Answer:
x < 5
Step-by-step explanation:
2 x +8 < 18
Subtract 8 from each side
2x+8-8 < 18 -8
2x< 10
Divide by 2
2x/2 < 10/2
x < 5
Logx (8x-3) - logx 4 = 2
logx [(8x-3)/4] = 2
x^2=(8x-3)/4
4x^2=4(8x-3)/4
4x^2=8x-3
4x^2-8x+3=8x-3-8x+3
4x^2-8x+3=0
4(4x^2-8x+3=0)
(4^2)(x^2)-8(4x)+12=0
(4x)^2-8(4x)+12=0
(4x-2)(4x-6)=0
2(4x/2-2/2)2(4x/2-6/2)=0
4(2x-1)(2x-3)=0
4(2x-1)(2x-3)/4=0/4
(2x-1)(2x-3)=0
Two options:
1) 2x-1=0
2x-1+1=0+1
2x=1
2x/2=1/2
x=1/2
2) 2x-3=0
2x-3+3=0+3
2x=3
2x/2=3/2
x=3/2
Answer: Two solutions: x=1/2 and x=3/2
Answer:
According to the passage, we have the next equation:

where "K" is a proportional constant
Leaving at the end with the next equation:

Integrating the equation, we have:

where "C" is a constant
Then, we have the 2 conditions for the problem:
1) t=0 → r=10
Replacing in the equation, we have C = 10
2) t=5 → r=8
Replacing in the equation, we have K = -0.4
Finally, the time which the snowball will be completely melted will be when r = 0. So replacing in the equation

t = 25 minutes
Answer:

Step-by-step explanation:
The diagram is drawn and attached below.
From the diagram


2 and 1/2 - 1 and 1/2
since both equations have 1/2, 1/2 - 1/2 automatically is 0
then youll need to subtract 1 from 2 which is 1
Answer- 1