The volume of a box is given by V = 2x3-11x2 +10x +8. One side is (x - 4) and another side is (2x + 1).
2 answers:
Answer:
The length of the third side is ( x - 2 )
Step-by-step explanation:
Volume of a box is the product of its length, width and height.
Volume of box = length × width × height.
One side is (x - 4) and another side is (2x + 1).
These given sides can be either length, height or width.
The volume of a box is given by V = 2x3-11x2 +10x +8. This means each of the sides are factors of the volume. To get the third side, we divide the volume by the product of the two given sides.
Product of the two given sides =
( x-4 ) (2x + 1) = 2x^2 + x - 8x + 4
= 2x^2 - 7x - 4
The long division is shown on the attached photo
The length of the third side is ( x - 2 )
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Answer:
It would cost <u>15600</u> to provide coffee for the whole year.
Step-by-step explanation:
Given:
If 100 people drink 1.5 cups of coffee a day and the cost per cup is .40
Now, to find the cost to provide coffee for the whole year if you're place is open 5 days a week.
So, we have the unit rate, and we have to find the cost of 1.5 cup by multiplying 0.40.
<em>1.5 cup of coffee cost </em>
<em>Thus, 1.5 cup cost 0.60.</em>
<em>If, 100 people drink 1.5 cups. </em>
<em>Then, total cost of 100 people drinking 1.5 cups of coffee = </em><em />
<em>As, place is open 5 days a week.</em>
So, to get the cost of coffee in 5 days of a week we multiply 5 by 60:
<em>Hence, the cost of coffee in a week is 300.</em>
<em>In 1 year there are 52 weeks.</em>
Now, to get the cost for the whole year we multiply 52 by 300:
Therefore, it would cost 15600 to provide coffee for the whole year.
Answer:
13
Step-by-step explanation:
Given:
- Square stickers that were 3/4 in long
- The spine is 10 and 1/2 in long
If she laid the stickers side by side without gaps or overlaps so the number of sticker to cover the length of the spine:
10 : ≈13
She needs 13 stickers cover the length of the spine
Answer:
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
Step-by-step explanation:
In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.
Given function is:
Taking first derivative
Now the first derivative has to be put equal to zero to find the critical value
The function has only one critical value which is 5.
Taking 2nd derivative
As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5
The value can be found out by putting x=5 in the function
Hence,
<u>The function y = x 2 - 10x + 31 has a minimum value of 6</u>
Hence,
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.