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
Elodia [21]
3 years ago
6

Write 4x2 + 16x - 9 in vertex form.

Mathematics
1 answer:
Alexxx [7]3 years ago
3 0

We know that the vertex form of any quadratic function is the form:

f (x) = a(x - h)^2 + k

The given quadratic function is f(x) = 4x^2 + 16x - 9

To convert it into the vertex form we will have to complete the square of the quadratic expression given here which may be done as shown below:

f(x) = 4x^2 + 16x - 9 =4(x^2+4x)-9

Thus, f(x)=4(x^2+4x+\mathbf{4})-\boldsymbol{\mathbf{16}}-9 (This is because adding a 4 inside the parentheses to complete the square is equivalent to adding 16 to the whole expression and thus we need to subtract 16 from the overall expression.)

\therefore f(x)=4(x+2)^2-25

The above is the vertex form of the original given function, f(x) = 4x^2 + 16x - 9.



You might be interested in
Help help help help helpe​
andrew-mc [135]

Answer:

H = 58, I = 71, J = 51

Step-by-step explanation:

Set all angles equal to 180

3x - 2 + 4x - 9 + 3x - 9 = 180

Then combine like terms

10x - 20 = 180

      + 20  + 20

10x = 200

/10     /10

x = 20

Then plug in for each angle

3 (20) - 2 = 58

4 (20) - 9 = 71

3 (20) - 9 = 51

4 0
2 years ago
Daniel is planning a 6-night road trip. It will cost $310 for transportation, $275 for food, and $70 per night for a hotel room.
Anna11 [10]

Answer:

Daniel must tutor 160 hours

Explanation:

310+275+70= 655

655×6= 3930 (he needs this amount of $)

(Daniel gains $20 per hour)

20×160= 3200

3200+745= 3945

3945 > 3930

Daniel has enough for the trip.

Where did I get 160?

Well, I was just trying out numbers and multiplying it by 20

The numbers I tried: 100, 150, 156, 159 & 160 but only 160 fit with the answer.

If it was just one night road trip he would've just needed $655, but since it's a 6-night road trip I multiplied it by 6.

Hope this helped!

3 0
3 years ago
Read 2 more answers
I need help with this. 3x + 5= 35, x =
Novay_Z [31]

Answer:

Step-by-step explanation:

3x + 5 = 35

3x = 30

x = 10

4 0
3 years ago
Please help!!<br> I need it
anygoal [31]

Answer:

4th

Step-by-step explanation:

make me as branalist

3 0
3 years ago
If it takes eight men ten hours to build a wall, how long would it take four men?
fomenos
If it takes eight men ten hours, it would take seven men nine hours, six men eight hours, five men seven hours and that brings us to the answer you need. It would take four men six hours.
7 0
3 years ago
Read 2 more answers
Other questions:
  • TUOTTERIT
    6·2 answers
  • Please help me ???????
    8·2 answers
  • I was wondering if anyone could help me on this question, I'm really stuck on it!
    6·1 answer
  • A football team scored 34 points in their first game, 21 points in their second game, 9 points in their third game, and 28 point
    11·2 answers
  • Five friends went out to dinner. They each paid $13.75 for the meal, including a 7% sales tax. What was the total cost of the me
    15·1 answer
  • What is the correct answer to -4|5+-3|
    12·1 answer
  • 1. Use algebraic identities to evaluate each of the followings
    8·1 answer
  • Come on mykel. help me answer this question mykel
    8·1 answer
  • The Candle Company is having its seminual sale. All items are 40 percent off. If the original price of a candle basket is $120,
    9·2 answers
  • Question : find the measure of angles x and y
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!