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
Answer:
Choice D - 8cm and 9cm.
Explanation:
The other sides are not greater than 13.
A: 5 + 8 = 13
B: 6 + 7 = 13
C: 7 + 2 = 9
However, D is greater than 13 and is the correct answer.
D: 8 + 8 = 16.
I'll do a similar problem, and I challenge you to do this using similar techniques!
If John works for 15$ a hour with his friends rather than working for 20$ an hour for 50 hours a month, what's the monthly opportunity cost?
John would make 20*50=1000 dollars a month at the second option as he makes 20$ an hour 50 times. Next, if he works with his friends, he makes 15*50=750 dollars as he works 50 hours for 15 dollars an hour, or adds 15 50 times.
His opportunity cost would be <highest money>-<lowest money>=1000-750=250 dollars a month. Good luck on this question, and feel free to ask further questions!
Answer:
A: -16/3
B: 16/3
C: -6
D: -6
E: 6
Step-by-step explanation:
A would be -16/3 because you multiply -2 time 8 which is 116. And the denominator is 3.
B would be 16/3. It is the same as problem A but there are two negatives which make positive.
C is -6. You just divide -18/3.
D is the exact same as C. It just has parenthesis but the answer is still -6.
E is 6 because there are two negatives which make a positive.
Answer:
they are corresponding angles
