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Leviafan [203]
2 years ago
12

PLEASE ANSWER IXL QUESTION,WILL GIVE BRAINLITIS!!!!! its attached

Mathematics
1 answer:
SpyIntel [72]2 years ago
6 0

Answer:

y=-x/3+7/3

Step-by-step explanation:

Use linear function: y=mx+b

m= -1/3

Substitue

m= -1/3,(8,-5)

5= -1/3 * (-8) +b

Solve the equation

5= -1/3 *(-8) +b

Rearrange unknown terms to the left side of the equation

-b= -1/3 * (-8) -5

Reduce the greatest common factor on both sides of the equation

b= 1/3 * (-8) +5

Remove the parentheses

b= -1/3 *8+5

Write as a single fraction

b= -8/3+5

Convert the expression into a fraction

b=-8/3+5/1

Expand the fraction to get the least common denominator

b= -8/3+5*3/1*3

Calculate product or quotient

b=-8/3+15/3

Write the numerators over the common denominator

b=-8+15/3

Calculate the sum or difference

b=7/3

Subsitute

m= -1/3,b=7/3

y= -1/3x+7/3

Rewrite the equation

y= -1/3x+7/3

Find the required form

y=-x/3+7/3

Hope this helps!!

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Step-by-step explanation:

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The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular and will have an internal volume of 2
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Answer:

Dimensions of cabinet

x (wide) = 1.93 ft

y (hight) = 2.895 ft

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Step-by-step explanation:

Dimensions of cabinet

y  height

x  wide

p  deph

From problem statement

y = 1.5 x       V = y * x * p      V = 1.5*x²p      but p = V/y*x     p = 2.4/1.5 x²

p = 1.6 / x²

Then

Area of top and bottom    A₁ = 2*x*p  ⇒   2*x*1.6/x²  

A₁  = 3.2 /x

And cost  in $ C₁  = 0,9 * 3.2 /x     ⇒   C₁  = 2.88/x

Area of sides (front and rear not included)

A₂ = 2*y *p      A₂ = 3*x*1.6/x²    A₂ = 4.8/x

And cost in $ C₂ = 0.9 * 4.8 /x    C₂ = 4.32 /x

Area of  front and rear   A₃  =2* y*x    A₃  = 2*1.5 *x²    A₃ = 3x²

And cost  C₃ = 0.3 * 3/x²    =  0.9/x²

Total cost  C(x) = C₁  + C₂ + C₃            C(x) = 2.88/x  +  4.32/x + 0.9x²

Taking derivatives

C´(x)  =  -2.88/x² - 4.32 /x² + 0.9 x

C´(x) = 0             -2.88/x² - 4.32/x² + 0.9 x = 0     -2.88 - 4.32 + 0.9 x³ = 0

-7.2 + x³ = 0    x³ = 7.2    

x = 1.93 ft        y = 1.5*1.93  = 2.895 ft    and p = 0.43 ft

               

4 0
3 years ago
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