Use the graph that shows the solution to f(x)=g(x) . f(x)=−3/4x2+3x+1 g(x)=2x What is the solution to f(x)=g(x) ?
Select each correct answer.

x = 0

x = 1

x = 2

x = 4

Option C: is the solution of the graph.

Explanation:

The function is and

We need to determine the solution of the function.

The solution can be determined by equating

Thus, we have,

Subtracting both sides by 2x, we have,

Multiplying both sides by 4, we have,

Factoring, we get,

Factoring out the common terms, we have,

Simplifying, we get,

Thus, we have,

 or

Simplifying, we get,

 or  

Thus, the solution of the graph is

Therefore, Option C is the correct answer.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)