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NikAS [45]
3 years ago
5

Simplify the rational expression. State any restrictions on the variable.

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
4 0

Answer:

Step-by-step explanation:

The value of t must not be one that makes the denominator zero, hence must not be 8.

harina [27]3 years ago
3 0

Answer:

The value of t must not be one that makes the denominator zero, hence must not be 8.

Step-by-step explanation:

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Solve the 3 × 3 system shown below. Enter the values of x, y, and z. X + 2y – z = –3 (1) 2x – y + z = 5 (2) x – y + z = 4 (3)
Svet_ta [14]
<h2>Answer:</h2>

\boxed{x=1, \y=-1, \ z=2}

<h2>Step-by-step explanation:</h2>

We will use the Gaussian elimination method to solve this problem. To do so, let's follow the following steps:

Step 1: Let's multiply first equation by −2. Next, add the result to the second equation. So:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\~~ x&-~~~~~ y&+~~~~ z&~=~4\end{array}

Step 2: Let's multiply first equation by −1. Next, add the result to the third equation. Thus:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\&-~~~3~ y&+~~2~ z&~=~7\end{array}

Step 3: Let's multiply second equation by −35, Next, add the result to the third equation. Therefore:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\&&+~~\frac{ 1 }{ 5 }~ z&~=~\frac{ 2 }{ 5 }\end{array}

Step 4: solve for z, then for y, then for x:

\frac{ 1 }{ 5 } ~ z & = \frac{ 2 }{ 5 } \\ \\ \boxed{z & = 2}

-5y+3z &= 11\\-5y+3\cdot 2 &= 11\\ \\ \boxed{y &= -1}

By substituting y=-1 \ and \ z=2 into the first equation, we get the x. So:

x+2(-1)-2=-3 \\ \\ x-2-2=-3 \\ \\ \boxed{x=1}

6 0
3 years ago
Read 2 more answers
Mhanifa please help! Look at the picture attached!!!
inessss [21]

Answer:

(17)

Sum of interior angles of a quadrilateral is 360°

  • 110° + 130° + x + x - 3° = 360°
  • 2x = 360° - 237°
  • 2x = 123°
  • x = 61.5°

(18)

Sum of interior angles of a hexagon is 180°*(6 - 2) = 720°

  • 2*90° + 2x + 2(x + 22°) = 720°
  • 90° + x + x + 22° = 360°
  • 2x = 360° - 112°
  • 2x = 248°
  • x = 124°

(19)

Interior angles of a given pentagon are all marked as congruent, so the exterior angles are congruent too.

Sum of exterior angles is 360°.

  • x = 360°/5
  • x = 72°
8 0
2 years ago
How is an equation like an expression? How is it different?
morpeh [17]

Answer:

See explanation.

Step-by-step explanation:

An expression is a <u>set of terms that are combined using addition, subtraction, multiplication, or division.</u> The following are examples of expressions:

2x-1

5y+8

2

Note: expressions do not equal anything.

In contrast, equations are <u>expressions that equal at least one term.</u> The following are examples of equations:

2y-4=26

4x-4=0

x=10

y=x+2

Note: equations <u>do</u> equal a term, as shown in the examples.

3 0
2 years ago
Which method is better for solving the following equation?<br> 4x2+7x -8= 0
julsineya [31]
Order of operations
7 0
2 years ago
Hurry a lot of Points!
grandymaker [24]

Answer:

A and C

Step-by-step explanation:

Nothing much, just add 2 1/2 to 3 2/3 and subtract 2 1/2 from 3 2/3

6 0
3 years ago
Read 2 more answers
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