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2 years ago

Which expression is equivalent to 7 (x + 4)?

Mathematics

2 answers:

Alex_Xolod [135]2 years ago

5 0

Answer:

one could be (7*x) (7*4)

Step-by-step explanation:

aalyn [17]2 years ago

3 0

Answer:

7 times 5x

Step-by-step explanation:

4 plus x and x has value

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Find the slope of a line from these two coordinates.

tankabanditka [31]

This is wrong.

It's supposed to be -4/15.

But try -4/5.

7 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

Find the missing coefficient. (5d-7)(5d-6)=25d^2+__d+42

krok68 [10]

Answer:

$-65$

Step-by-step explanation:

$(5d-7)(5d-6)$

$5d(5d)+5d(-6)-7(5d)-7(-6)$

$25d^2+-30d+-35d+42$

$25d^2+-65d+42$

The missing coefficient of $d$ is $-65$ .

6 0

3 years ago

Read 2 more answers

A required question

UkoKoshka [18]

Answer:

18ft

Step-by-step explanation:

AC = CD = BA

CD = 2CE

BD = BA + AC + CD = 2CE + 2CE + 2CE

= 6CE

CE = 3

6 × 3 = 18

6 0

3 years ago

A salesperson is paid a base salary of $1700 per month plus a 4.25% commission on sales. How much sales must he generate in orde

iren [92.7K]

Salesperson must generate a sales of $ 26280 in order to earn $2,816.90 per month in total compensation

Solution:

Given that,

A salesperson is paid a base salary of $1700 per month plus a 4.25% commission on sales

Therefore,

Total salary = 1700 + 4.25 % commission on sales

How much sales must he generate in order to earn $2,816.90 per month in total compensation?

Therefore, let us first subtract the basic salary

2816.90 - 1700 = 1116.9

We have to find the sales he must generate

Let "x" be the sales he must generate

4.25 % of x = 1116.9

Therefore,

$4.25 \% \times x = 1116.9\\\\\frac{4.25}{100} \times x = 1116.9\\\\0.0425x = 1116.9\\\\x = \frac{1116.9}{0.0425}\\\\x = 26280$

Thus he must generate a sales of $ 26280 in order to earn $2,816.90 per month in total compensation

8 0

3 years ago