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3 years ago

A ) 4.05 per pound B) $5.40 per pound C) $2.70 per pound D) $1.35 per pound

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

6 0

Answer:

D is the correct answer

Step-by-step explanation:

As you see, the product of peaches 1 and 2 have the different in cost is $1.35 and $2.70. As well as the following product of peaches also have the same increase in money.

So 2.70 - 1.35 = 1.35 so the common increase would be $1.35

Hope this help you :3

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Consider the differential equation x2y′′ − 9xy′ + 24y = 0; x4, x6, (0, [infinity]). Verify that the given functions form a funda

pantera1 [17]

Answer:

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

$y= c_1x^4+c_2x^6$

Step-by-step explanation:

Given equation is

$x^2y'' - 9xy+24y=0$

This Euler Cauchy type differential equation.

So, we can let

$y=x^m$

Differentiate with respect to x

$y'= mx^{m-1}$

Again differentiate with respect to x

$y''= m(m-1)x^{m-2}$

Putting the value of y, y' and y'' in the differential equation

$x^2m(m-1) x^{m-2} - 9 x m x^{m-1}+24x^m=0$

$\Rightarrow m(m-1)x^m-9mx^m+24x^m=0$

$\Rightarrow m^2-m-9m+24=0$

⇒m²-10m +24=0

⇒m²-6m -4m+24=0

⇒m(m-6)-4(m-6)=0

⇒(m-6)(m-4)=0

⇒m = 6,4

Therefore the auxiliary equation has two distinct and unequal root.

The general solution of this equation is

$y_1(x)=x^4$

and

$y_2(x)=x^6$

First we compute the Wronskian

$W(x)= \left|\begin{array}{cc}y_1(x)&y_2(x)\\y'_1(x)&y'_2(x)\end{array}\right|$

$= \left|\begin{array}{cc}x^4&x^6\\4x^3&6x^5\end{array}\right|$

=x⁴×6x⁵- x⁶×4x³

=6x⁹-4x⁹

=2x⁹

≠0

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

$y= c_1x^4+c_2x^6$

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3 years ago

Item 16 a dentist's office and parking lot are on a rectangular piece of land. the area (in square meters) of the land is repres

Lyrx [107]

For this case, the first thing we should do is use the following equation:
x ^ 2 + x-30
Here, we substitute the value of x = 20
We have then:
(20) ^ 2 + (20) -30 = 390 m ^ 2
Answer:
the area of the land when the length of the dentist's office is 20 meters is:
390 m ^ 2

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3 years ago

Find the angle measure of minor arc MP.

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Step-by-step explanation:

Angle at center = 2 * Angle at circumference.

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Hence the angle measure of minor arc MP is 30°.

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3 years ago

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