Answer:
Step-by-step explanation:
If DE = 4x+10,EF =2X -1, and DF= 9x - 15 find DF
(de + ef ) - df = 2e || 2e/2 = e || ed - e = d || ef - e = f || f + d = df
de + ef = 6x + 11 || (6x +11) - df = -3x -6 || 2e/2 = -3x/2 - 3 || (-3x/2 - 3) - de = x/2 + 7|| (- 3x/2 - 3) - ef = -x/2 - 1|| d + f = 6
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
6(15) + 10b > = 200
90 + 10b > = 200
10b > = 200 - 90
10b > = 110
b > = 110/10
b > = 11
so she can do 15 days of running plus 11 days of biking....which totals 26 days
185/100 + 50/100 +4/100
= (185+50+4)/100
=239/100
=2.39
<span>When a = 3 and b ≠ 5, the system will be inconsistent because the lines will be parallel. When a = 3 and b = 5, the system will be consistent and dependent because they represent the same line.</span>
