Answer:
y = -7
Step-by-step explanation:
Minus the five from both sides
Answer:
b(t) = 70,000 + 3000t . . . . . salary after t years; t∈{0,1,2,3,4,5,6}
Step-by-step explanation:
We can let b(t) represent Benny's salary function with t being the number of completed years at the law firm, an integer. The function's domain includes only the first 6 years at the firm.
Since Benny gets the same raise each year, The function is linear. Its "y-intercept" is Benny's initial salary, and the rate of change is Benny's annual increase:
b(t) = 70,000 + 3,000t . . . . salary in dollars after t years with the firm
Answer:
The vertex is the point 
Step-by-step explanation:
we know that
The general form of an absolute value equation is

The variable a tells us how far the graph stretches vertically, and whether the graph opens up or down. The variables h, and k, tell us how far the graph shifts horizontally and vertically
The vertex is the point (h,k)
we have

Rewrite the expression (3x+1)

substitute



therefore
The vertex is the point 
see the attached figure to better understand the problem
Answer:
The system if equation that can be used to derive this are
6x + 4y = 69 AND
12x + y = 96
The price of a drink is $7.5
Step-by-step explanation:
The question here says that Taylor and Nora went to the movie theater and purchase refreshments for their friends. Taylor spends a total of $69.00 on 6 drinks and 4 bags of popcorn Nora spends a total of $96.00 on 12 drinks and bag of popcorn.And we are now told to write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations,we should determine and state the price of a drink, to the nearest cent .
Now, Let's assume that the price of a drink is "X" and that of a bag of popcorn to be Y
The first person made a purchase which led to the equation
6x + 4y = 69______ equation 1
And the second person also made a purchase that lead to the equation
12x + y = 96_____ equation 2
We make y the subject of the formula in equation 2 and apply it in 1
Y = 96 - 12x
Now apply the above in equation 1
6x + 4y = 69
6x + 4(96 - 12x)= 69
6x + 384 - 48x = 69
42x = 384 - 69
X = 315/42
X = 7.5
Substitute x= 7.5 in equation 2
12x + y = 96
12(7.5) + y = 96
90 + y = 96
Y = 6
Therefore, the price of a drink is $7.5