1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
docker41 [41]
3 years ago
8

tle="R = \sqrt{ \frac{ax - P}{Q + bx} } " alt="R = \sqrt{ \frac{ax - P}{Q + bx} } " align="absmiddle" class="latex-formula">
solve for x. Please can someone help me ASAP. I need to hand it on today.​
Mathematics
2 answers:
Phantasy [73]3 years ago
7 0

Step-by-step explanation:

r = \sqrt{ \frac{ax - p}{q + bx} } \\  {r}^{2}  =  \frac{ax - p}{q + bx}

r² (q + bx) = ax - p

qr² + bxr² = ax - p

qr² + p = ax - bxr²

qr² + p = x (a - br²)

x =  \frac{q {r}^{2}  + p}{a - b {r}^{2} }

patriot [66]3 years ago
3 0

Answer:

\displaystyle x=\frac{-P-\math{R}^2Q}{\math{R}^2b-a}

Step-by-step explanation:

R=\sqrt{\frac{ax-P}{Q+bx}}

\mathrm{Square\:both\:sides}

R^2=\left(\sqrt{\frac{ax-P}{Q+bx}}\right)^2

R^2=\frac{ax-P}{Q+bx}

\mathrm{Multiply\:both\:sides\:by\:}Q+bx

\math{R}^2\left(Q+bx\right)=\frac{ax-P}{Q+bx}\left(Q+bx\right)

\math{R}^2\left(Q+bx\right)=ax-P

\math{R}^2Q+\math{R}^2bx=ax-P

\mathrm{Subtract\:}\math{R}^2Q\mathrm{\:from\:both\:sides}

\math{R}^2Q+\math{R}^2bx-\math{R}^2Q=ax-P-\math{R}^2Q

\math{R}^2bx=ax-P-\math{R}^2Q

\mathrm{Subtract\:}ax\mathrm{\:from\:both\:sides}

\math{R}^2bx-ax=ax-P-\math{R}^2Q-ax

\math{R}^2bx-ax=-P-\math{R}^2Q

\mathrm{Factor}\:\math{R}^2bx-ax

x\left(\math{R}^2b-a\right)=-P-\math{R}^2Q

\mathrm{Divide\:both\:sides\:by\:}\math{R}^2b-a

\frac{x\left(\math{R}^2b-a\right)}{\math{R}^2b-a}=-\frac{P}{\math{R}^2b-a}-\frac{\math{R}^2Q}{\math{R}^2b-a}

x=\frac{-P-\math{R}^2Q}{\math{R}^2b-a}

You might be interested in
For each ordered pair, determine whether it is a solution to the system of equations.
-Dominant- [34]

The only ordered pair that is a solution to the given system of equations is (-2, -6)

<h3>System of Linear Equations </h3>

From the question, we are to determine if each ordered pair is a solution to the given system of equations

The given system of equations is

-9x + 2y = 6

5x - 3y = 8

  • For (7, 9)

That is,

x = 7, y = 9

Putting the values into the first equation

Is -9(7) + 2(9) = 6

-63 + 18 = 6

-45 ≠ 6

Thus, (7,9) is not a solution

  • For (0, 3)

That is,

x = 0, y = 3

Putting the values into the first equation

Is -9(0) + 2(3) = 6

0 + 6 = 6

6 = 6

The ordered pair satisfies the first equation

Testing for the second equation

Is 5(0) - 3(3) = 8

0 - 9 = 8

-9 ≠ 8

Thus, (0, 3) is not a solution

  • For (5, -4)

That is,

x = 5, y = -4

Putting the values into the first equation

Is -9(5) + 2(-4) = 6

-45 - 8 = 6

-53 ≠ 6

Thus, (-5,4) is not a solution

  • For  (-2, -6)

That is,

x = -2, y = -6

Putting the values into the first equation

Is -9(-2) + 2(-6) = 6

18 - 12 = 6

6 = 6

The ordered pair satisfies the first equation

Testing for the second equation

Is 5(-2) -3(-6) = 8

-10 + 18 = 8

8 = 8

The ordered pair satisfies the second equation

∴ The ordered pair that is a solution to the system of equations is (-2, -6)

Hence, the only ordered pair that is a solution to the given system of equations is (-2, -6)

Learn more on System of equations here: brainly.com/question/8630769

#SPJ1

3 0
10 months ago
Please help me 33/2 + 3y/5 = 7y/10 + 15
8090 [49]

We are given with an equation in <em>variable y</em> and we need to solve for <em>y</em> . So , now let's start !!!

We are given with ;

{:\implies \quad \sf \dfrac{33}{2}+\dfrac{3y}{5}=\dfrac{7y}{10}+15}

Take LCM on both sides :

{:\implies \quad \sf \dfrac{165+6y}{10}=\dfrac{7y+150}{10}}

<em>Multiplying</em> both sides by <em>10</em> ;

{:\implies \quad \sf \cancel{10}\times \dfrac{165+6y}{\cancel{10}}=\cancel{10}\times \dfrac{7y+150}{\cancel{10}}}

{:\implies \quad \sf 165+6y=7y+150}

Can be <em>further written</em> as ;

{:\implies \quad \sf 7y+150=165+6y}

Transposing <em>6y </em>to<em> LHS</em> and <em>150</em> to<em> RHS </em>

{:\implies \quad \sf 7y-6y=165-150}

{:\implies \quad \bf \therefore \quad \underline{\underline{y=15}}}

8 0
2 years ago
What is the square root of 8 and why?
kicyunya [14]

Rewrite <span>88</span> as <span><span><span>22</span>⋅2</span><span><span>22</span>⋅2</span></span>.Factor <span>44</span> out of <span>88</span>.<span><span>√<span>4<span>(2)</span></span></span><span>4⁢2</span></span>Rewrite <span>44</span> as <span><span>22</span><span>22</span></span>.<span><span>√<span><span>22</span>⋅2</span></span><span><span>22</span>⋅2</span></span>Pull terms out from under the radical.<span><span>2<span>√2</span></span><span>2⁢2</span></span>The result can be shown in both exact and decimal forms.Exact Form:<span><span>2<span>√2</span></span><span>2⁢2</span></span>Decimal Form:<span>2.82842712<span>…</span></span>
8 0
2 years ago
HELP ME PLEASE BE QUICK
Ivenika [448]

Answer: 62.83

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Can you help me figure this out?
Kaylis [27]

Answer:

  D.  $8 per hour

Step-by-step explanation:

The rate of pay is found by dividing the pay by the number of hours it is for.

  $40/(5 h) = $8/h

The worker gets paid $8 per hour.

6 0
2 years ago
Other questions:
  • The depth of a lake is 1,400 meters.What is the depth in kilometers?
    11·2 answers
  • Selina and three of her classmates each wrote out the steps for finding an approximate percent change. They all agreed on the fi
    9·2 answers
  • What is the cotangent of angle G? <br><br> A. 24/10 <br> B. 13/12 <br> C. 5/12 <br> D. 12/10
    9·1 answer
  • What are the solution(s) of –x2 + 2x + 3 = x2 – 2x + 3?
    15·2 answers
  • This person did something wrong and I do not know what it is :( Please help this is for points!
    7·1 answer
  • Find the area of the shape shown below.
    15·1 answer
  • please do my question u get more points if the answer is right. if inappropriate you get reported NO LINKS and please EXPLAIN
    15·1 answer
  • Can you give the answers to these problems I let the pictures here (they are only two)
    15·1 answer
  • 9/10 times 8/9 enter the product in simplest form
    15·1 answer
  • I want to know the answer and process
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!