Take x as common factor x(x^2-12x-2)+24
Answer:
3.75 hours
Step-by-step explanation:
Bob completes his homework in 2.5 hours.
In 1 hour, he completes 1/2.5 of his homework.
Joe completes his homework in x hours.
In 1 hour, he completes 1/x of his homework.
Together, they complete the homework in 1.5 hours.
In 1 hour, they do 1/1.5 of the homework.
1/2.5 + 1/x = 1/1.5
Convert the decimal numbers in the numerators into fractions.
1/(5/2) + 1/x = 1/(3/2)
2/5 + 1/x = 2/3
Multiply both sides by the LCD, 15x.
6x + 15 = 10x
-4x = -15
x = 3.75
Answer: 3.75 hours
Answer:
D. x <= -3 or x >= 5
Step-by-step explanation:
3 | x-1 | > = 12
3(x - 1) >= 12
3x - 3 >= 12
3x >= 15
x >= 5
or
-3(x - 1) >= 12
-3x + 3 >= 12
-3x >= 9
x <= -3
Answer
x <= -3 or x >= 5
Answer:
3/4
Step-by-step explanation:
8x = 6
x = other number = 6/8 = 3/4
$16 per month can be changed to 16m where m represents months.
The $2 per Pilates class can be 2p where p represents Pilates classes.
An equation of y = 16m + 2p can be set up, where y represents how much McKenna is charged total for gym membership ($52)
52 = 16m + 2p
We know that McKenna attended 12 Pilates classes, and we also know that McKenna attended 1 month, so we plug this in:
52 = 16(1) + 2(12) (simplify)
52 = 16 + 24 (add 24)
52 = 40
Since this is not equal, $52 is not the correct amount to be charged.
