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3 years ago

Please help ASAP!!! Thank you!!

Mathematics

2 answers:

slamgirl [31]3 years ago

8 0

Answer:

$-\frac{3}{x-1}$

Step-by-step explanation:

Factor the denominator and then combine fractions:

$\frac{3}{(x-1)(x-2)} -\frac{3}{x-2}$

Find LCM (Least Common Multiple) of denominators:

LCM of (x-1)(x-2) and x-2 is (x-1)(x-2)

Adjust fractions based on LCM:

$\frac{3}{(x-1)(x-2)} -\frac{3(x-1)}{(x-2)(x-1)}$

Denominators are now equal so you can subtract the fractions:

$\frac{3-3(x-1)}{(x-1)(x-2)}$

Factor the numerator:

$\frac{3(-x+2)}{(x-1)(x-2)}$

Cancel:

$-\frac{3}{x-1}$

Eddi Din [679]3 years ago

4 0

Answer:

- 3/x-1

Step-by-step explanation:

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Each day, I use 4 bags of milk for tea. In how much of a day wlll I use 1/2 of a bag of milk?

Slav-nsk [51]

1 day use 4 bags
? day use 1/2 bag

Cross multiply
(1•1/2)/4= 1/2•1/4= 1/8 of the day

In 1/8 of the day 1/2 of bag of milk will be used.

3 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 side. Round to the nearest tenth. <br>A.7.1<br>B.5.1<br>C.5.1 <br>D.6.1

Stels [109]

Answer:

5,1

Step-by-step explanation:

x= tan27⁰ x 10 ≈ 5,1

.....

7 0

3 years ago

Read 2 more answers

Find the midpoint of A and B where A has coordinates (2,3) and B has coordinates (8,9).

Effectus [21]

Answer:

(5,6)

Step-by-step explanation:

Add both "x" coordinates, divide by 2.

Add both "y" coordinates, divide by 2.

(2,3)

(8,9)

10 divided by 2=5

12 divided by 2 is 6

please mark me the brainiest i hope this has helped

7 0

3 years ago

I need help with Math Homework

lyudmila [28]

Answer:

Your answer should be -8.

5 0

3 years ago