If you had values instead of algebraic expressions, you would find the area of the patio and subtract that from the area of the yard. Even though you don't have values, you can still find the area and subtract by expanding and simplifying:
(8x + 2)(6x + 3)
8x × 6x = 48x²
8x × 3 = 24x
2 × 6x = 12x
2 × 3 = 6
So you get 48x² + 36x + 6 as your area of the yard
(x + 5)(3x + 1)
x × 3x = 3x²
x × 1 = x
5 × 3x = 15x
5 × 1 = 5
So the area of the patio is 3x² + 16x + 5
(48x² + 36x + 6) - (3x² + 16x + 5)
48x² - 3x² = 45x²
36x - 16x = 20x
6 - 5 = 1
So your answer is D. 45x² + 20x + 1. I hope this helps!
Answer:
vertex = 
Intercepts for x = 
intercepts for y = (0,-6)
Answer: 121871
Step-by-step explanation:
Current population = 98000
Rate of increase = 3.7% / year
Total time = 2020 - 2014 = 6 years
Population in 2020 = 98000 * (1+ (3.7/100))^6
= 98000 * (1.037)^6 = 98000 * 1.243576 = 121870.505
Rounding off to nearest whole number we get the population = 121871
The answer is 11.66 or 11.67 depending on how you round the decimal
ANSWER
B. 1
EXPLANATION
The given function is
This is a piece-wise defined function.
We want to find f(1)
We substitute x=1 into f(x)=x because, 1 belongs to the interval,
1≤x≤5
f(1)=1
The correct answer is B.
