Yes; you are correct.
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The correct answer is:
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Answer choice: [C]: " x³ − 9x² + 23x <span>− 12 " .
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Note: (a </span>− b) (c − d + e) = ac − ad + ae − bc + bd − be ;
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(x − 4) (x² <span>− 5x + 3) =
x * x</span>² = x³ <span>−
x * 5x = 5x</span>² +
x * 3 = 3x <span>−
4 * x</span>² = 4x² <span>−
-4 * 5x = -20x +
-4 * 3 = -12;
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</span> (x − 4) (x² − 5x + 3) =
x³ − 5x² + 3x −4x² − (-20x) + (-12) ;
= x³ − 5x² + 3x −4x² + 20x − 12 ;
= x³ − 5x² − 4x² + 3x + 20x − 12 ;
= x³ − 9x² + 23x − 12 ; which is:
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Answer choice: [C]: " x³ − 9x² + 23x − 12 " .
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Answer:
12
Step-by-step explanation:
$50-6 (ticket to game) = 44 - $20 (the balance she wants to have left) = $24.
$24/2=12 (amount of hotdogs she can buy)
Answer:
Open circle
Step-by-step explanation:
If the inequality has < or > it is an open circle.
If the inequality has =< or >= it is closed
Have A Great day
Answer: 60
Step-by-step explanation:
Since AB and BC creates AC, we can add them together to find x, then use that to find the value of BC.
8x+9+6x+6=141 [combine like terms]
14x+15=141 [subtract both sides by 15]
14x=126 [divide both sides by 14]
x=9
Now that we have found the value of x, we can plug that into BC.
6(9)+6 [multiply]
54+6 [add]
60
Now, we know the length of BC is 60.
Answer:
3:40 p.m.
Step-by-step explanation:
Add 74 minutes to 1:25 p.m.; the improperly formed result witll be 1:99 p.m.; to express this properly, add 1 hour to this time and subtract 60 minutes from it:
2:39 p.m. (time at which Avery gets off the bus)
If Avery walked 61 minutes to get home and we want to know what time she arrived, we add 61 minutes to 2:39 p.m., obtaining 2:100 p.m., which must in turn be re-written as 3:40 p.m.
Avery arrived home at 3:40 p.m.
Note: another way in which to do this problem is to add 74 minutes and 61 minutes, obtaining 135 minutes, and then adding 135 minutes to 1:25 p.m. and making the necessary adjustments to the result:
1:25 p.m. + 135 minutes = 1:160 p.m., or (recognizing that 120 min = 2 hours)
3:40 p.m.
