Answer:
x>-5 x ≤10
Step-by-step explanation:
-35/7=-5
7x/7=x
3x/3=x
30/3=10
Answer
Step-by-step explanation:
The area would be length times width. x(4x+8) =96
4x^2+8x = 96
4x^2+8x-96=0. We need to factor.
It would be factored to (4x-16)(x+6) = 0
x would be -6 (x+6=0)
or x would be 4 (4x-16=0)
Why would the width be negative?!? So the answer is 4
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
Just simplify the given equation
y = 7.2 + 4(x-2)
y = 7.2 + 4x - 8
y = 4x - 0.8
Now they want to know the answer if X = 2
y = 4(2) - 0.8
y = 8 - 0.8
y = 7.2
The input and output table for the linear function y = 3x is (-2, -6), (-1, -3), (0, 0), (1, 3) and (2, 6).
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Given the linear function y = 3x:
When x = -2; y = 3(-2) = -6
When x = -1; y = 3(-1) = -3
When x = 0; y = 3(0) = 0
When x = 1; y = 3(1) = 3
When x = 2; y = 3(2) = 6
The input and output table for the linear function y = 3x is (-2, -6), (-1, -3), (0, 0), (1, 3) and (2, 6).
Find out more on equation at: brainly.com/question/2972832
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