Answer:
15 360 people in State A and 58 560 in State B
Step-by-step explanation:
We have two conditions:
(1) A + B = 73 920
(2) B = 3A + 12 480
Solve the system of equations. Substitute (2) into (1).
A + 3A + 12 480 = 73 920 Subtract 12 480 from each side
4A = 61 440
(3) A = 15 360 Substitute (3) into (2)
B = 3×15 360 + 12 480
= 46 080 + 12 480
= 58 560
There are 15 360 people in State A and 58 560 in State B.
<em>Check:
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(1) 15 360 + 58 560 = 73 920 (2) 58 560 = 3×15 360 + 12 480
73 920 = 73 920 58 560 = 46 080 + 12 480
58 560 = 58 560
angleD=(7b+1)angle E=(2b+1)and angle F=(b+8)
Answer:
y = 5 + 4x
Step-by-step explanation:
4x-y = -5
4x-y - 4x = -5
-y = -5 - 4x
you can not have a negative y so you multiply each side by negative 1 in order to get y positive
-1(-y) = -1(-5 - 4x)
y = 5 + 4x
Answer:
r = sqrt( 3V/( pih))
Step-by-step explanation:
V = 1/3 pi r^2 h
Solving for r
Multiply each side by 3
3V = pi r^2h
Divide each side by pi h
3V/( pi h) = r^2
Take the square root of each side
sqrt( 3V/ (pi h) )= sqrt( r^2)
sqrt( 3V/ (pi h)) = r
Rate of change = slope
function 1 :
(0,0)(1,2)
slope = (2 - 0) /(1 - 0) = 2/1 = 2
function 2 : y = 1/2x + 7...in y = mx + b form, the slope is in the m position.
so ur slope here is 1/2.
so function 1 has a greater rate of change because it is 2.......function 2 has 1/2 rate of change