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:
(4x + 3) + (-2x + 4) = 2x + 7
Step-by-step explanation:
(4x + 3) + (-2x + 4) = you then collect like terms
(4x + -2x) + (3 + 4)= like this, and you add what's inside perenthesis
= 2x + (3 + 4). step-by-step
= 2x + 7. then that is how you get =2x+7
First set up a linear equation and using the x and y values in the table see if it solves.
It doesn't solve so we know it isn't linear. ( I won't show all those steps because they aren't needed.)
Using the quadratic formula y = ax^2 +bx +c
Build a set of 3 equations from the table:
C is the Y intercept ( when X is 0), this is shown in the table as 6
Now we have y = ax^2 + bx + 6
-2.4 =4a-2b +6
1.4 = a-b +6
Rewrite the equations
a=b/2 -2.1
1.4 = b/2-2.1 +6
b = 5
a = 5/2 -2.1 = 0.4
replace the letters to get y = 0.4x^2 + 5x +6
Answer: 11.8 km
Step-by-step explanation:
The resulting figure is a right angled triangle shown below
