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3 years ago

I don't understand how to do it

Mathematics

1 answer:

leonid [27]3 years ago

5 0

I don't know what question you are but basically to find the the area of something u would either add and then multiply or just multiply . It depends on how your teacher taught you

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Find positive numbers x and y satisfying the equation xyequals12 such that the sum 4xplusy is as small as possible. Let S be the

WITCHER [35]

Answer:

The objective function in terms of one number, x is

S(x) = 4x + (12/x)

The values of x and y that minimum the sum are √3 and 4√3 respectively.

Step-by-step explanation:

Two positive numbers, x and y

x × y = 12

xy = 12

S(x,y) = 4x + y

We plan to minimize the sum subject to the constraint (xy = 12)

We can make y the subject of formula in the constraint equation

y = (12/x)

Substituting into the objective function,

S(x,y) = 4x + y

S(x) = 4x + (12/x)

We can then find the minimum.

At minimum point, (dS/dx) = 0 and (d²S/dx²) > 0

(dS/dx) = 4 - (12/x²) = 0

4 - (12/x²) = 0

(12/x²) = 4

4x² = 12

x = √3

y = 12/√3 = 4√3

To just check if this point is truly a minimum

(d²S/dx²) = (24/x³) = (8/√3) > 0 (minimum point)

4 0

2 years ago

A bookshelf is 45 inches wide. How many 1 & 1/2 inch wide books will fit on the bookshelf? *

andriy [413]

Answer:

30 books

Step-by-step explanation:

bookshelf is 45 inches

each book is 1 1/2 inches

45 / 1 1/2 = 30

30 books can fit on the shelf

7 0

2 years ago

Solve the equation 4-2(x+7)=3(x+5) =

kumpel [21]

Hi there!

To solve this equation, I first would like to warn you about the long answer I am about to post for you. I'll be putting in very detailed steps for you, showing you how to simplify and distribute numbers, etc. :)

Let us solve your equation step-by-step.

Step 1) Simplify both sides of the equation.

To simplify this, we will...

4 + (-2) (x) + (-2) (7) = (3) (x) + (3) (5)

4 + - 2x + - 14 = 3x + 15

(-2x) + (4 + - 14) = 3x + 15

Now, we combine Like Terms...

-2x + - 10 = 3x + 15

-2x - 10 = 3x + 15

Fwew! That was probably going to be the longest step here!

Step 2) Subtract 3x from both sides.

- 2x - 10 - 3x = 3x + 15 - 3x

- 5x - 10 = 15

Step 3) Add 10 to both sides.

- 5x - 10 + 10 = 15 + 10

- 5x = 25

Step 4) Divide both sides by -5.

-5x/-5 = 25/-5

So, our final answer is x = -5.

Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

8 0

3 years ago

Read 2 more answers

Can you please help me. 6 = 4x + 9y slove for y

kow [346]

Answer:

Step-by-step explanation:

↔Start of with your 'solution section' to make sure you have the right things↔

↔Solution 1 ➡ 4(x) + 9(y) = 16

↔Solution 2 ➡ 6(x) - 9(y) = 8

-----------------------------------------------------------------

▪Looking for the value of the 'x'-intercept ⬇▪

◾4 (3) (y) / 2 + 4/ 3 + 9(y) = 16

◾15(y) = 32 / 3

◾ 45(y) = 32

▪x-intercept: 32

-----------------------------------------------------------------

◾Looking for value of the 'y'-intercept ◾

◾45(y) = 32

◾y-intercept : 45

◾x = 3(y)/2+4/3 which is translated to this, am i correct? ➡ (y) = 32/45

-----------------------------------------------------------------

↪ Now, we have finally found both of their intercept ⬇

↪x-intercept: 12

↪y-intercept: 5

↪Or you can even say the intercepts in other words. Here's what I am talking about if in case you don't know what I am saying

↪x-intercept: 32✅

↪y-intercept✅

6 0

3 years ago

I really am confused on how to write a proof.

kvasek [131]

Since ABCD is a parallelogram, the opposite sides will be parallel and equal,

$\begin{gathered} AB=CD \\ BC=AD \end{gathered}$

Consider that AC acts as a transversal to the parallel lines AB and CD, so we can write,

$\begin{gathered} \angle CAD=\angle ACB\text{ (Alternate Interior Angles)} \\ BC=AD\text{ (Opposite sides of parallelogram)} \\ \angle ADB=\angle CBD\text{ (Alternate Interior Angles)} \end{gathered}$

So by the ASA criteria, the triangle AED is congruent to the triangle CEB,

Then the corresponding parts of the triangles will be equal,

$\begin{gathered} AE=CE \\ BE=DE \end{gathered}$

Hence Proved.

8 0

1 year ago