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
lara31 [8.8K]
3 years ago
15

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

Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0
Carry out the mult.:  f(x) = -[x^2 - 21x + 9x - 189] 

Combine like terms:  f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [   ]:      f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c:   a= -1, b=12, c=189

The equation of the axis of symmetry is    x = -b/(2a), which here equals

x = -(12)/[2(-1)], or     x = 6

This is also the x-coordinate of the vertex.  Plug x=6 into the original equation to calculate the y-coordinate.
You might be interested in
Connor makes 3 batches of muffins . Each batch has 12 muffins . Connor eats 2 muffins . What is m, the number of muffins Connor
Dafna1 [17]
The answer is 34 :)
7 0
3 years ago
Solve the math problem
zalisa [80]

Answer:

\frac{4w {}^{8} }{9m {}^{4} }

Step-by-step explanation:

separate with like terms

\frac{4}{9} , \:  \frac{w {}^{9} }{w}  \: and \: \:  \frac{m {}^{5} }{m {}^{9} }

the first fraction can be left alone as it can't be simplified any further

the second fraction can be written as w⁹ ÷ w¹ , when the bases are the same and division is involved subtract the powers: 9 - 1 = 8, so it's simplified to w⁸

the third fraction can be written as m⁵ ÷ m⁹, subtract the powers: 5 - 9 = -4, so it's simplified to m⁻⁴

{m}^{ - 4}  =  \frac{1}{m {}^{4} }

putting it together:

\frac{4w {}^{8} }{9m {}^{4} }

4 0
2 years ago
The coach of a college basketball team categorizes the number of points
stealth61 [152]

A graph is a way to represent a lot of data in a visual format. thus the number of games in the category 51-57 are 3.

<h3>What is a graph?</h3>

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. the line of the graph is a function that follows the graph.

The categories and the data points can be arranged as;

51 - 57 = 51, 56, 55

58 - 64 = 63, 59, 60, 64

65 – 71 = 70, 67

72 or more = 75

Therefore, the number of games in the category 51-57 are 3.

Learn more about Graph:

brainly.com/question/14375099

#SPJ1

8 0
1 year ago
You discovered you can deduct medical expenses over 6% of your income. Your income is $42,000 and you had medical expenses of $5
iren2701 [21]

No portion of your medical expenses you can deduct

Step-by-step explanation:

You discovered you can deduct medical expenses over 6% of

your income

Your income is $42,000

You had medical expenses of $567

We need to find the portion of your medical expenses you can deduct

∵ Your income = $42,000

∵ You can deduct medical expenses over 6% of your income

- Find the 6% for your income

∵ 6% of the income = \frac{6}{100} × 42,000 = $2520

∴ 6% of your income is $2520

∵ You can deduct medical expenses over 6% of your income

∴ If your medical expenses greater than $2520, then you can

   deduct the value greater than it, but if your medical expenses

   smaller than $2520, then you can not deduct any value

∵ You had medical expenses of $567

∵ $567 < $2520

∴ There is no value you can deduct from your medical expenses

No portion of your medical expenses you can deduct

Learn more:

You can learn more about percentage in brainly.com/question/12960754

#LearnwithBrainly

4 0
3 years ago
Simplify.<br> Rewrite the expression in the form 4^n<br> (4^6)(4^-8) =
stiks02 [169]

Answer:

  4^-2

Step-by-step explanation:

The rules of exponents tell you ...

  (a^b)(a^c) = a^(b+c)

This means ...

  (4^6)(4^-8) = 4^(6-8) = 4^-2

7 0
3 years ago
Other questions:
  • A triangle has an area of 30 cm2. The base and height are scaled by a factor of 4.
    6·1 answer
  • Write 8.34* 10^4 in standard from
    5·2 answers
  • What is the surface area of this square pyramid?
    8·2 answers
  • 3. Your math, literature, Spanish, history, and science homework
    12·1 answer
  • Can someone help me figure this out?
    11·2 answers
  • Pls help me with this math
    13·1 answer
  • What is the ratio of 1.5 inch screws to 2.5 inch screws?
    6·1 answer
  • Please solve this system of equations using the Substitution Method:<br> y= 2x + 10 and 2x+y= -6
    10·1 answer
  • How would you find the intercept for the equation y^2=2-3x-2x^2? I need the steps to understand
    10·1 answer
  • G and F are supplementary angles. If F is fifteen less then four times the measure of G find the measure of both angles
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!