Answer:
17c + 9 = 10c + 9 - 7c
COMBINE LIKE TERMS
10c + 7c = 17c
9 IS NOT A LIKE TERM, SO WE LEAVE IT ALONE
Answer:
x³ - 6x² + 18x - 10
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
= x³ - 2x² + 12x - 6 - (4x² - 6x + 4)
= x³ - 2x² + 12x - 6 - 4x² + 6x - 4 ← collect like terms
= x³ - 6x² + 18x - 10
Answer:
a. 1/10 or 10%
b. 1/2 or 50%
Step-by-step explanation:
Since the combination of machines 1, 2 and 3 produce 100% of the total output when added together, then the probability of choosing a bolt at random that is defective is: 5 + 2 + 3 = 10% out of 100% or 10/100, which is 1/10 or 10%.
If the bolt that is choosen at random is defective, than the probability that it came from machine 1 is 5/10 or 1/2 which is also 50%.
Answer:
y = 40 / x^1/3
Step-by-step explanation:
Given that :
y α x^1/3
y = k * 1 / x^1/3
y = k / x^1/3
When x = 125 ; y = 8
8 = k / 125^1/3
Cube root of 125 = 5
8 = k / 5
8 * 5 = k ; k = 40
Hence, expression becomes :
y = 40 / x^1/3
Answer:
-b -3/2
Step-by-step explanation:
-1/2(8b+3) + 3B (a negative times a positive equals a negative)
1. Mutiply -1/2 by 8b and then by 3
(-1/2 x 8b -1/2 x 3) + 3b
-4b - 3/2 + 3b
2. Add -4b + 3b = -b
-b - 3/2