Answer:
- 12x +9y ≥ 510
- y ≤ 2x
- y ≥ 25
Step-by-step explanation:
Phoebe earns 12x for her yard weeding, and Richie earns 9y for his dog walking. They want the sum of these earnings to be at least 510, so the first constraint inequality is ...
12x +9y ≥ 510
__
Richie plans to walk no more than 2x dogs, since y is the number of dogs he walks, the second constraint is ...
y ≤ 2x
__
Richie will walk at least 25 dogs, so ...
y ≥ 25
There are two cases:
1.
2.
So the minimum temperature is -6, and the maximum is 18.
Answer:
x = 2 or 1/4
Step-by-step explanation:
-13/4 -x= 1/2x -1
Collect like terms
-13/4+1=1/2x+x
Using LCM
(-13+4)/4=(1+2x²)/2x
9/4=(1+2x²)/2x
Cross multiply
9(2x)=4(1+2x²)
18x=4+8x²
Turn into quadratic and solve
8x²-18x+4
Using formulae method
-b±(√b²-4ac)/2a
Where a=8, b= -18 and c=4
(-(-18)±(√(-18)²-4(8)(4))/2(8)
(18±(√324-128))/16
(18±√196)/16
(18±14)/16
(18+14)/16 or (18-14)/16
32/16 or 4/16
2 or 1/4
1.87 is 8.5% of 22 so 8.5% of 80 is 0.085 x 80 so $6.80
Least is on top, Greatest is on bottom
-24,825
-9.75
-9.7
80
