Nadia bought 4.3 pounds of ham on Tuesday and 1.7 pounds of ham on Wednesday. She spent a total of $41.94. What was the price of
1 answer:
You might be interested in
Answer:
2 real solutions
Step-by-step explanation:
Remember this messy thing?
The <em>quadratic formula</em>, as it's called, gives us the roots to any quadratic equation in standard form (ax² + bx + c = 0). The information on the <em>type</em> of roots is contained entirely in that bit under the square root symbol (b² - 4ac), called the <em>discriminant</em>. If it's non-negative, we'll have <em>real</em> roots, if it's negative, we'll have <em>complex roots</em>.
For our equation, we have a discrimant of (-3)² - 4(6)(-4) = 9 + 96 = 105, which is non-negative, so we'll have real solutions, and since quadratics are degree 2, we'll have exactly 2 real solutions.
Answer:
The minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.
Step-by-step explanation:
We are given the following information in the question:
Charges for 1 hour for Inna = $15
Number of pages typed by Inna in 1 hour = 6
Charges for 1 hour for Jim = $18
Number of pages typed by Jim in 1 hour = 8
Let x be the number of hours Inna work and let y be the number of hours Jim work.
Total cost =
We have to minimize this cost.
Then, we can write the following inequalities:
The corner points as evaluated from graph are: (8,20) and (24,8)
C(8,20) = 480$
C(24,8) = 504$
Hence, the minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.
The attached image shows the graph.
