Answer:
80 Stuffed Animals
Step-by-step explanation:
Dolls : Stuffed Animals
9 : 3
240 : x
x is 80
a term will be the expression between the + or - signs
![\bf \stackrel{\stackrel{one}{\downarrow }}{x^2}+\stackrel{\stackrel{two}{\downarrow }}{xy}-\stackrel{\stackrel{three}{\downarrow }}{y^2}+\stackrel{\stackrel{four}{\downarrow }}{5}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Cstackrel%7Bone%7D%7B%5Cdownarrow%20%7D%7D%7Bx%5E2%7D%2B%5Cstackrel%7B%5Cstackrel%7Btwo%7D%7B%5Cdownarrow%20%7D%7D%7Bxy%7D-%5Cstackrel%7B%5Cstackrel%7Bthree%7D%7B%5Cdownarrow%20%7D%7D%7By%5E2%7D%2B%5Cstackrel%7B%5Cstackrel%7Bfour%7D%7B%5Cdownarrow%20%7D%7D%7B5%7D)
Answer:
Step-by-step explanation:
- speed = distance / time
- time = distance / speed
a)
i)
<u>Time taken at the first part:</u>
ii)
<u>Time taken at the second part:</u>
- (190 - 105) / (x + 12) =
- 85/(x + 12)
b)
<u>If time is 3 hours and 15 minutes = 3 1/4 hours = 13/4 hours, the equation is:</u>
- 105/x + 85/(x + 12) = 13/4
- 4(x + 12)*105 + 4(85x) = 13x(x + 12)
- 13x² - 604x - 5040 = 0
c)
<u>Solve the equation:</u>
- 13x² - 604x - 5040 = 0
- x = [604 ± √((-604)² + 4*13*5040) ]/26 =
- [604 ± √626896]/26 =
- [604 ± 791.77]/26
- x = (604 + 791.77)/26 = 53.68 km/h (taking positive root only)
d)
- 105/x = 105/53.68 h = 1.956 h = 1 h 0.956*60 min = 1 h 57 min (rounded)
- 85/(53.68 + 12) = 85/65.68 = 1.294 h = 1 h 0.294*60 min = 1 h 18 min (rounded)
Answer:
(-1,-1) works (5,5) does not
Step-by-step explanation:
y<1/4x+1
3x+2
-1<1/4(-1)+1
3(-1)+2
-1<-1/4+1
-3+2
-1<.75
-1