These are linear equations that can be solved simultaneously;
5m+3n=41
3m-6n=9 (multiplying the first equation by 3 and the second by 5)
15m+9n=123
15m-30n= 45 (subtracting the two equations)
39n = 78
n = 2,
and for m, 3m = 9+6(2)
= 21
m = 7
Therefore, n=2 and m=7
(1,3) means that x = 1 and y = 3. Let's make substitutions to see what happens with the inequality
5*x + y < -3
5*1 + y < -3 ... replace x with 1
5*1 + 3 < -3 ... replace y with 3
5 + 3 < -3
8 < -3
This is false. The number 8 is NOT smaller than -3.
So (1,3) is NOT a solution
Answer: Choice A) No
Answer:
y-6=5(x-(-9))
Step-by-step explanation:
y=5x+51 if u need y=mx+b. Plug and chug basically
You just solve it like a normal multiplication problem and then start putting the decimal begin the answer and place it 3 numbers forward
9514 1404 393
Answer:
97
Step-by-step explanation:
We want to find x when C = 23.
23 = 0.005x^2 -0.35x +10
2600 = x^2 -70x . . . . . . subtract 10, multiply by 200
2600 +35^2 = (x -35)^2 . . . . complete the square
61.847 +35 = x . . . . . . . square root, add 35 (use the positive result only)
x ≈ 97 . . . . rounded to integer
The cost is $23 when 97 coolers are produced.
