Answer:
D. p + q = 7
Step-by-step explanation:
The slope of AB is ...
mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)
The slope of BC is ...
mBC = (q -1)/(9 -6) = (q -1)/3
We want the product of these slopes to be -1:
mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)
-(q-1)/(6 -p) = -1 . . . . cancel factors of 3
q -1 = 6 -p . . . . . multiply by -(6 -p)
q + p = 7 . . . . . matches choice D
Answer:
18- 300
20- 1,500
22- 300
Step-by-step explanation:
You can easily find the answer like this:
18. Multiply 60 and 100 together. The hundred is from 100%. After that, divide it by 20 because of the percent. After doing this, you should get 300.
20. 360*100=36,000 36,000/24= 1,500
22. 9*100=900 900/3=300
I hope this is what you were looking for. If you need more out of this, ask me to answer it again. :)
1.) -8 + 10(6 + 4r)
First multiply the 10 into (6 + 4r)
-8 + 60 + 40r
52 + 40r
2.) (8m² - 8m + 8) - (2m - 7m² - 6)
Distribute the - into (2m - 7m² - 6)
8m² - 8m + 8 - 2m + 7m² + 6
Combine like terms
15m² - 10m + 14
(idk if you need to factor this or if you can leave it as is)
Answer:
Step-by-step explanation:
Find the greatest common factor of 12x + 8
4(3x + 2) so one side is 4 and the other is 3x + 2
Answer:
Step-by-step explanation:
P(x) = R(x) - C(x)
Where,
P(x) = Total profit
R(x) = Total revenue
C(x) = Total cost
R(x)equals150.97 x minus 0.3 x squared
R(x) = 150.97x - 0.3x^2
Upper C left parenthesis x right parenthesis equals 4529.10 plus 0.5 x squared.
C(x) = 4529.10 + 0.5x^2
P(x) = R(x) - C(x)
= (150.97x - 0.3x^2) - ( 4529.10 + 0.5x^2)
= 150.97x - 0.3x^2 - 4529.10 - 0.5x^2
= 150.97x - 0.8x^2 - 4529.10
P(x) = -0.8x^2 + 150.97x - 4529.10
