Answer:
Part 1) The maximum number of pounds of regular coffee that you can buy is 7.5 pounds.
Part 2)
Step-by-step explanation:
Part 1)
Let
x-----> the number of pounds of regular coffee
we know that
The inequality that represent the situation is
Solve for x
Divide by 2 both sides
The maximum number of pounds of regular coffee that you can buy is 7.5 pounds.
The solution of the inequality is the interval ------> (-∞,7.5]
but the number of pounds cannot be a negative number
therefore
The solution is the interval -----> [0,7.5]
see the attached figure
Part 2) we have
Adds m and n
Group terms that contain the same variable
Combine like terms
Answer:
= - 5n - 2
Step-by-step explanation:
There is a common difference between consecutive terms, that is
- 12 - (- 7) = - 17 - (- 12) = - 5
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 7 and d = - 5, then
= - 7 - 5(n - 1) = - 7 - 5n + 5 = - 5n - 2
Answer: 1 2/3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Since the polynomial is of degree 2, there will be 2 roots
To find the roots let y = 0, that is
x - 4x² + 3x = 0
4x - 4x² = 0 ← factor out 4x on the left side
4x(1 - x) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
1 - x = 0 ⇒ x = 1
The 2 roots are x = 0 and x = 1