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
taurus [48]
3 years ago
15

Domain of the function

Mathematics
1 answer:
dimaraw [331]3 years ago
4 0
Hello : 
 y exist : x+6 <span>≥ 0
x </span>≥ -6
You might be interested in
Laura needs to rent a car while on vacation. the rental company charges $18.95, plus 15 cents for each mile driven. if laura onl
Oduvanchick [21]
140 miles

45yh5hqyuj5w27i6o4e64e8o
6 0
3 years ago
Could someone help me rnnn?
GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola:  y=3x^2-4

Step-by-step explanation:

Given:

  • y-intercept of parabola: -4
  • parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola:  y=a(x-h)^2+k

(where (h, k) is the vertex and a is some constant)

Substitute point (0, -4) into the equation:

\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}

Substitute point (-2, 8) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}

Substitute point (1, -1) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}

Equate to find h:

\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}

Substitute found value of h into one of the equations to find a:

\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}

Substitute found values of h and a to find k:

\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}

Therefore, the equation of the parabola in vertex form is:

\implies y=3(x-0)^2-4=3x^2-4

So the vertex of the parabola is (0, -4)

5 0
2 years ago
Read 2 more answers
A factory employs over 3000 workers, of whom 30% are women. If the 15 members of the union executive committee were chosen from
ira [324]

Answer:

I think 4000 worker and I will be there at some point today and I

5 0
2 years ago
Fwee points also can somebody please answer my last 2 question pwease ♡
ladessa [460]

Why thank u very much

4 0
3 years ago
Read 2 more answers
If two sides of a triangle are 7 and 14, the third side may be?
sukhopar [10]

Answer:

it would be 2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Which expression is equivalent to b^-e?<br>A. b+1/-e<br>B. 1/b^e<br>C. b^e
    5·2 answers
  • Find the midpoint M of the line segment joining the points P (-5,-3) = Q and = (1,1)
    9·1 answer
  • Kevin and Colton go to the movie theater and purchase refreshments for their friends.
    14·2 answers
  • community swimming pool has a deep end and a shallow end. The volume of water in the deep end can be represented by (2x^3 + 12x2
    11·1 answer
  • . A bag contains 15 balls of which x are red.
    9·1 answer
  • Which value of p is the solution of 5p-1=2p+20​
    15·1 answer
  • Find the m BD, given: mZCPA= 42, ZFPC = 90°
    5·1 answer
  • 42<br> Solve the equation: 8 =<br> a) z = 10<br> b) z = 44<br> c) z=3<br> d) z=7
    14·1 answer
  • How is the product of 2 and 5 shown on a number line?
    13·1 answer
  • The local zoo has some kangaroos and some rabbits, There are 70 feet and 26 heads in total. How many kangaroos and how many rabb
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!