Ask question

Ask question

All categories

3 years ago

5

iris has 120 songs on her playlist each week she downloads 4 new songs. write an expression to show the total number of songs on

iris's playlist after W weeks.

1 answer:

Leni [432]3 years ago

6 0

Answer:

4 W = n of songs on her playlist

$n \leqslant 120$

You might be interested in

Which situation is best described by the graph shown?

kramer

Where’s the graph???

8 0

3 years ago

For the system of equations that follows, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in

Rainbow [258]

Answer:

$\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Step-by-step explanation:

From the question we are told that

System of equations given as

x₁ + 3x₂ + x₃ + x₄ = 3;

2x₁ - 2x₂ + x₃ + 2x₄ = 8;

x₁ - 5x₂ + x₄ = 5

Matrix form

$\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}$ $\begin{Vmatrix}x_1\\x_2\\x_3\\x_4\end{Vmatrix}$

Generally the echelon reduction is mathematically applied as

$\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}$

Add -2 times the 1st row to the 2nd row

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & -8 & -1&0&2\\0&1 & -5 & 1& 5\end{Vmatrix}$

Multiply the 2nd row by -1/8

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&1 & -5 & 1& 5\end{Vmatrix}$

Add -1 times the 2nd row to the 3rd row

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & -41/8 & 1& 21/4\end{Vmatrix}$

Multiply the 3rd row by -8/41

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Add -1/8 times the 3rd row to the 2nd row

Add -1 times the 3rd row to the 1st row

$\begin{Vmatrix}1 & 3 & 0&49/41&165/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Add -3 times the 2nd row to the 1st row

$\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

3 0

2 years ago

Express 1+√2/√2 in the form p+q√2

scoundrel [369]

$\frac{1+\sqrt{2}}{\sqrt{2}} = \frac{1}{\sqrt{2}} + \frac{\sqrt{2}}{\sqrt{2}} = 1 + \frac{1}{\sqrt{2}}$

3 0

3 years ago

Im really confused and i need help asap

tangare [24]

Answer:

pray to jesus

Step-by-step explanation:

so he can you

6 0

3 years ago

the length of a rectangle is 5 inches longer than twice the width and the area is 12 inches squared. Let l represent the length

svet-max [94.6K]

Answer:

Length = 8 inch , Width = $\frac{3}{2}$ , This equation models the situation

Step-by-step explanation:

Given as ;

The Area of Rectangle is 12 inches²

The Length of Rectangle is 5 inches longer than twice the width

Let The Length = L inches

The Width = W inches

According to question ,

L = 5 + (2 × w )

∵ The Area of Rectangle = Length × width

Or, 12 inches² = [ 5 + (2 × w ) ] × w

Or, 12 inches² = 5 w +2 w²

Or, 2 w² + 5 w - 12 = 0

Or, 2 w² + 8 w -3 w - 12 = 0

Or, 2 w (w +4) - 3 (w + 4) = 0

I.e (w + 4) ( 2 w - 3) = 0

So , w = -4 , and w = $\frac{3}{2}$

∴ Length = 5 + (2 × w ) =

Length = 5 + (2 × $\frac{3}{2}$ )

so , L = 5 + 3 = 8

Hence Length = 8 inch , Width = $\frac{3}{2}$ This equation models the situation Answer

3 0

3 years ago