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3 years ago

Question Help Find the original price of a pair of shoes if the sale price is $11 after a 75% discount.

1 answer:

4 0

If it was a 75% discount, then u r actually paying 25%

so....25% of the original price is $ 11

0.25x = 11
x = 11 / 0.25
x = 44 <=== the original price

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Find the function of which is the solution of 36y"-48y'-48y=0 with initial conditions y1(0)=1. y1'(0)=0

lilavasa [31]

Answer:

$y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }$

Step-by-step explanation:

Let, $D=\frac{d}{dx}$

Now, us simplify the given differential equation and write it in terms of D,

$36y''-48y'-48y=0$

or, $3y''-4y'-4y=0$

or, $(3D^2-4D-4)y=0$

We have our auxiliary equation:

$3D^2-4D-4=0$

or, $(3D+2)(D-2)=0$

or, $D=2, - \frac{2}{3}$

Therefore our solution is,

$y=Ae^{2x}+Be^{- \frac{2}{3}x}$

and, $y'=2Ae^{2x}-\frac{2}{3}Be^{\frac{2}{3}x }$

Applying the boundary conditions, we get,

$A+B=1$

$2A-\frac{2}{3}B=0$

Solving them gives us,

$A=\frac{1}{4} ,B=\frac{3}{4}$

Hence,

$y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }$

4 0

3 years ago

6 = -4x + y<br> -5x - y = 21<br> Please Help Fast!!!!!! Substitution

Vera_Pavlovna [14]

Answer:

y = 4x + 6

-5x - 4x - 6 = 21

-9x - 6 = 21

-9x = 27

x = -3

y - 4(-3) = 6

y + 12 = 6

y = -6

(-3, -6)

5 0

4 years ago

Write the equation of the line shown in the graph. Please help.

jeka57 [31]

Answer:

y = 3

Step-by-step explanation:

The y-coordinate of all points on the graph is 3.

The equation is y = 3

3 0

3 years ago

Read 2 more answers

Enter the plan width for the rectangular room. Round your answer to the nearest tenth.

Jobisdone [24]

Answer:

350

Step-by-step explanation:

5x7x10=350

5 0

3 years ago

1.) Multiply 2ab(−a+2b+3).(1 point)

GarryVolchara [31]

Answer:

(x+3)(4x−2) = 4x2+10x−6

(x+2)(x2−3x +4) = x3−x2−2x+8

Step-by-step explanation:

8 0

3 years ago