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3 years ago

9

Find the hole/holes of the function f(x)=2x^2-10x+12/x^2-3x-2

1 answer:

pshichka [43]3 years ago

8 0

Answer:

There is no hole

Step-by-step explanation:

2x^2-10x+12 = 2(x-2)(x-3) zeros: x=2 or x=3

x^2-3x-2=0 zeros: x=(3±√17) / 2

the numerator and denominator do not have any common factor

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Solve x2 + 2x = 4 for x by completing the square. x equals plus or minus square root of 5 plus 1 x equals plus or minus square r

steposvetlana [31]

Answer:

x equals plus or minus square root of 5 minus 1

Step-by-step explanation:

we have

$x^{2} +2x=4$

Divide by 2 the coefficient of the x-term

$2/2=1$

squared the number

$1^2=1$

Adds both sides

$x^{2} +2x+1=4+1$

$x^{2} +2x+1=5$

Rewrite as perfect squares

$(x+1)^{2}=5$

take the square root both sides

$x+1=(+/-)\sqrt{5}$

$x=(+/-)\sqrt{5}-1$

therefore

x equals plus or minus square root of 5 minus 1

4 0

3 years ago

HELPP <br> Complete the ratio table.<br> 5 1<br> 30 6<br> 60 _<br> 75 _<br> 80 _

goldfiish [28.3K]

Answer:

12 27 32 it could be wrong though

5 0

2 years ago

What is 63 over 75 as a decimal?

marissa [1.9K]

Answer:

0.84

Step-by-step explanation:

Use a calculator. That would be 0.84.

3*21

Note that 63/75 = ---------- = 21/25. Multiplying top and bottom by 4 results

3/25 in 0.84 (so this answer checks out ok)

3 0

4 years ago

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

3 years ago

What is the cube root of 0.008? A) 2 B) 0.2 C) 0.02 D) 0.002

bazaltina [42]

Correct answer is 0.2

0.2 * 0.2 is 0.04
then 0.04 * 0.2 = 0.008

7 0

4 years ago