Answer:
The standard equation of the parabola is:
Step-by-step explanation:
An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.
We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.
Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:
Then the equation of the parabola becomes:
Answer:
351.48cm²
Step-by-step explanation:
Heron’s Formula
Find half the perimeter (30+30+26)/2=43
It’s the square root of each side subtracted from 43, multiplied together, times 43.
√(43-30)*(43-30)*(43-26)*43=√13*13*17*43=√=123539=351.481cm²
The total cost curve shows the cost of total shipment from the different
cities.
- a. Please find attached the graph of the total cost to quantity of shipment created with MS Excel.
- b. The city that provides the lowest overall cost is; <u>Salt Lake City</u>.
Reasons:
The given parameters are;
The number of shipment per = From 550,000 to 600,000 per year
The given table is presented as follows;
![\begin{tabular}{|l|c|c|c|}Location&Annual Fixed Costs&Variable Cost \\Denver&\$5,000,000&\$4.65 \\Santa Fe&\$4,200,000&\$6.25\\Salt Lake City&\$3,500,000&\$7.25\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%7B%7Cl%7Cc%7Cc%7Cc%7C%7DLocation%26Annual%20Fixed%20Costs%26Variable%20Cost%20%5C%5CDenver%26%5C%245%2C000%2C000%26%5C%244.65%20%5C%5CSanta%20Fe%26%5C%244%2C200%2C000%26%5C%246.25%5C%5CSalt%20Lake%20City%26%5C%243%2C500%2C000%26%5C%247.25%5Cend%7Barray%7D%5Cright%5D)
a. Required:
The plot total cost curve for the locations on a single graph.
Solution:
- Please find attached the graph of the total cost curves created with MS Excel
b. Required:
The city that provides the lowest overall cost.
Solution:
The two cities with the lowest overall costs are Denver and Salt Lake City.
- From the total cost curve, the area under the curves are;
Area under the curve for Denver;
(7557500 + 7790000) ÷ 2 × 50,000 = 383687500000
Area under the curve for Salt Lake City
(7487500 + 7850000) ÷ 2 × 50,000 = 383437500000
Therefore;
- <u>Salt Lake City provides the lowest overall costs</u>.
Learn more about total cost curves here:
brainly.com/question/4888738
Answer:
36 inches
Step-by-step explanation:
6 feet equals 72 inches. 6 divided by 2 is 3 so you do 72 divided by 2. 72 divided by 2 is 36 inches.
Hope this helps :)
Answer:C.no solution
Step-by-step explanation:
100% correct. ツ
