Answer:
C
Step-by-step explanation:
The function f(x) = -1/3x - 5 will be verbally described using the words for the operations of multiplication and subtraction. These words would include difference, product, decrease, subtracted, less than and times. The options include:
A. The function value is the difference between x times -1/3 and 5.
This is the equation since it separates the -1/3x and 5 terms using the word and.
B. The function value is 5 less than the product of x and 1/3.
This is the equation since it separates the -1/3x and 5 terms using the word and.
C. The function value is -1/3 of x subtracted from 5.
This is NOT the equation since it DOES NOT separate the -1/3x and 5 terms using the word and. It also suggests 5 - 1/3x by subtracting from 5.
D. The function value is -1/3 of x decreased by 5.
Though this doesn't use the word and, it separates the -1/3 and 5 terms by the order and still subtracts 5.
Answer: (-3,6)
Step-by-step explanation:
multiply the bottom by 2
12x-8y=-12
12x+8y=-60
-------------------
24x=-72
x=-3
so.......
12(3)-8y=-12
36-8y=-12
-8y=-48
y=6
Answer: 0.6827
Step-by-step explanation:
Given : The resistance of a strain gauge is normally distributed .
Population mean : 
Standard deviation : 
Let x be the random variable that represents the resistance of a strain gauge is normally distributed .
z-score : 
To meet the specification, the resistance must be within the range 100±0.7 ohms i.e. (99.3,100.7).
For x = 100.7

For x = 99.3

By using the standard normal distribution table, The proportion of gauges is acceptable is given by:-

Hence, the proportion of gauges is acceptable=0.6827
Answer:
net will be $1,625.00
Step-by-step explanation:
2500 gross
taxes are 35%
2500 x 35% = 875
2500-875= 1625