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
Nataly [62]
3 years ago
8

For what values of x is each function increasing? For what values of x is it decreasing? a. f(x) = x2 - 4x​

Mathematics
1 answer:
Harrizon [31]3 years ago
6 0

Answer:

to the right of x = 2 the function is increasing

{ x | x > 2}

Step-by-step explanation:

Recall that this is a quadratic function, and therefore responds to the shape of a parabola. In this case is also a parabola with branches opening up since the coefficient of the square term is positive. So, we just need to find where the vertex is located, and we know that to the left of the x-value of the vertex the function is decreasing, and to the right of it the function is increasing.

The formula for the x of the vertex of a parabola of the form:

y=ax^2+bx+c

is  x_{vertex}=\frac{-b}{2\,a}

which in our case gives:

x_{vertex}=\frac{-b}{2\,a} =\frac{4}{2} =2

Therefore, to the left of x = 2 the function decreases , and to the right of x = 2 the function is increasing.

You might be interested in
What is the value of the expression below when z = 6
Oduvanchick [21]

Answer:

81

Step-by-step explanation:

2z^2+2z-3

Using PEMDAS/BODMAS, we will have to do the exponent first, which is z^{2}.

Substitute the variable z with 6, since z = 6.

2(6^{2} )+2(6)-3

6^{2} =36.

Thus, we will get

2(36)+2(6)-3

Solve the multiplication next.

72+12-3

Finally, add/subtract the numbers:

84-3

81

7 0
3 years ago
Factorise x square - 3 x minus 2​
lawyer [7]

Answer:

The answer is below

Step-by-step explanation:

The equation x² - 3x - 2 cannot be factorized, I think the correct question is:

factorize x² - 3x + 2​

Solution:

A quadratic equation is a polynomial equation of the second degree (that is there is at least one term with a degree of 2).

The standard form of a quadratic equation is given by the equation:

ax² + bx + c = 0

Where a, b, and c being constants and x is the unknown variable.

Given:

x² - 3x + 2

= x² - 2x - x + 2

= x(x - 2) -1(x - 2)

= (x - 1)(x - 2)

5 0
3 years ago
Which angle corresponds to 1/6 of a circle?
valentina_108 [34]
Will be 360/6 = 60 degrees 

so an angle with 60 degrees will corresponds to 1/6 of a circle 

hope this will help you 
3 0
3 years ago
How many sig figs does 5 280 feet have ?
ira [324]
It has 3 sig figs because 0 is not significant in this case because it’s at the end
5 0
3 years ago
Read 2 more answers
***Photo Attached***
tiny-mole [99]
I think your answer is jill
5 0
3 years ago
Read 2 more answers
Other questions:
  • The point (2,5) is on the terminal side of theta. Explain how to find tan theta
    14·1 answer
  • Can yall help me please if ysll do I will help yall
    6·2 answers
  • Context clues can be used to determine the blank of an unfamiliar word
    7·1 answer
  • Twice a number, decreased by 9 is 12
    12·2 answers
  • This one is a bit hard so i need help with this.
    8·1 answer
  • The graph below represents the following system of inequalities. y>x-2 y>2x+2 which points (x,y) satisfies the given syste
    8·1 answer
  • Solve the system of linear equations by substitution.What is the solution to x=2y+y and 3x+2y=3
    6·1 answer
  • A small water bottle holds 75% as much as a large water bottle.
    5·1 answer
  • Petra jogs 2 miles in 24 minutes. At this rate, how long would it take her to jog 12 miles?
    13·2 answers
  • (0.06+4.87) ^3 divided by the square root of 18.1-8.56
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!