Answer:
7x -4= -28
Step-by-step explanation:
x + 5/2 = 2(x + 3)
D. -7/3
Answer:
The width of billboard is "[x]" and the height of billboard is "[y"]. If total area of billboard is
then
Step-by-step explanation:
• The total width of billboard is [x]. Therefore the width of printed area will be (x-10) by excluding margin of left and right side.
• The total height of billboard is [y]. Therefore the height of printed area will be [(y-6)] by excluding the margin of top and bottom from the total height.
• To find the printed area of billboard calculations are given below:
![& 9000=xy](https://tex.z-dn.net/?f=%26%209000%3Dxy)
![& y=\frac{9000}{x} \\ & A=(x-10)(y-6) \\ & A=xy-6x-10y+60 \\ & A=x\left( \frac{9000}{x} \right)-6x-10\left( \frac{9000}{x} \right)+60 \\ & A=9060-6x-\frac{9000}{x} \\](https://tex.z-dn.net/?f=%26%20y%3D%5Cfrac%7B9000%7D%7Bx%7D%20%5C%5C%20%20%26%20A%3D%28x-10%29%28y-6%29%20%5C%5C%20%20%26%20A%3Dxy-6x-10y%2B60%20%5C%5C%20%20%26%20A%3Dx%5Cleft%28%20%5Cfrac%7B9000%7D%7Bx%7D%20%5Cright%29-6x-10%5Cleft%28%20%5Cfrac%7B9000%7D%7Bx%7D%20%5Cright%29%2B60%20%5C%5C%20%20%26%20A%3D9060-6x-%5Cfrac%7B9000%7D%7Bx%7D%20%5C%5C)
On taking the first order derivative of A
![\[A'=-6+\left( \frac{90000}{{{x}^{2}}} \right)\]](https://tex.z-dn.net/?f=%5C%5BA%27%3D-6%2B%5Cleft%28%20%5Cfrac%7B90000%7D%7B%7B%7Bx%7D%5E%7B2%7D%7D%7D%20%5Cright%29%5C%5D)
![& \left( \frac{90000}{{{x}^{2}}} \right)-6=0 \\ & 6{{x}^{2}}=90000 \\ & x=\sqrt{15000} \\ & y=\frac{9000}{x}=\frac{90000}{\sqrt{15000}}=10\sqrt{150} \\](https://tex.z-dn.net/?f=%26%20%5Cleft%28%20%5Cfrac%7B90000%7D%7B%7B%7Bx%7D%5E%7B2%7D%7D%7D%20%5Cright%29-6%3D0%20%5C%5C%20%20%20%20%20%20%20%20%20%20%26%206%7B%7Bx%7D%5E%7B2%7D%7D%3D90000%20%5C%5C%20%20%20%20%20%20%20%20%20%20%26%20x%3D%5Csqrt%7B15000%7D%20%5C%5C%20%20%20%20%20%20%20%20%20%20%26%20y%3D%5Cfrac%7B9000%7D%7Bx%7D%3D%5Cfrac%7B90000%7D%7B%5Csqrt%7B15000%7D%7D%3D10%5Csqrt%7B150%7D%20%5C%5C)
• Hence
and ![\[y=\frac{900}{\sqrt{150}}\]](https://tex.z-dn.net/?f=%5C%5By%3D%5Cfrac%7B900%7D%7B%5Csqrt%7B150%7D%7D%5C%5D)
Learn More about Differentiation Here:
brainly.com/question/13012860
Answer:
6.59 and 3.41
Step-by-step explanation:
To evaluate, substitute n for each of the given values.
So when n= 3:
0.53n + 5 = 1.59 + 5 = 6.59
And when n = -3
0.53 n + 5 = -1.59+5=3.41
Hope this helps
Answer will be: y=7/3+2x/3