7x-8 (2) = 12x+8
14x-16 = 12x+8
-12x -12x
2x-16 = 8
+16 +16
2x = 24
÷2 ÷2
x= 12
UV= 7x-8
UV= 7(12)-8
UV= 84-8
UV= 76
Write and solve the appropriate exponential equation:
228 = 16(r)^4, where r is the change per hour in the number of bacteria:
228
------ = r^4 = 14.25.
16
Taking the fourth root of both sides, we get: r = 1.94 (answer)
P(x)=R(x)-C(x)
=(-0.5x²+800x-100)-(300x+250)
=-0.5x²+800x-100-300x-250
=-0.5x²+800x-300x-100-250
=-0.5x²+500x-350 (2)
Answer:
m = 3 and c = - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 ← is in slope- intercept form
with m = 3
• Parallel lines have equal slopes, thus
y = 3x + c ← is the partial equation of the parallel line
To find c substitute (1, 2) into the partial equation
2 = 3 + c ⇒ c = 2 - 3 = - 1
y = 3x - 1 ← equation of parallel line
with m = 3 and c = - 1
