1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
just olya [345]
2 years ago
11

Hii please help i’ll give brainliest

Mathematics
2 answers:
nlexa [21]2 years ago
7 0

Answer:

its the last one

Step-by-step explanation:

marshall27 [118]2 years ago
5 0

Answer:

d

Step-by-step explanation:

You might be interested in
A circle has a radius of 5cm. find its area and circumference.
daser333 [38]

Answer:

A = 78.5

C = 31.4

Step-by-step explanation:

Circumference = 2πr

r = 5

C = 2(3.14)(5)

Circumference = 31.4

Area = \pi r^2

r = 5

A = (3.14)(5^2)=(3.14)(25)=78.5

5 0
2 years ago
<img src="https://tex.z-dn.net/?f=F%28x%29%20%3D%20%5Cfrac%7Bx%5E%7B3-8%7D%20%7D%7Bx%5E%7B2%7D%20-6x%2B8%7D" id="TexFormula1" ti
Firlakuza [10]

Answer:

  • Domain: All the real values except x = 2 and x = 4: R - {2, 4}
  • Holes: x = 2
  • VA, vertical asymptores: x = 4
  • HA: horizontal asymptotes: there are not horizontal asymptotes
  • OA: oblique asymptotes: x + 6 [note that OH does not stand for any known feature, and so it is understood that it was intended to write OA]
  • Roots: x = 2
  • Y-intercept: -1

Step-by-step explanation:

1. <u>Given</u>:

f(x)=\frac{x^3-8}{x^2-6x+8}

  • Note that the number 8 in the numerator is not part of the power.
  • Type of function: rational function

2. <u>Domain</u>: is the set of x-values for which the function is defined.

The given function is defined for all x except those for which the denominator equals 0.

  • Denominator:  x² -6x + 8 = 0
  • Solve for x:

        Factor. (x - 4 )(x - 2) = 0

        Zero product property: (x - 4) = 0 or (x - 2) = 0

        x - 4 = 0 ⇒ x = 4

        x - 2 = 0 ⇒ x = 2

  • Domain:

        All the real values except x = 2 and x = 4: x ∈ R / x ≠ 2 and x ≠ 4.

3. <u>Holes</u>:

The holes on the graph of a rational function are at those x-values for which both the numerator and denominator are zero.

  • Find the values for which the numerator is zero:

        Numerator: x³ - 8 = 0

        Factor using difference of cubes property:

                   a³ - b³ = (a - b)(a² + ab + b²)

                   x³ - 8 = (x - 2)(x² + 2x + 4) = 0

        Zero product property:  (x - 2)(x² + 2x + 4) = 0

                    x - 2 = 0 ⇒ x = 2                    

                    x² + 2x + 4 = 0 (this has not real solution)

  • The values for which the denominator is zero were determined above: x = 2 and x = 4.

  • Conclusion: for x = 2 both numerator and denominator equal 0, so this is a hole.

4. <u>VA: Vertical asymptotes</u>.

The vertical asymptotes on the graph of a rational function are the vertical lines for which only the denominator (and not the numerator) equals zero.

  • In the previous part it was determined that happens when x = 4.

5. <u>HA: Horizontal asymptotes</u>.

In rational functions, if the numerator is a higher degree polynomial than the denominator, there is no horizontal asymptote.

6. <u>OA: oblique asymptotes</u>

  • Find the quotient and the remainder.

                       x + 6

                  _______________

x² - 6x + 8 )   x³ + 0x² + 0x - 8

                  - x³ + 6x² - 8x

                   ___________

                          6 x² -   8x -  8

                        - 6x² + 36x - 48

                        _____________

                                    28x  - 56

Result: (x + 6) + (28x - 56) / (x² - 6x + 8)

  • Find limit x → ∞

\lim_{x \to \infty}(x + 6) + \frac{28x-56}{x^2-6x+8}=x+6

<u>7. Roots</u>:

Roots are the values for which f(x) = 0.

That happens when the numerator equals 0, and the denominator is not 0.

As determined earlier: x³ - 8 = 0 ⇒ x = 2.

8. <u>Y-Intercept</u>

The y-intercepts of any function are the y-values when x = 0

  • Substitute x = 0 into the function:

         f(x)=\frac{x^3-8}{x^2-6x+8}=\frac{0^3-8}{0^2-6(0)+8}}=\frac{-8}{8} =-1

3 0
3 years ago
The graph of f(x)=3•2^x -3 is shown below. G(x) is a transformation of f(x). How would you write the equation for the function g
Bezzdna [24]

Answer:

C

Step-by-step explanation:

To find the appropriate equation, notice the red graph has shifted up about 6 units. This means that 3*2^x-3 which is shifted by -3 will move 6 up. -3+6= 3. This means the function will have +3. Only B and C are options. Now test a point. Notice the red function crosses the y-axis at about 5 or 6 when x=0.

g(x) = 2^x+3\\g(0) = 2^0+3\\g(0)=1+3\\g(0)=4

This function doesn't match.

f(0) = 3*2^0+3\\f(0) = 3*1+3\\f(0)=6

This function matches. Option C is correct.

3 0
3 years ago
What is the answer to 3s=45?
german
S= 15


3s=45
3s/3=45/3
S=15
You have to divide both sides
5 0
3 years ago
PLZ HELP QUICK WILL MARK BRAINLIEST
slega [8]
For the Fist One it’s Pentagonal Pyramid
5 0
3 years ago
Other questions:
  • Help please the questions are in the pictures
    10·1 answer
  • Can you guys help me?
    10·1 answer
  • Write 0.001742 in scientific notation.
    12·2 answers
  • On a map, 0.25 inches represents 1 mile. What is the area of a rectangle on the map that is 3.75 inches long and 2.25 inches wid
    8·2 answers
  • I need help! thank you
    14·1 answer
  • WHO EVER ANSWERS FIRST AND IS CORRECT GETS BRAINLIEST!!!
    14·1 answer
  • Find the surface area do not round your answer
    13·1 answer
  • What is the image of the point (- 6, 1) after the reflection over the line y = 2 ?
    12·1 answer
  • HELPP I GIVE BRAINLESTT RN I NEED THIS IN 5 MINUTESSS RNNNN
    15·1 answer
  • Evaluate the expressions when x = 3; y = 4 &amp; z = -2
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!