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natali 33 [55]
3 years ago
13

The solution to this system of equations lies between the x-values -2 and -1.5. At which x-value are the two equations approxima

tely equal? Y = 1/x+2 Y=x^2+2

Mathematics
2 answers:
AlexFokin [52]3 years ago
5 0

Answer:

The solution to this system of equations is -1.811.

Step-by-step explanation:

The given system of equations is

y=\frac{1}{x+2}

y=x^2+2

Graph these function on a coordinate plane. The x-coordinate of intersection points of both functions are solutions of the given system of equations.

The graph of both functions is given below.

From the below graph it is clear that the intersection point of both the function is (-1.811,5.278).

Therefore the solution to this system of equations is -1.811.

drek231 [11]3 years ago
3 0
Hello,
\left \{ {{y= \dfrac{1}{x+2} } \atop {y=x^2+2}} \right. \\\\

 \left \{ {{y= \dfrac{1}{x+2} } \atop {\dfrac{1}{x+2}=x^2+2}} \right. \\\\

 \left \{ {{y= \dfrac{1}{x+2} } \atop {x+2= \dfrac{1}{x^2+2} }} \right. \\\\

 \left \{ {{y= \dfrac{1}{x+2} } \atop {x= \dfrac{1}{x^2+2} -2}} \right. \\\\



x=-1.81053571 and y=<span> 5,27803957 </span>

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A triangle has a base of 8 cm and a height of 12 cm. What is the area of the triangle?​
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What is the vertex of the graph of f(x) = x2 + 10x - 9? A) (-5, -34) B) (-5, -9) C) (5, -9) D) (5, 66)
sukhopar [10]

Answer:

A) (-5, -34)

Step-by-step explanation:

f(x) = x^2 + 10x - 9

We complete the square to get the equation in vertex form

Take the coefficient of the x term and divide by 2 then square it.  We add it and then subtract it not to change the value of the equation

f(x) = x^2 + 10x +(10/2)^2 - (10/2)^2 - 9

f(x) = x^2 +10x +25 -25 -9

f(x) = (x^2 +10x +25) -34

The term in parentheses simplified to (x+10/2) ^2

     = (x+5)^2 -34

   = (x - -5)^2 -34

This is in the form (x-h)^2 +k

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Answer this one for me thanks ppppp
Brilliant_brown [7]

Answer:

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Step-by-step explanation:

Hi there!

We can use the Pythagorean theorem to help us solve this problem: a^2+b^2=c^2 where c is the longest side of a right triangle (the hypotenuse) and a and b are the other two sides

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Therefore, the value of x is 16.6 units when rounded to the nearest tenth.

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Ross can mulch the park for x minutes. So, for 1 min Jake can mulch 1/x part of a garden.

If they work together, for 1 min they will mulch (1/30 + 1/x) part of the garden.

At the same time, we know, that of they work together they can mulch the garden in 16 min, so for 1 min they will mulch 1/16 part of the garden.

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