Answer:
only (-4,0) is a reasonable solution.
Step-by-step explanation:
In order to see which ones are reasonable we need to apply the points to the system and check if they make both equations valid at the same time.
y = -x - 4
y = x² + x - 12
For (-4, 0):
0 = -(-4) - 4 -> 0 = 4 -4 -> 0 = 0 (valid)
0 = (-4)² - 4 - 12 -> 0 = 16 - 16 -> 0 = 0 (valid)
For (-3, -1):
-1 = -(-3) -4 -> -1 = 3 -4 -> -1 = -1 (valid)
-1 = (-3)² -1 - 12 -> -1 = 9 -13 -> -1 = -4 (invalid)
For (2, -6):
2 = -(-6) - 4 -> 2 = 6 -4 -> 2 = 2 (valid)
2 = (-6)² -6 -12 -> 2 = 36 -18 -> 2 = 18 (invalid)
Therefore only (-4,0) is a reasonable solution.
Answer:
D
Step-by-step explanation:
given the 2 equations
x + 2y = 27 → (1)
2x + 3y = 46 → (2)
Rearrange (1) expressing x in terms of y by subtracting 2y from both sides
x = 27 - 2y ← substitute into (2)
2(27 - 2y) + 3y = 46
54 - 4y + 3y = 46
54 - y = 46 ( subtract 54 from both sides )
- y = - 8 ( multiply both sides by - 1 )
y = 8 → D
Answer:
Step-by-step explanation:
as the chart is broken into steps with the same precision we're looking for. Just choose the one where height is closest to zero or 0.6 s
To do it mathematically
The equation is
h = 2 - ½gt²
to find g, plug in a time and height
0.236 = 2 - ½g(0.6²)
g = 9.8 m/s
check another one just to be sure
1.559 = 2 - ½(9.8)0.3²
1.559 = 1.559
now plug in zero elevation with an unknown time
0 = 2 - ½(9.8)(t²)
-2 = - ½(9.8)(t²)
t² = 4/9.8
t = 0.6388765...
t = 0.6 s
Answer:
1. $441.75
2. $456.50
Step-by-step explanation:
Question 1:
9.5 × 40 = 385
Jim will earn $385 dollars from his regular without overtime every week (pretend that he did not get paid overtime from that week.)
Since he got 40 regular hours plus 6.5 hours for overtime, his pay from last week is $441.75
9.5 × 46.5 = $441.75
Question 2:
Since she has gotten over $5000 in sales from that week, she earned $456.50
8550 - 5000 = $3550
3% of 3550 = 106.5
$350 + $106.5 = $456.50
Her expected total earning from that week is $456.50
Answer:
(ii) is correct, please proceed.
Step-by-step explanation:
