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3 years ago

Solve the equation: 1/6(6x−12)=−13−(x−3)

Mathematics

1 answer:

mr Goodwill [35]3 years ago

3 0

Answer:

x = -4

Step-by-step explanation:

1/6(6x−12)=−13−(x−3)

Distribute

x -2=−13−x+3

Combine like terms

x-2 = -x-10

Add x to each side

x-2+x = -x-10+x

2x-2 = -10

Add 2 to each side

2x-2 +2 = -10+2

2x = -8

Divide by 2

2x/2 = -8/2

x = -4

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Solve 5z(z+2)(z−1)=0.

fredd [130]

Answer:

if you are solving for z it is:

Step-by-step explanation:

z=0,-2,1

5 0

3 years ago

Solve the system by using a matrix equation.<br> --4x - 5y = -5<br> -6x - 8y = -2

evablogger [386]

Answer:

Solution : (15, - 11)

Step-by-step explanation:

We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )

$\begin{bmatrix}-4&-5&|&-5\\ -6&-8&|&-2\end{bmatrix}$

Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )

Row Echelon Form :

$\begin{pmatrix}1\:&\:\cdots \:&\:b\:\\ 0\:&\ddots \:&\:\vdots \\ 0\:&\:0\:&\:1\end{pmatrix}$

Step # 1 : Swap the first and second matrix rows,

$\begin{pmatrix}-6&-8&-2\\ -4&-5&-5\end{pmatrix}$

Step # 2 : Cancel leading coefficient in row 2 through $R_2\:\leftarrow \:R_2-\frac{2}{3}\cdot \:R_1$ ,

$\begin{pmatrix}-6&-8&-2\\ 0&\frac{1}{3}&-\frac{11}{3}\end{pmatrix}$

Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.

$\begin{bmatrix}1&0&|&15\\ 0&1&|&-11\end{bmatrix}$

As you can see our solution is x = 15, y = - 11 or (15, - 11).

4 0

3 years ago

I have a math question I need help answering.

aniked [119]

The answer should be $21,840.50

Explanation:

20000*1.045=a (first year)
a*1.045=b (second year)
b = 21840.5

6 0

2 years ago

Betty sets up a lemonade stand and charges $1 per glass. It cost her $50 to set up the stand. Which function gives the profit, p

Maksim231197 [3]

If you would like to find the function that gives the profit Betty makes by selling a number of glasses of lemonade, you can find this using the following steps:

p ... profit
g ... glasses of lemonade

f(g) = p = g * $1 - $50

The correct result would be f(g)<span> = g * $1 - $50.</span>

5 0

3 years ago

Read 2 more answers

What is the circumference of a circle with area 50cm2. Give your answer to three significant figures.

Mnenie [13.5K]

Answer:

c = 25.1

Step-by-step explanation:

C = 2 $\sqrt{pi A}$