Answer:
-7, -6, -3, 2, 9, 18, 29, 42, 57
Rule: + 1, + 3, + 5, + 7, + 9, + 11, + 13, + 15, + 17......................
Answer:
true
Step-by-step explanation:
(2x³ - 5x² + 8)(x + 3) = ?
First step is to distribute.
2x^4 + 6x³ - 5x³ - 15x² + 8x + 24
Now combine like terms.
2x^4 + x³ - 15x² + 8x + 24
This is your answer, since you can't simplify any further or solve it without some more information.
-3x = -3 because you would multiply one of the equations by -1 to eliminate y.
175 mL at 25% concentration of alcohol contains 0.25 (175 mL) = 43.75 mL of alcohol. If <em>v</em> is the amount of the 70% solution that you use, then that amount contains 0.7<em>v</em> mL of alcohol.
Mixing these two yields a total volume of 175 mL + <em>v</em>, and it contains 43.75 mL + 0.7<em>v</em> alcohol. You want to end up with a concentration of 45%, which means the ratio of the amount of alcohol to the total volume needs to be 0.45:
(43.75 mL + 0.7<em>v</em>) / (175 mL + <em>v</em>) = 0.45
Solve for <em>v</em> :
43.75 mL + 0.7<em>v</em> = 0.45 (175 mL + <em>v</em>)
43.75 mL + 0.7<em>v</em> = 78.75 mL + 0.45<em>v</em>
0.25<em>v</em> = 35 mL
<em>v</em> = 140 mL
