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nikitadnepr [17]
3 years ago
7

Solve the following using quadratic formula 9x^2 -11=6x

Mathematics
1 answer:
lilavasa [31]3 years ago
3 0

Answer:

Exact Form: x = (1 ± 2 √ 3)/ 3

Decimal Form: x = 1.48803387 … , − 0.82136720 …

Step-by-step explanation:

Solve the equation for  x  by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula.

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I want to say about 27% but I am not completely sure
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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
4 years ago
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HELP ASAP!!!!!!!! what is the unit rate expressed in price per pound
maxonik [38]

Answer:

$0.80

Step-by-step explanation:

You have to divide 24 by 30 to find the price per pound

5 0
3 years ago
The volume of this right trapezoidal prism is 341.25 ft³.
podryga [215]

Answer:10.5

Step-by-step explanation: I hope this helps

5 0
3 years ago
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If you vertically stretch the exponential function f(x)= 2^x by a factor of 4 what is the equation of the new function
GuDViN [60]

ANSWER

f(x) = 4( {2})^{x}

EXPLANATION

Given the exponential function,

y = f(x)

Then the function

y =a f(x)

is stretched vertically by a factor of 'a' units, for a>0.

Based on this, if a=4 and

f(x) =  {2}^{x}

Then the equation of the new function is

f(x) = 4( {2})^{x}

3 0
3 years ago
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