A) 5000 m²
b) A(x) = x(200 -2x)
c) 0 < x < 100
Step-by-step explanation:
b) The remaining fence, after the two sides of length x are fenced, is 200-2x. That is the length of the side parallel to the building. The product of the lengths parallel and perpendicular to the building is the area of the playground:
A(x) = x(200 -2x)
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a) A(50) = 50(200 -2·50) = 50·100 = 5000 . . . . m²
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c) The equation makes no sense if either length (x or 200-2x) is negative, so a reasonable domain is (0, 100). For x=0 or x=100, the playground area is zero, so we're not concerned with those cases, either. Those endpoints could be included in the domain if you like.
Answer:
-7/10
Step-by-step explanation:
To find the slope of a line, you need to find the 
between two points. I will be using the points (-3, 5) and (7, -2).
= 
= 
= -7/10
Volume of a sphere is given by the formula:
If we pull the 4 out front we have,
.
Volume of a cone is given by the formula:
Notice that if the height of the cone is equal to the radius,
then it's exactly what we see in our volume formula without the 4!
Answer:
1. 3 packs of daffodils and 4 packs of tulips
2. then you would have 24 of each
3. $2.29
4. $37.54
5. $34.61
6.$2.93 was saved
7. 3 tulips
8. 12 daffodils
9. 9 tulips
10. 12 daffodils and 15 tulips
theres 2 left. ill let someone else do it
Step-by-step explanation:
3. 4.50*4=18 5.75*3=17.25
18+17.25 -> 35.25*.065=2.29 rounded
4. 35.25+2.29=37.54
5. 35.25-2.75->32.50*.065=2.11 2.11+32.50=34.61
6. 37.54-34.61=2.93
7. 6:8 -> 3:4 ratio -> 3:4
8. 8+4=12
9. 6+3=9
10. 24-12=12 24-9=15
13 factored out is 13x - 39 add 39 to both sides it equals 13x=78 and 78 divided by 13 is 6 the anwser is x=6
