Answer:
63 gallons
Step-by-step explanation:
3 gallons = 4x 3 = 12 quarts
12+2 = 14
14 x 18 = 252 quarts
252 / 4 = 63 gallons
Answer:
x =-11
Step-by-step explanation:
5 +x -2 = -8
3 +x = - 8
x = -3 - 8
x= -11
Yes, the game was fair and no one had a better advantage.
The answer would be X= -2,-8
Answer:
- top: no solution
- bottom: x = 7
Step-by-step explanation:
I find a graphing calculator very helpful to solving radical equations. It helps avoid extraneous solutions.
<u>top</u>
√(-14x +2) = x -3
-14x +2 = x² -6x +9 . . . . . square both sides
x² +8x +7 = 0 . . . . . . . . . .subtract the left side
Descartes' rule of signs tells you this has no positive real solutions. (There are no sign changes among the coefficients.) The value of the radical will be non-negative, so we must have x-3≥0, or x≥3. Since there are no positive real solutions to the quadratic, there are no values of x≥3 that will satisfy the equation. NO SOLUTION
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<u>bottom</u>
4√(x -3) = 8 . . . . . given
√(x -3) = 2 . . . . . . divide by 4
x -3 = 4 . . . . . . . . . square both sides
x = 7 . . . . . . . . . . . add 3