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3 years ago

Help will give brainliest

Mathematics

1 answer:

dsp733 years ago

5 0

Answer:

48/80*100 = 60 miles per hrs

Step-by-step explanation:

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Solve for x 16 22 17 20

notka56 [123]

Step-by-step explanation:

65=(4x+1)

65=4x+1)

65-1=4x

64=4x

64/4=4x/4

x=16

7 0

2 years ago

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

$y= c_1x^4+c_2x^6$

5 0

3 years ago

You have large,medium, and small books in the ratio of 7:6:3 and you have a total of 32 books how many small books do you have

igor_vitrenko [27]

6 is the amount you have

6 0

3 years ago

Please slove for me would make my day

DerKrebs [107]

Answer:

x = 30°

Step-by-step explanation:

The sum of angles in a triangle is 180°, so you have ...

60° +2x +60° = 180°

2x = 60° . . . . . . . . .subtract 120° from both sides

x = 30° . . . . . . . . . . divide by 2

_____

Since the triangle is isosceles (base angles are congruent), the angle bisector is also an altitude that divides the triangle into congruent 30°-60°-90° triangles. The measure of the angle marked x is 30°.

7 0

3 years ago

The length of a rectangle is 1ft less than 3 times the width. There is 310 ft squared.Find the dimension of the rectangle.

lozanna [386]

Answer:310

Step-by-step explanation:

l=-1+3w

l=3w-1

l*w=310

(3w-1)*w=310

3w^2-w-310=0

w= 31/3

w= 10 1/3

l=31/3*3-1

l=30

30*31/3=10*31=310

3 0

3 years ago