For the expression to be factor-able the Discriminant , has to be greater or equal to zero
ax^2 + cx + b = 0
c^2 - 4 ab >= 0
(-3)^2 - 4 * 1 * b >= 0
9 - 4b >= 0
9 >= 4b
b <= 9/4 (2.25)
Pick any value in that range for ex:
0 , 2, -3, -6
Answer:
Option D [
] in the list of possible answers
Step-by-step explanation:
For this problem you are supposed to use a calculator that allows you to do an exponential regression. There are many tools that can help you with that, depending on what your instructors has assigned for your class.
I am showing you the results of a graphing tool I use, and which after entering the x-values and the y-values in independent "List" forms, when I request the exponential regression to fit the data, I get what you can see in the attached image.
Notice that the exponential of best fit with my calculator comes in the form:
with optimized parameters:
Notice as well that since:
the exponential best fit can also be written:
and this expression is very close to the last option shown in your list of possible answers
Answer:
44
Step-by-step explanation:
k=1: 2*1-4 = -2
k=2: 2*2²-4 = 4
k=3: 2*3²-4 = 14
k=4: 2*4²-4 = 28
-2 + 4 + 14 + 28 = 44
Given:
2 walls - 14ft by 9ft
2 walls - 20ft by 9ft
Wall 1 & 2 = 14ft * 9ft = 126 ft² x 2 = 252 ft²
Wall 3 & 4 = 20ft * 9ft = 180 ft² x 2 = 360 ft²
Total area = 252 ft² + 360 ft² = 612 ft²
Cost of 1 single roll: $20
612 ft² ÷ 18 ft² = 34 rolls * $20 = $680
Cost of double roll: $40
612 ft² ÷ 54 ft² = 11.33 rolls ⇒ 12 double rolls
12 * $40 = $480
If Christopher opts for 1 single roll of wallpaper, he'll spend $680.
If he opts for double roll of wallpaper, he'll spend $480.
Double roll of wallpaper is the cheaper option. He'll save $200 if he'll buy the double roll of wallpaper.
