Answer:
B
Step-by-step explanation:
(f+g)(x) means add f(x) and g(x) together:
(x/2)-2 + 2x^2 +x -3
collect all the like terms:
2x^2
(x/2) + x = 3/2x (explanation below)
-2 -3 = -5
x/2 + x can be turned to 1x/2 + 2/2x (2/2 = 1, so when you simplify it to 1x, it is still x)
Answer:
The value of x is -6
Step-by-step explanation:
Let us equate the fraction by its equivalent
∵
= -22
→ Multiply both sides by (x - 10) to cancel the denominator of the left side
∴
× (x - 10) = -22 × (x - 10)
∴ 352 = -22(x - 10)
→ Simplify the right side by multiplying -22 by the bracket (x - 10)
∵ 352 = -22(x) - 22(-10)
∴ 352 = -22x + 220
→ Add 22x to both sides
∵ 22x + 352 = -22x + 22x + 220
∴ 22x + 352 = 220
→ Subtract 352 from both sides
∴ 22x + 352 - 352 = 220 - 352
∴ 22x = - 132
→ Divide both sides by 22 to find x
∴ 
∴ x = -6
∴ The value of x is -6
The decay factor here is 0.85, and it means the car’s value changes by 85% every year, or goes down by 15% every year.
The formula for exponential decay is y = a(1 - b)^x
y is the final amount.
a is the initial amount, which is $30,000 in this case.
(1 - b) is the decay factor, or the number the original value gets multiplied by each year, which is 0.85 here.
b is the percent decrease in decimal form. In this case, we can find it using the formula (1 - b) = 0.85. We soon find that b = 0.15, or 15%.
x is the number of years.
The answer is:
14.875
Hope this helps
Answer:
The red graph. y intercept is at 20k and is decreasing