9514 1404 393
Answer:
51
Step-by-step explanation:
The rule gives the sequence ...
75, 69, 63, 57, 51, 45, ...
The 5th number in the sequence is 51.
__
<em>Alternate solution</em>
The equation for the general term of an arithmetic sequence is ...
an = a1 +d(n -1) . . . . . for first term a1 and common difference d
Your sequence has first term 75 and common difference -6, so the equation is ...
an = 75 -6(n -1)
Then for n=5, the term is ...
a5 = 75 -6(5 -4) = 75 -24 = 51
The 5th term is 51.
Step-by-step explanation:
Given data
C(x)=12x+114
R(x)=6x.
The company will start to run on profit just when revenue equals the production cost, that is
C(x)=R(x)
equating the two expressions we have
12x+114=6x
solving for x we have
12x-6x+114=0
6x+114=0
6x=-114
x=-114/6
x=-19
Hence the company will start to run on proft when they start to produce above 19 items
Answer:

Step-by-step explanation:
has a negative, fractional indice; this negative sign in this context means to make the base fraction a reciprocal (flip it!):
The denominator is the value by which we should root, then the numerator is the power the fraction should be raised to: [root and then raise]
This fraction then becomes:

Which of the sets of ordered pairs represents a function? A = {(1, −5), (8, −5), (8, 7), (2, 9)} B = {(7, −4), (7, −2), (6, −3),
jek_recluse [69]
Answer:
Neither A or B
Step-by-step explanation:
Hello There!
In order for a set of ordered pairs to represent a function none of the x values can repeat
In answer choice A the x value 7 repeats therefore the set of ordered pairs do not represent a function
In answer choice B the x value 7 repeats therefore the set of ordered pairs do not represent a function
so we can conclude that neither set of ordered pairs represent a function
Answer:
correct
Step-by-step explanation:
3(4)-2(4)+8=12
12-8+8=12
12=12