Answer:
(4x+5)(-3x-1) = -12x²-19x-5
Option A:
(-16x² + 10x - 3) + (4x² - 29x - 2) = -12x²-19x-5
Option A is correct.
Option B:
3(x - 5) - 2(6x² + 9x + 5) = -12x²-15x-25
Option B is wrong.
Option C:
2(x - 1) - 3(4x² + 7x + 1) = -12x²-19x-5
Option C is correct.
Option D:
(2x² - 11x - 9) - (14x² + 8x - 4) = -12x²-19x-5
Option D is correct.
Answer:
x=6+1
Step-by-step explanation:
C: at y=5
The formula is y=mx+b (b meaning the y-intercept) so that +5 is where your y-intercept is gonna be!
Answer: it will take 5 people 6.4 hours to do the work.
Step-by-step explanation:
The number of hours required to do a job varies inversely as the number of people working. Let h represent the number of hours required to do the job. Let p represent the number of people working. Therefore,
h is inversely proportional to p
Introducing a constant of variation, k, it means that
h = k/p
It takes 8 hours for 4 people to paint the inside of a house. Therefore
8 = k/4
k = 8×4 = 32
The formula becomes
h = 32/p
To determine how many hours it will take 5 people to do the work, we will substitute p = 5 into the formula. It becomes
h = 32/5 = 6.4 hours
Option C: -3 is the average rate of change between 
and 
Explanation:
The formula to determine the average rate of change is given by
Average rate of change = 
We need to find the average rate of change between and
Thus, from the table, we have,
, 
, 
Thus, substituting these values in the formula, we get,
Average rate of change = 
Thus, the average rate of change between and is -3.
Hence, Option C is the correct answer.
