Answer:
Pencils: 7 boxes
Erasers: 5 boxes
Step-by-step explanation:
She should buy 70 pencils and 70 erasers.
There are 7 pencil boxes for 70 pencils.
There are 5 eraser boxes for 70 erasers.
These are the smallest number of boxes she can buy without getting a fraction of a box.
Answer:
The range is [7, -infinity)
Step-by-step explanation:
Since the leading coefficient is negative and it is a degree 2 polynomial, it is a parabola opened for downwards.
Answer:
36¢ per pound
Step-by-step explanation:
In 1995, the price per pound was ...
($24.7 million)/(15 million lb) = $1.6467/lb
In 2000, the price per pound was ...
($31,297,583)/(15,616,728 lb) = $2.0041/lb
The difference was ...
$2.0041 -1.6467 = $0.3574 ≈ 36¢ . . . per pound
_____
In a calculation such as this, you want to keep enough significant digits so that you can appropriately round the final answer. Here, the result would be different if intermediate values were rounded to whole cents.
Answer:
(x + 7)^2 = 64
Step-by-step explanation:
x^2 + 23x – 19 = 9x - 4
x^2 + 23x - 9x = -4 + 19
x^2 + 14x = 15 = 0
Completing the square:
(x + 14/2)^2 - (14/2)^2 = 15
(x + 7)^2 - 49 = 15
(x + 7)^2 = 64
1/2x - 2/5x = -2
1/10x = -2
x = -20