Answer: Simplifying
17.75x + 24 = 18.95x + 18
Reorder the terms:
24 + 17.75x = 18.95x + 18
Reorder the terms:
24 + 17.75x = 18 + 18.95x
Solving
24 + 17.75x = 18 + 18.95x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-18.95x' to each side of the equation.
24 + 17.75x + -18.95x = 18 + 18.95x + -18.95x
Combine like terms: 17.75x + -18.95x = -1.2x
24 + -1.2x = 18 + 18.95x + -18.95x
Combine like terms: 18.95x + -18.95x = 0.00
24 + -1.2x = 18 + 0.00
24 + -1.2x = 18
Add '-24' to each side of the equation.
24 + -24 + -1.2x = 18 + -24
Combine like terms: 24 + -24 = 0
0 + -1.2x = 18 + -24
-1.2x = 18 + -24
Combine like terms: 18 + -24 = -6
-1.2x = -6
Divide each side by '-1.2'.
x = 5
Simplifying
x = 5
Step-by-step explanation:
Answer:
Width: 12 ft
Maximum area: 144 ft²
Step-by-step explanation:
A = 24x – x²
A = –x² + 24x
A = –(x² – 24x)
A = –(x² – 24x + 144) + 144
A = –(x – 12)² + 144
Therefore, the maximum area of 144 ft² occurs at x = 12 ft.
Answer:
B
Step-by-step explanation:
This is a really simple topic. All you need to do when seeing these ordered pairs is see which has x-values that don't repeat. Over here, we can see that that is B, so B is the correct option.
0.59 = (1 - 0.000125)^^x where x = number of years of decay
ln 0.59 = x ln(0.999875)
x = 4221 to nearest year
Answer would be 7 since 2 is a negative you would subtract it from 9