Answer:
3x-8<23 and -4x+26>6
x<31/3 x<5
Step-by-step explanation:
3x-8<23
Add 8 to both sides
3x<31
Then divide 3 to both sides
x<31/3
and -4x+26>6
Minus 26 to both sides
-4x>-20
You divide -4 to both sides
Keep in mind that everytime you divide a negative the inequality will change so > will be <
x<5
Answer:
25, 26, 27
Step-by-step explanation:
78/3=26, so one number is 26 and the other numbers have to equal 52, so the numbers have to either be 24,25,27,28. 25+27=52,
Total capacity = sum of the individual production capacities.
Here,
Total capacity = sum of f(m) = (m + 4)^2 + 100 and g(m) = (m + 12)^2 − 50.
Then f(m) + g(m) = (m + 4)^2 + 100 + (m + 12)^2 − 50.
We must expand the binomial squares in order to combine like terms:
m^2 + 8 m + 16 + 100
+m^2 + 24m + 144 - 50
---------------------------------
Then f(m) + g(m) = 2m^2 + 32m + 160 + 50
f(m) + g(m) = 2m^2 + 32m + 210, where m is the number of
minutes during which the two machines operate.
Line 1 is in q1 and line 2 is q4