Step-by-step explanation:
Given the expression for the net value of an entertainment company after t months modeled by the equation;
v(t)=4t²-24t-28
1) To write the expression in a factored form, we need to factorize the equation given;
v(t)=4t²-24t-28
divide through by 4
v(t)=t²-6t-7
v(t)= t²-7t+t-7
v(t)= t(t-7)+1(t-7)
v(t)= (t+1)(t-7)
Hence the function in a factored or vertex form is v(t)= (t+1)(t-7)
2) To know the number of months after the company creation that the company reaches its lowest value, we will substitute v(t) = 0 into the factored form of the expression as shown;
v(t)= (t+1)(t-7)
0 = (t+1)(t-7)
(t+1)(t-7) = 0
t+1 = 0 and t-7 = 0
t = -1 and t = 7
But t cannot be negative
Hence t = 7 months
This means that the company reaches its lowest net value after 7 months
Set up the problem as a ratio:
78 x
----- = ----
100 350
100x = 27,300
x = 273
$273.00
Answer:
f(5) = 25
Step-by-step explanation:
f(x) = 3x + 10
f(5) = 3(5) + 10
f(5) = 15 + 10
f(5) = 25
Answer:
there are 7 days in a week x 0.10 cents saved each day on the week = 0.70 cents every week
Step-by-step explanation:
