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Yakvenalex [24]

3 years ago

11

Select all the correct answers Which functions are the same as their inverse functions?

1 answer:

KIM [24]3 years ago

6 0

Answer:

f(x)

Step-by-step explanation:

f(x)=x-1/x+5

y=x-1/x+5

xy+5y=x-1

xy-x=-1-5y

x(y-1)=1-5y

x=-1-5y/y-1

x=-5

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What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

telo118 [61]

Answer:

$f(x)=-\frac{1}{8}(x-3)^2+3$

Step-by-step explanation:

We want to find the equation of the parabola with a focus of $(3,1)$ and directrix $y=5$ .

Considering the directrix, the quadratic graph must open downwards.

The equation of this parabola is given by the formula,

$(x-h)^2=4p(y-k)$ , where $(h,k)$ is the vertex of the parabola.

The axis of this parabola meets the directrix at $(3,5)$ .

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,

$h=\frac{3+3}{2}=3$ and $k=\frac{5+1}{2}=3$ .

The equation of the parabola now becomes,

$(x-3)^2=4p(y-3)$ .

Also $|p|$ is the distance between the vertex and the directrix.

$|p|=2$

This implies that $p=-2\:or\:2$ .

Since the parabola turns downwards,

$p=-2$ .

Our equation now becomes,

$(x-3)^2=4(-2)(y-3)$ .

$(x-3)^2=-8(y-3)$ .

We make y the subject to get,

$y=-\frac{1}{8}(x-3)^2+3)$ .

This is the same as

$f(x)=-\frac{1}{8}(x-3)^2+3)$ .

4 0

2 years ago

What is the measure of ∠H? <br>1. 115<br>2. 65<br>3. 50<br>4. 25

ddd [48]

Answer:

2

Step-by-step explanation:

Since FG is congruent to FH, angles FGH and FHG are congruent since angles opposite congruent sides in a triangle are congruent.

3 0

1 year ago

Select the equation that represents the following graph<br>

stiks02 [169]

Answer:

there is nothing atttached or no options given

Step-by-step explanation:

3 0

3 years ago

Solve the following system: y = x 3 4x y = 18 (6, 3) (3, 6) (â’3, 6) (3, â’6).

Nastasia [14]

The solution of the given equation is (3,6). The correct option is B.(3,6)

<h3>Given equations,</h3>

$y=x+3.......(1)\\4x+y=18.....(2)$

<h3>How to solve the equations?</h3>

putting the value of y from equation (1) in equation (2) , we get

$4x+x+3=18\\$ $5x=18-3\\5x=15\\x=3$

substitute the value of x=3 in equation (1) we get,

$y=3+3\\y=6$

Hence, the solution of given equation is (3,6).

So, the correct option is B.

For more details about the system of equations, follow the link:

brainly.com/question/12895249

4 0

2 years ago

Which values of a, b, and c correctly represent the answer in simplest form? 3 =a O a=38.0= 14.0=1 a=1.0= 14.C = 38 O a= 1.5=7.C

katrin [286]

Answer:

The answer could be A) or D) because the zero acts as a place holder. Its a little easier to derive it if you have a bigger decimal

Step-by-step explanation:

5 0

3 years ago