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viktelen [127]
3 years ago
6

The product o 4z and 0 is

Mathematics
1 answer:
Kamila [148]3 years ago
8 0
The Government 45 is the first to graduate from school
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A rectangular field on a farm is to be fenced in using the wall of the barn for one side and 200 meters of fencing for the other
vitfil [10]

Answer:

Rectangular area as a function of x :   A(x)  = 200*x  + 2*x²

A(max) = 5000 m²

Dimensions:

x = 50 m

l  = 100 m

Step-by-step explanation:

"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:

A(r) = x* l     and the perimeter of the rectangular shape is

P = 2*x + 2*l   but we won´t use any fencing material along the wll of the barn therefore

P  =  2*x + l       ⇒   200 = 2*x  + l      ⇒   l  = 200 - 2*x      (1)

And the rectangular area as a function of x is:

A(x)  = x * ( 200 - 2*x)  ⇒  A(x)  = 200*x  + 2*x²

Taking derivatives on both sides of the equation we get:

A´(x)  =  200 - 4*x     ⇒   A´= 0

Then    200 - 4*x  = 0     ⇒   4*x =  200   ⇒  x  = 50 m

We find the l value, plugging the value of x in equation (1)

l  = 200 - 2*x     ⇒ l = 200 - 2*50   ⇒  l = 100  m

A(max)  =  100*50

A(max)  = 5000 m²

3 0
3 years ago
( PLEASE HELP ) <br><br> What is the solution to the inequality below?
Lunna [17]

Answer:

Step-by-step explanation:

You are to take the square root across the inequality sign to make it plus or minus 3 squared.

The answer will therefore be C

5 0
2 years ago
Sanjay needs 90 meters of fence to go around a rectangular garden.
VladimirAG [237]
W + 3w = 90 is obviously wrong
8 0
3 years ago
Read 2 more answers
5x(6x+28)=-23 <br><br>Help I don't understand
aksik [14]

Answer:

Solve the equation for  x  by finding  a,  b, and  c  of the quadratic then applying the quadratic formula.


Exact Form:


x  =  −  70  ±  √4210/30


Decimal Form:


x  =  −0.03


Step-by-step explanation:

5x(6x+28)=−23


Step 1: Simplify both sides of the equation.


30x2+140x=−23


Step 2: Subtract -23 from both sides.


30x2+140x−(−23)=−23−(−23)


30x2+140x+23=0


Step 3: Use quadratic formula with a=30, b=140, c=23.


x=−b±√b2−4ac/2a


x=−(140)±√(140)2−4(30)(23)/2(30)


x=−140±√16840/60


x=−7/3+1/30√4210 or x=−7/3+−1/30√4210

3 0
3 years ago
Read 2 more answers
If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain
Ainat [17]
Begin by finding the lowest point the quadratic equation can be, the vertex; 

x²-1= is just a translation down of the graph x²

vertex; (0, -1) and since the graph of x² would extend to infinity beyond that point, we can say {x| x≥0} for domain and {y| y≥-1}. 

For the linear equation, it is possible to have all x and y values, therefore range and domain belong to all real numbers. 

Hope I helped :) 
5 0
3 years ago
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