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seraphim [82]
3 years ago
14

What is the x-coordinate at the point of intersection for these equations?

Mathematics
2 answers:
DerKrebs [107]3 years ago
7 0
Think of the given

<span>f(x) = 2.8x - 12
g(x) = 5.8x + 9

as 

</span><span>y = 2.8x - 12
y = 5.8x + 9

We want the value of x, not the value of y.  So, subtract the 2nd equation from the first.  Doing so will eliminate the variable y and leave you with one equation in the variable x.  Solve for this x value.
</span><span> 
 y= 2.8x - 12 
 -y =-(5.8x + 9)
--------------------
 0 = -3x - 21     What is the value of x?</span>
DerKrebs [107]3 years ago
4 0

Answer:

A) x = -7 .

Step-by-step explanation:

Given : f(x) = 2.8x - 12

g(x) = 5.8x + 9.

To find : What is the x-coordinate at the point of intersection for these equations.

Solution : We have given that

y = 2.8x - 12  ------- ( equation 1)

y = 5.8x + 9--------( equation 2)

On subtracting equation 2 from equation 1.

y = 2.8x - 12

(-)y = (-)5.8x +(-) 9

______________

0=  - 3x - 21

On adding 21 both sides

21 = -3x

On dividing both sides by -3 and switching sides .

x = -7 .

Therefore, x = -7 .

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BigorU [14]

The equation has one extraneous solution which is n ≈ 2.38450287.

Given that,

The equation;

\dfrac{9}{n^2+1} =\dfrac{n+3}{4}

We have to find,

How many extraneous solutions does the equation?

According to the question,

An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.

To solve the equation cross multiplication process is applied following all the steps given below.

\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y

with  0  and solve for  x. The graph of the equation is attached.

n  ≈  2.38450287

Hence, The equation has one extraneous solution which is n  ≈  2.38450287

For more information refer to the link.

brainly.com/question/15070282

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