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vaieri [72.5K]
3 years ago
15

Pls help me out, I need this ASAP

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0
Whats the question about
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How to write g(x)=2x+3/x+1 in the form of:g(x)=a/x+p +q
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Hello,

Please write correctly.

g(x)= (2x+3)/(x+1) to be written like a/(x+p) + q

It is very simple!

(2x+3)/(x+1)= [(2x+2)+1]/(x+1)= (2(x+1)+1)/(x+1)= 2+1/(x+1)


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Find the value of c such that the line with equation y= 2x + c is a tangent to the parabola y = x squared + 3x
natita [175]

Answer:

c=-1/4

Step-by-step explanation:

Y=2x+c=2(x+c/2), so m=2.

To be tangent we need to check y’ of parabola: y’=2x+3.

So for some x it must be 2x+3=2 (cause m=2). We have x=-1/2.

Now we use x=-1/2 to find y from 2nd equation (equation of parabole): we got y=1/4-3/2=-5/4.

So tangent has point (-1/2,-5/4).

Put that point in firts equation (equation of line): -5/4=-1+c,

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3 years ago
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