Answer:
x = 9.125 and 0.875
Step-by-step explanation:
Given the expression
log (x² + 8) = 1 +log(x)?
This can also be written as;
log (x² + 8) = log 10 +logo(x)
log (x² + 8) = log(10x)
(x² + 8) = (10x)
x² -10x + 8 = 0
Factorize;
x = 10±√(-10)²-4(8)/2
x = 10±√100-32/2
x = 10±√68/2
x = 10±8.25/2
x = 10+8.25/2 and 10-8.25/2
x = 18.25/2 and 1.75/2
x = 9.125 and 0.875
Answer:
4:18 pm
Step-by-step explanation:
An airport offers 2 shuttles that run on different schedules.If both shuttles leave the airport at 4:00 p.m.,at what time will they next leave theairport together.
Shuttle A leaves every 6 minutes
Shuttle B leaves every 9 minutes
Solution
To solve for when next both shuttles will leave the airport together, find the least common multiples of 6 minutes and 9 minutes
Shuttle A (every 6 minutes) = 6, 12, 18, 24
Shuttle B (every 9 minutes) = 9, 18, 27, 36
The least common multiples of 6 minutes and 9 minutes is 18 minutes
4:00 pm + 18 minutes
= 4:18 pm
The next time both shuttles will leave theairport together is 4:18 pm of the same day
Answer:
Step-by-step explanation:
The probability that a randomly selected cap will not be green is equal to the number of non-green caps divided by the total number of caps.
Since there are 100 caps total and 22 are green, there must be 
non-green caps.
Divide this by the total number of caps (100) to get the probability that a randomly selected cap will not be green:
Simplify by dividing both the numerator and denominator by 2:
Answer:
1
Step-by-step explanation:
Simplifying
3x + 2(4x + -4) = 3
Reorder the terms:
3x + 2(-4 + 4x) = 3
3x + (-4 * 2 + 4x * 2) = 3
3x + (-8 + 8x) = 3
Reorder the terms:
-8 + 3x + 8x = 3
Combine like terms: 3x + 8x = 11x
-8 + 11x = 3
Solving
-8 + 11x = 3
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 11x = 3 + 8
Combine like terms: -8 + 8 = 0
0 + 11x = 3 + 8
11x = 3 + 8
Combine like terms: 3 + 8 = 11
11x = 11
Divide each side by '11'.
x = 1
Simplifying
x = 1
Answer:
No lol
Step-by-step explanation:
No
