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2 years ago

Substitute the expression for y into x-2y=1 and solve the equation for x. X=

Mathematics

2 answers:

Nikitich [7]2 years ago

6 0

Answer:

I'm not sure to help you but I can help you out a bit.

Since x - 2y = 1,

x = 1+ 2y

This is expressing x in terms of y.

In addition,

2y = x - 1

y = (x-1)/2

This is expressing y in terms of x.

Vanyuwa [196]2 years ago

3 0

Answer:

make your question clear

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A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the

Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= $\pi r^2h$

According to the problem,

$\pi r^2 h=25$

$\Rightarrow h=\frac{25}{\pi r^2}$

The surface area of the base of the can is = $\pi r^2$

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× $\pi r^2$ )

The lateral surface area of the can is = $2\pi rh$

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× $2\pi rh$ )

$=\$2.5 \pi r h$

Total cost of metal is C= 2.00 $\pi r^2$ + $2.5 \pi r h$

Putting $h=\frac{25}{\pi r^2}$

$\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}$

$\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}$

Differentiating with respect to r

$C'=4\pi r- \frac{62.5}{ r^2}$

Again differentiating with respect to r

$C''=4\pi + \frac{125}{ r^3}$

To find the minimize cost, we set C'=0

$4\pi r- \frac{62.5}{ r^2}=0$

$\Rightarrow 4\pi r=\frac{62.5}{ r^2}$

$\Rightarrow r^3=\frac{62.5}{ 4\pi}$

⇒r=1.71

Now,

$\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0$

When r=1.71 cm, the metal cost will be minimum.

Therefore,

$h=\frac{25}{\pi\times 1.71^2}$

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

6 0

3 years ago

The sum of 3 fifteens and 17 fifteens

svet-max [94.6K]

(3*15)+(17*15)=45+255=300
the final answer is 300
or 20 fifteens

7 0

3 years ago

Read 2 more answers

Solve for x. <br> 2/3(x-7) = -2

kari74 [83]

Answer:

x = 4

Step-by-step explanation:

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3 years ago

a builder could get 6 sheets of sheetrock for $9 if he bought 12 sheets how much money would he have spent

SashulF [63]

He spent $18.
6=$9
12=$18

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3 years ago

Abby takes a ride-sharing service to ride from her home to the mall. The ride-sharing service charges $1.75 per mile plus a one-

Dmitrij [34]

Answer:

do u know the awnser?

Step-by-step explanation:

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2 years ago

Substitute the expression for y into x-2y=1 and solve the equation for x. X=​

Substitute the expression for y into x-2y=1 and solve the equation for x. X=