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Allushta [10]
2 years ago
15

HELP ME PLEASE!!!

Mathematics
1 answer:
Kobotan [32]2 years ago
8 0

Answer:

x=2 , y=1

Step-by-step explanation:

Since the second equation is fully simplified and we know what x equals, we plug the entire equation of x in for x in the top equation:

5(3y-1)+10y=20

Now solve for y.

y=1

Now plug y back into the bottom equation and solve for x.

x=3(1)-1

x=2

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Bob wants to create two pens, as shown in the figure. One pen is for a garden and it needs a heavy duty fence to keep out the cr
sattari [20]
\bf \textit{the area of either pen is 2744, thus}\\\\
A=xy\implies 2744=xy\implies \cfrac{2744}{x}=y

\bf \begin{array}{llll}
\textit{perimeter of the garden pen}\\\\
P=2(x+y)\\\\
P=2\left( x+ \cfrac{2744}{x}\right)\\\\
P=2x+\cfrac{5488}{x}\\
----------\\

\textit{cost of it}\\\\
C=15\left( 2x+\cfrac{5488}{x} \right)\\\\
C=30x+\cfrac{82320}{x}
\end{array}\qquad 
\begin{array}{llll}
\textit{perimeter of the dog pen}\\\\
P=2x+y\\\\
P=2x+\cfrac{2744}{x}\\
----------\\
\textit{cost of it}\\\\
C=5\left( 2x+\cfrac{2744}{x} \right)\\\\
C=10x+\cfrac{27440}{x}
\end{array}

notice... the dog's pen perimeter, does not include the side that's bordering the garden's, since that side will use the heavy duty fence, instead of the light one

so, the sum of both of those costs, will be the C(x)

\bf C(x)=\left( 30x+\cfrac{82320}{x} \right)+\left( 10x+\cfrac{27440}{x} \right)
\\\\\\
C(x)=40x+\cfrac{109760}{x}

so, just take the derivative of it, and set it to 0 to find the extremas, and do a first-derivative test for any minimum

8 0
3 years ago
4. El costo de impresión de cada página en una biblioteca es de 5 centavos si es en blanco y negro o
ira [324]

Answer:

Juan imprimió 7 páginas a color.

Step-by-step explanation:

Llamemos "b" a las copias en blanco y negro y "c" a las copias en color.

Juan imprimió 75 páginas. En forma simbólica es:

b + c = 75  

b = 75 - c   [1]

El costo de impresión de cada página en una biblioteca es de 5 centavos si es en blanco y negro o  50 centavos si es a color. En total pago $6.90. En forma simbólica es:

0.05b + 0.5c = 6.90   [2]

Si reemplazamos [1] en [2],

0.05(75-c) + 0.5c = 6.90

3.75 - 0.05c + 0.5c = 6.90

0.45c = 3.15

c = 7

Juan imprimió 7 páginas a color.

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A man is in a boat that is floating 175 feet from the base of a 200- foot cliff what is the angle of depression between the clif
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