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
Which of the following is the solution
stealth61 [152]

|x|-2\leq -3

so|x|\leq -1 (this is wrong because |x|\geq 0 )


6 0
3 years ago
Mr. Kaplan bought 11 tickets to the circus and spent $50. He bought child tickets for $4 each and bought adult tickets for $7 ea
NNADVOKAT [17]
Adult - 2 tickets . child- 9 tickets.
7 0
3 years ago
Solve each equation using inverse operations: 1. 9w = -54 2. b - 12 = 3 3. n/4 = -11
katovenus [111]

Hello!

Answer:

1. \boxed{W=-6}

*The answer must have A NEGATIVE SIGN ONLY!*

2. \boxed{B=15}

*The answer must have A POSITIVE SIGN ONLY!*

3. \boxed{N=-44}

*The answer must have a NEGATIVE SIGN ONLY!*

Step-by-step explanation:

1. 9w=-54

First, you divide by 9 both sides of an equation.

9w/9=-54/9

Simplify.

-54/9=-6

<u><em>W=-6 is the final answer.</em></u>

____________________________________

2. b-12=3

First you add by 12 both sides of an equation.

b-12+12=3+12

Add by the numbers from left/right.

3+12=15

<u><em>b=15 is the final answer.</em></u>

__________________________________________

3. n/4=-11

First you multiply by 4 both sides of an equation.

4n/4=4(-11)

Multiply by the numbers from left/right.

4*-11=-44

<u><em>n=-44 is the final answer.</em></u>

_____________________________

Hope this helps you!

Have a great day! :)

:D

-Charlie

Thanks!

3 0
3 years ago
Which of these steps is a step in constructing an inscribed regular hexagon using technology
Zanzabum
Create circle B with radius AB
8 0
3 years ago
Plato combining functions mastery test please help
just olya [345]

Answer:

<em>Choice: B.</em>

Step-by-step explanation:

<u>Operations With Functions</u>

Given the functions:

f(x)=\sqrt[3]{12x+1}+4

g(x)=\log(x-3)+6

The function (g-f)(x) can be obtained by replacing both functions and subtracting them as follows:

(g-f)(x)= g(x) - f(x)

(g-f)(x)= \log(x-3)+6 - (\sqrt[3]{12x+1}+4)

Operating:

(g-f)(x)= \log(x-3)+6 - \sqrt[3]{12x+1}-4

Joining like terms:

\boxed{(g-f)(x)= \log(x-3) - \sqrt[3]{12x+1}+2}

Choice: B.

7 0
3 years ago
Read 2 more answers
Other questions:
  • G(x) = -x+1 <br> H(x)= x-2<br> Find g(x) • h(x)
    10·1 answer
  • What is 6 3/4 in a whole number
    11·1 answer
  • A student was given a piece of rope and told to cut it into two equal pieces, keep one piece, and pass the other piece to the ne
    9·1 answer
  • 3/7=h/14-2/7<br> solve for h
    12·2 answers
  • 8)Find a point R on segment ST such that the length of TR is 2/3 the length of ST. *
    15·1 answer
  • All that is left in a packet of candy are 7 reds, 4 greens, and 2 blues, What is the probability that a random drawing yields a
    6·2 answers
  • Encontrar las coordenadas en el círculo trigonométrico para los segmentos de recta cuyo ángulo tienen un valor de α = 45°
    15·1 answer
  • What is the equation of a circle with its center at (5,-2) and a radius of 3? A (x – 5)2 + (y + 2)2 = 3 B (x - 5)2 + (y + 2)2 =
    7·1 answer
  • Hey can i get some help pls.
    12·2 answers
  • _______ 2. Find the length of PQ
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!