Answer:
D) x > -4
Step-by-step explanation:
6x - 5 > -29
6x > -29 + 5
6x > -24
x > -4
Answer:
x = 1
Explanation:

Rule: log(a) + log(b) = log(ab)

cancel out log on both sides

relocate constant variable

take 3 as a common factor

divide both sides by 3

middle term split

factor common terms

collect into groups

set to zero

relocate variables

There must be a positive solution for log, so the solution is only x = 1
12 vertices are on the polyhedron
Answer:
43 minutes
Step-by-step explanation:
- <em>Let cycling speed be x and driving speed be y</em>
<u>Equations as per given, considering same distance in both cases:</u>
- 19x + 8y = 13x + 10y
- 19x - 13x = 10y - 8y
- 6x = 2y
- 3x = y
We see that driving speed is 3 times greater than cycling speed
Then 8 minutes driving = 8*3= 24 minutes of cycling, or 10 minutes of driving = 10*3= 30 minutes of cycling:
- 19 + 24 = 43 minutes or
- 13 + 10*3 = 43 minutes is the time to cycle between A and B