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
erik [133]
3 years ago
15

What is the axis of symmetry of the function f(x) =-(x+9)(x-21)

Mathematics
2 answers:
damaskus [11]3 years ago
8 0

Answer:

x = 6

Step-by-step explanation:

The given equation is f(x)=-(x+9)(x-21)

We write the equation in standard form of parabola f(x)=ax^2+bx+c using FOIL

f(x)=-(x+9)(x-21)\\\\f(x)=-(x^2-21x+9x-189)\\\\f(x)=-x^2+12x+189

Now, we know that the axis of symmetry passes through the vertex. Hence, in order to find the vertex of the parabola, we find the x coordinate of the vertex.

x coordinate of the vertex is -\frac{b}{2a}

Here, a = -1 b = 12

-\frac{b}{2a}\\\\=-\frac{12}{2\cdot(-1)}\\\\=-(-6)\\\\=6

Therefore, the axis of symmetry is x = 6

QveST [7]3 years ago
6 0
<span>f(x) =-(x+9)(x-21)

Manipulating algebrically,
We get,
</span>f(x) =-(x+9)(x-21)
      = -(x^2 -21x + 9x - 189)
      = -(x^2 -12x - 189)
      = -x^2 + 12x + 189
Axis of symmetry = -b/2a
plugging the values,
x = -12/-2
   = 6
You might be interested in
31,50 is 42% os what number
sergeinik [125]
\frac{31,50}{x}=\frac{42}{100}

The right fraction represents the percentage; 42 over 100 (100 is the total), or 0.42.
The left fraction is the part number over the whole number. The whole number is unknown, so we use 'x'.


\frac{31.50}{x} = \frac{42}{100}\\\\cross\ multiply\\\\31.50\times100=3150\\42\times x=42x\\\\3150=42x\\x=75
Your answer is 75.

3 0
3 years ago
In the quadratic equation 22 + 5x + 6 = 0
Inessa05 [86]
A=0 b=5 c=6 esaaa es!!!!!!
8 0
2 years ago
At work, Brett must check and record the internal temperature of the freezer on an hourly basis. When working properly, the temp
antoniya [11.8K]

Answer:

B. zero

Step-by-step explanation:

If the temperature is supposed to remain constant over time (the same) when working properly, then this means that there is no increase or decrease over time.

If there were a line to represent this, then it would be a straight line with a slope of 0 because the temperature would remain the same.

4 0
3 years ago
2. Is x² + 4√x a polynomial ? Justify your answer. ​
nexus9112 [7]

Answer:

No it isn't

As the variable "x" has root in it which means it isn't a whole number and for a expression to be a polynomial the variable must be whole no.

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>you</em><em>!</em>

6 0
1 year ago
Read 2 more answers
What is an equation of the line that passes through the points (3, 0) and (6, -1)
Shalnov [3]
Y= -1/3x + 1

Please mark BRAINLEST!!

3 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE ANSWER I NEED DONE
    6·2 answers
  • This circle graph shows the results of a survey that asked people to identify their favorite sport.
    10·2 answers
  • A fish jumps out of water. The function y = −16t 2 + 11t models the height, in feet, of the fish above water after t seconds. A)
    15·1 answer
  • Someone explain to me if this is correct?
    9·2 answers
  • Carlita has 2 1/2 pounds of turkey, the cherries are 1/4 equal to the turkey, and the chocolate drips are .35 equal to the cherr
    14·1 answer
  • At a coffee shop, the first 100 customers’ orders were as follows
    9·1 answer
  • As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the
    6·1 answer
  • PLEASED HELP IT IS DUE TODAY
    8·2 answers
  • 5. The sides of a right triangle have lengths of 7 m, 9 m, and 10 m. The hypotenuse
    5·2 answers
  • Fill in the missing number to complete the linear equation that gives the rule for this table. Explain/show how you got your ans
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!