Answer:
The given statement is correct for all positive integers.
Step-by-step explanation:
The given inequality is
for all positive integers

Answer:

Step-by-step explanation:
A line in 2-dimensional space has the following general equation:

Where m is the slope of the line, and b just a number
the slope can be obtaine using th following formula:

The point 2 is the one with the smallest value for x, that is (-10,-7) and the Point 1 is any other that belongs to the line, in this case, (-5,-9)

Resulting that 
To find the other term we can use any other point, I prefer us the first one so...
We have the following equation:

Resulting that b=18
I just have to eval the point (-10,-7) in the equation stated at the beginning knowin that m was calculated previously.
Answer:
10 quarters = $2.50
10 nickels = $0.50
that leaves $0.20 for other coins (dimes / pennies)
Step-by-step explanation:
First, suppose she has only quarters and nickels and no other coins. Then if C is the identical number of coins of each type, then 5C + 25C = 320, so 30C = 320 and 3C = 32, but there is no integer solution to this. So she must have at least one other type of coin.
Assume she has only quarters, nickels, and dimes. Then if D is the number of dimes, 5C + 25C + 10D = 320, which means 30C + 10D = 320, or 3C + D = 32. The smallest D can be is 2, leaving 3C = 30 and thus C = 10. So in this scenario she would have 10 quarters, 10 nickels, and two dimes to make $2.50 + $0.50 + $0.20 = $3.20.
This has to be the highest number, because if she had 11 quarters and 11 nickels, that alone would add up to 11(0.25) + 11(0.05) = $3.30, which would already be too much.
Answer:
x= 4
Step-by-step explanation:
i dont think u need explanation but lmk if u do :)
Answer:
if the only choices were pepperoni and cheese then 590 students were surveyed. I think there may be more to the question that you left out by accident