Count change of signs to tell positive roots
then replace x with -x and evaluate, then count change in sign for negative roots
initially
+, -, -, +, +, -
3 changes
3 or 1 positive roots
replacing x with -x
-,-,+,+,-,-
2 changes
2 or 0 negative roots
B is answer
The answer is 1.9 gallons
Answer:
The Answer is that Orchestra seats were $15 and Balcony seats were $9.
Step-by-step explanation:
400(x+6) + 250x = 8250
400x + 2400 + 250x = 8250
650x + 2400 = 8250
650x = 5850
x = 9
Proof:
400(15) + 250(9) = 8250
6000 + 2250 = $8,250
Answer:
18 marbles
Step-by-step explanation:
Step 1
Express the fraction of each type of marble as a function of the total number of marbles as shown;
Let;
total marbles=x
red marbles=3/(3+4)=3/7x
blue marbles=4/7 x
But x=42 marbles
The total number of marbles for each type can be expressed as;
total number of red marbles=fraction of red marbles×total number of marbles
where;
fraction of red marbles=3/7 x
total number of marbles=42
replacing;
total number of red marbles=(3/7)×42=18 marbles
total number of blue marbles=fraction of blue marbles×total number of marbles
where;
fraction of blue marbles=4/7 x
total number of marbles=42
replacing;
total number of blue marbles=(4/7)×42=24 marbles
There was ninety three thousand one hundred seventy two people
