract xo
xf - xo = 0*t + 1/2 a*t^2 multiply by 2
2(xf - xo) = at^2 divide by t^2
2(xf - xo ) / t^2 = a
Part B
Givens
xo =0
vo = 0
a = 10 m/s^2
xf = 120 m
Solution
xf = xo + vo* t + 1/2 a*t^2 Substitute the givens
120 = 0 + 0 + 1/2 * 10 * t^2 Multiply by 2
120*2 = 10* t^2
240 = 10*t^2 Divide by 10
240/10 = t^2
24 = t^2 take the square root of both sides.
√24 = √t^2
t = √24
t = √(2 * 2 * 2 * 3)
t = 2√6
Put the second equation so it's in y= form, it should be the same :)
Answer:
Step-by-step explanation:
Let chocolate bar = c and blow pops = b
<u>As per given we have equations below:</u>
- 5c + 8b = 23.25
- 2c + 13b = 21.55
<u>13 times the first equation minus 8 times the second to eliminate b and find c:</u>
- 13(5c + 8b) - 8(2c + 13b) = 13(23.25) - 8(21.55)
- 65c - 16c = 129.85
- 49c = 129.85
- c = 129.85/49
- c = 2.65
Each chocolate bar costs $2.65
