Answer:
24 / x = 14 - 2x
Step-by-step explanation:
Quotient means division (÷ or /)
Quotient of 24 and x = 24 ÷ x
24 ÷ x is equivalent to 24 / x
14 minus 2 times x = 14 - 2x
So, the equation is
24 / x = 14 - 2x
The function given is a quadratic function, so the graph will be a parabola. It'll look similar to the photo attached. The minimum cost will be at the vertex of the parabola because that is its lowest point! To find the x-value of the vertex (which is what the question is looking for), use the vertex formula: x = -b/2a. The variable b is the coefficient of the x term in the function, and the variable a is the coefficient of the x² term. In this case, a = 0.125 and b = -5.
x = -(-5)/2(0.125)
x = 5/0.25
x = 20
So, 20 gas grills should be produced each day to maintain minimum costs. Hope that helps! :)
Answer:
E(X) = 1.28
Var(X) = 0.6016
E(X | Y=2) = 1.6667
Var(X | Y=2) = 0.4272
Step-by-step explanation:
For the answer to the question above asking to f<span>ind the coordinates of Z without using any new variables.
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Vector WZ equals vector VP, which is (p, -q)
So Z is (-p - r + p, q - q) which is (-r, 0)
I hope my answer helped you.
Option B
48 = 2s - 3 shows an equality between number of political articles that Reggie wrote this year
<h3><u>Solution:</u></h3>
Given that, Reggie wrote a total of 48 political articles for the town newspaper this year
Number of political articles = 48
Let s represent the number of sports articles he wrote
The number of political articles he wrote is 3 less than twice the number of sports articles he wrote
Number of political articles = twice the number of sports articles - 3
Number of political articles = (2 x number of sports articles) - 3
Number of political articles = 2s - 3
We know that, number of political articles = 48
48 = 2s - 3
Thus above equation shows an equality between number of political articles that Reggie wrote this year