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
ELEN [110]
3 years ago
14

Write in vertex form (by completing the square)y=4x2+40x+96

Mathematics
1 answer:
Anestetic [448]3 years ago
6 0
y=4x^2+40x+96\\ \\ The \ vertex \ form \ of \ the \ function \ is: \\ \\y = a(x - h)^2 + k \\ \\vertex =(h, k) \ is \ given \ by: \\ \\h = \frac{-b}{2a} , \ \ \ k = c -\frac{b^2}{4a} \\ \\a=4 , \ \ b=40 , \ \ c=96

h = \frac{-40}{2 \cdot 4}=\frac{-40}{8}=-5 \\ \\ k = 96 -\frac{40^2}{4 \cdot 4} =96-\frac{1600}{16} =96-100=-4 \\ \\ y = 4(x - (-5) )^2 + (-5)=4(x +5 )^2 -5


You might be interested in
How many different arrangements of 7 letters can be formed if the first letter must be w or k? (repeats of letters are? allowed)
mojhsa [17]
<h2>Answer:</h2>

The total number of different arrangements of 7 letters that are possible if the first letter will be w or k is:

                        617,831,552

<h2>Step-by-step explanation:</h2>

The number of different arrangements of 7 letters can be formed if the first letter must be w or k such that the repetition of the letters are allowed are:

   2×26×26×26×26×26×26

( Since, at the first place any of the 2 letter out of w or k could come up.

and from the second to seventh place any of the 26 letters of the English alphabet may come up )

Hence, total number of arrangements = 617,831,552

6 0
3 years ago
Debbie and Amy begin reading a book on the same day Debbie read nine pages a day and is on page 72 Amy read six pages a the day
raketka [301]
Amy is on page 48. 6 pages
3 0
3 years ago
Read 2 more answers
Pls help please!??!?!!??
sergeinik [125]

three consecutive integers 

the sum of the first two integers is 24 more than the third integer.

This means that the three integers are 25, 26 and 27.

8 0
3 years ago
A corporate team-building event costs $13, plus an additional $6 per attendee. How many
andrew-mc [135]

Answer:

 12

Step-by-step explanation:

The cost for n attendees will be ...

 cost = 2 + 2n

We want the cost to be, at most, 26, so we have ...

 26 ≥ 2 +2n

Dividing by 2 gives ...

 13 ≥ 1 + n

And subtracting 1, we find the answer:

 12 ≥ n

At most, there can be 12 attendees.

5 0
3 years ago
Is 0:5 and 0:20 equivalent ratios
qwelly [4]

Answer:

Not for sure but i think so

Step-by-step explanation:


4 0
4 years ago
Read 2 more answers
Other questions:
  • What is the equation of the line that goes through the point (-1,6) and (5,-4)
    11·1 answer
  • Change each mixed number into an equal improper fraction. a. 17⁄16 b. 115⁄9 c. 305⁄7 d. 1010⁄13 e. 243⁄5 f. 1291⁄2
    13·2 answers
  • You answer should say: Car _ by __ km/hr (Use care in answering!)
    14·1 answer
  • Write an equation of the line slope= -1; (2, 0)
    15·1 answer
  • All numbers less than or equal to 87 and greater than or equal to 83
    8·1 answer
  • Juan Carlos graphs the functions f(x) = 8x - 2 and g(x) = -8x + 2
    6·1 answer
  • Please show step by step
    5·1 answer
  • A 7<br> B 14<br> C 4.5<br> D 20.25
    15·1 answer
  • Which statement is true?<br> Plz help
    8·2 answers
  • Write the slope- intercept form of the equation
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!