Answer:
(3/2) and (-7/3)
Step-by-step explanation:
6x^2+5x-21 factor
6*21=126
14*9=126 and 14-9=5
( 2x-3)(3x+7)
0= 2x-3 0=3x+7
3=2x -7=3x
3/2 =x -7/3=x
Answer:
n = 12$ x = 8$ y = 10$ where n, x, and y are number of tickets
12 n + 8 x + 10 y = 3920 and n + x + y = 420
12n + 8 (x + y) + 2 y = 3920
12 n + 8 (5 n) + 2 y = 3920 since 5 (x + y) = n
52 n + 2 y = 3920 or y = 1960 - 26 n
Also, n + x + y = 420 or n + 5 n = 420 since x + y = 5 n
n = 70 so 70 of the $12 were sold
And since y = 1960 - 26 n we have y = 140 tickets
Now 12 * 70 + 8 x + 140 * 10 = 3920
This gives x = 210 tickets
Check: 210 + 140 + 70 = 420 tickets
Also, 12 * 70 + 210 * 8 + 140 * 10 = 3920
Answer:
if I read your screen correctly
40
Step-by-step explanation:
divide the larger one (Sr) by smaller one (F)
the coefficient = 2/5
the exponent = -7-(-8)
can you get the answer from there, don't forget to simplify
1 ft = 12 inches
6 ft = 72 inches (multiply both sides by 6)
6 ft + 2 inches = 72+2 = 74 inches
6 ft, 2 inches = 74 inches
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1 ft = 12 inches
2 ft = 24 inches
2 ft + 1 in = 24+1 = 25 inches
2 ft, 1 in = 25 inches
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1 ft = 12 inches
3 ft = 36 inches
3 ft + 7 in = 36+7 = 43 inches
3 ft, 7 in = 43 inches
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To rewrite the problem a bit in equivalent form, we have a man who is 74 inches cast a shadow that is 25 inches long. The tree has a shadow of 43 inches. We want to find the height of the tree, which for now we'll call x
(tree height)/(tree shadow) = (person height)/(person shadow)
x/43 = 74/25
25x = 43*74
25x = 3182
x = 3182/25
x = 127.28 inches
The tree is 127.28 inches tall which is the same as 10 ft, 7.28 inches
because 127/12 = 10 remainder 7, then we add on the 0.28 portion
Sorry about the drawing but the line starts at the origin of the graph and since it is -x which means it has a negative slope. So the line would start at the origin going down by the slope of -1. hope this makes sense
