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
leonid [27]
3 years ago
13

Which is the equation of the parabola?

Mathematics
1 answer:
Umnica [9.8K]3 years ago
4 0

Answer: y=-\dfrac{1}{8}(x - 2)^2 - 3

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

The vertex form of a parabola is: y = a(x - h)² + k    where

  • (h, k) is the vertex
  • a=\dfrac{1}{4p}  

NOTE: p is the distance from the vertex to the focus

The vertex (h, k) is (2, -3)

p=-2\quad \implies\quad a = \dfrac{1}{4(-2)}=-\dfrac{1}{8}

Insert those values into the vertex formula to get:

y=-\dfrac{1}{8}(x - 2)^2 - 3

You might be interested in
What does 7x-≥6x-9 equal
yarga [219]

Answer:

Step-by-step explanation:

7x-=6x-9

7x=6x-9

7x+9=6x-9+9

7x+9=6x

7x+6x=9

13x=9

X=0.69

8 0
3 years ago
Answer this question please; number 5... show all work thank you
My name is Ann [436]

Answer:

rate of the plane in still air is 33 miles per hour and the rate of the wind is 11 miles per hour

Step-by-step explanation:

We will make a table of the trip there and back using the formula distance = rate x time

                 d              =            r       x       t

there

back

The distance there and back is 264 miles, so we can split that in half and put each half under d:

               d            =         r        x        t

there    132

back     132

It tells us that the trip there is with the wind and the trip back is against the wind:

           

              d           =        r         x        t

there     132        =    (r + w)

back      132       =     (r - w)

Finally, the trip there took 3 hours and the trip back took 6:

           

             d         =        r        *        t

there    132     =    (r + w)     *       3

back     132     =    (r - w)      *       6

There's the table.  Using the distance formula we have 2 equations that result from that info:

132 = 3(r + w)        and        132 = 6(r - w)

We are looking to solve for both r and w.  We have 2 equations with 2 unknowns, so we will solve the first equation for r, sub that value for r into the second equation to solve for w:

132 = 3r + 3w and

132 - 3w = 3r so

44 - w = r.  Subbing that into the second equation:

132 = 6(44 - w) - 6w and

132 = 264 - 6w - 6w and

-132 = -12w so

w = 11

Subbing w in to solve for r:

132 = 3r + 3(11) and

132 = 3r + 33 so

99 = 3r and

r = 33

7 0
3 years ago
(-3)(-5)[-1-2]<br> Slove the problem
Alja [10]

Answer:

-45

Step-by-step explanation:

(-3)(-5)(-1 - 2)

(-3)(-5)(-3)

(15)(-3)

-45

7 0
3 years ago
Read 2 more answers
1. Mr. Wahnon’s Vintage Sound Systems Emporium has experienced a decrease in its sales since opening in 2010. Since then, sales
scZoUnD [109]
1. Since the sales of 8-track players are decreasing by 5.1% per year, we can say that the sales after a year are 94.9% of the sales of the previous year. For succeeding years, we just multiply the percentage a number of times corresponding to the number of years. Forming an exponential function for this we'll get:

f(x) = 390*0.949^{x} where x is the number of years and f(x) is the number of sales.

To find the number of sales in 2013 we just plug in 3 for the value of x:

f(3) = 390*0.949^{3}=333

ANSWER: Emporium sold 333 8-track players in 2013.

2. The half life of Neptunium-229 is modeled by A=500* \frac{1}{2} ^{ \frac{t}{4} } where A is the final amount and t is the time that has passed in minutes. This just means that the original amount will be multiplied by one half for every 4 minutes.

30 minutes has passed from 7:45 am to 8:15 am. Therefore, we just substitute 30 as the value of t to find the amount of Neptunium remaining by 8:15.

A=500* \frac{1}{2} ^{ \frac{30}{4} }=2.76

ANSWER: 2.76 grams of Neptunium-229 are remaining at 8:15 am.

3. To find how much annual interest is collected over x years, we just do the same modelling as the previous items. Knowing that the initial amount that Mr. Canonaco deposited into his bank account and that the <span>Dewey, Cheetum, & Howe Credit Union collects 6.25% annual interest per year, the equation will be as follows:

</span>f(x)=2475.76*0.0625^{x} where x is the number of years and f(x) is the annual interest collected.
5 0
3 years ago
Answer this question please.
weeeeeb [17]

Answer:

see explanation

Step-by-step explanation:

The side of the square = x + 2, thus area is equal to

(x + 2)² ← expand using FOIL

= x² + 4x + 4

Given area = 7 then

x² + 4x + 4 = 7 ( subtract 4 from both sides )

x² + 4x = 3 ← as required

4 0
4 years ago
Read 2 more answers
Other questions:
  • What dose 5t=25 mean?
    11·2 answers
  • In simplified form, V18 is
    10·1 answer
  • What is 5x-17+3x-11=180
    9·2 answers
  • I want to know the answers to the ones circled
    12·1 answer
  • W(t) = x3 + 4; Find w(4)
    7·1 answer
  • Ayden collects football, baseball, and Pokémon cards. He has four times as many baseball cards as football cards. His Pokémon ca
    6·1 answer
  • Write the equation of the line that passes through the points (-2,-5)(−2,−5) and (8,-8)(8,−8). Put your answer in fully reduced
    8·1 answer
  • In rhombus XYZQ below, XZ is 10 centimeters
    15·1 answer
  • Imagine you write each letter
    14·2 answers
  • Plxxx help me i'm giving brainlyest
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!