Answer:
(-2, 5)
Step-by-step explanation:
I will assume that your system is
y = -4x - 3
y = -2x + 1
Multiplying the second equation by -2 results in
y = -4x - 3
-2y = 4x - 2
combining these two equations eliminates x temporarily:
-y = -5, so that y must be 5.
Substituting 5 for y in the second equation, we get:
5 = -2x + 1, or
4 = -2x, which results in x = -2
and so the solution is (-2, 5)
Answer:
1 Original amount: 20
End amount: 15
<h3>(20 - 15)/20 x 100 = (5/20) x 100 = 25% decrease</h3>
2 Original amount: 30
End amount: 45
<h3>
(45 - 30)/30 x 100 = (15/30) x 100 = 50% increase </h3>
3 Original amount: 625
End amount: 550
<h3>
550/625 =550 ÷ 625 =0.88</h3><h3>
0.88 =0.88 × 100/100 =(0.88 × 100)/100 =88/100 =88% decrease</h3>
4 Original amount: 320
End amount: 112
<h3>
(112-320):320x100 =</h3><h3>
100 =(112:320-1)x100 =</h3><h3>
100 =35-100 = -65% decrease</h3>
5 Original amount: 165
End amount: 222.75
<h3>
165/222.75 =165 ÷ 222.75 ≈0.740740740740741</h3><h3>
0.740740740740741 =0.740740740740741 × 100/100 =(0.740740740740741 × 100)/100 ≈74.074074074074/100 =74.074074074074% ≈74.07% Increase </h3>
6 Original amount: 326
End amount: 423.80
<h3>
(423.8-326):326x100 =</h3><h3>
100 =(423.8:326-1)x100 =</h3><h3>
100 =130-100 = 30% Increase </h3>
7 Original amount: 27
End amount: 38.61
<h3>
(38.61-27):27x100 =</h3><h3>
100 =(38.61:27-1)x100 =</h3><h3>
100 =143-100 = 43% Increase</h3>
8 Original amount: 60
End amount: 70.02
<h3>
(70.02-60):60x100 =</h3><h3>
100 =(70.02:60-1)x100 =</h3><h3>
100 =116.7-100 = 16.7% Increase</h3>
Answer:
7. combination; 25C6 = 177100
8. combination; 15C5 = 3003
Step-by-step explanation:
7. The order of the committee member selections is not important. (It would be if specific people filled specific positions on the committee.) Hence, the number is a number of combinations of 25 people taken 6 at a time.
__
8. The order of players is not important, as it might be if specific choices filled specific positions on the team. (The problem statement gives no indication that is the case. It is only by our knowledge of basketball teams that we entertain the possibility that order might be important.) Hence, the number is a number of combinations of 15 people taken 5 at a time.
_____
Of course, nCk = n!/(k!(n-k)!)
Answer:
D
11 - x <_ 18
11 - 7 <_ 18
4 <_ 18 (4 is less than or equal to 18)
Answer:
Step-by-step explanation:
