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
nlexa [21]
4 years ago
6

The vertex of this parabola is at (-5,-2). when the x-value is -4, the y-value is 2. what is the coefficient of the squared expr

ession in the parabola's equation

Mathematics
2 answers:
Westkost [7]4 years ago
6 0
Vertex:  (-5,-2); parabola opens up; 

General form of the equation for a vertical parabola opening up is:

y-k = a(x-h)^2; knowing that the vertex is at (-5,-2), we can write:

y+2 = a(x+5)^2.  We need to find the value of the coefficient a.

From the graph we see that y is 10 when x is approx. -1 3/4 (or -7/4).

subst. these values into y+2 = a(x+5)^2, we get:

10 + 2 = a(-7/4 + 5)^2, or 12 = a(13/4)^2, or   1 = a(169/16).

Solving for a:  a = 16/169 = 0.09, or approx 16/160, or 1/10.  Unfortunately, this is not close to any of the four answer choices.

I thought it best to try again, and fortunately my second try was correct:

10+2 = a(13/4)^2, or  (169/16)a.  Thus, 12 = a(169/16)

                                   12
Solving for a:  a = ------------- = 1.14.  The answer choice closest to this is 1.
                                169/16

Answer A is correct.



zaharov [31]4 years ago
6 0

Answer:

its 4 i just took it

Step-by-step explanation:

You might be interested in
At an ocean depth of 8 meters, a buoy bobs up and then down 5 meters from the ocean's depth. Sixteen seconds pass from the time
lisov135 [29]

Answer:

  See attached for a graph

Step-by-step explanation:

We're going to plot sea level as y=0 and a depth of 8 meters as y=-8.

The problem statement tells you the initial point (x=0) is at normal ocean depth (y=-8), so the first point you put into your sine tool is ...

  (x, y) = (0, -8)

The buoy takes 16 seconds to go from a high point to a low point, so the time to the first high point is half that, or x=8 seconds. That high point is 5 meters above its average depth, so is at y=-3.

The second point you will put into your sine tool is ...

  (x, y) = (8, -3)

7 0
3 years ago
A major car dealership has several stores in a big city. The owner wants to determine if there is a difference in the proportion
Gemiola [76]

Answer:

confidence interval = ( -0.38 , 0.08 )

Step-by-step explanation:

Given data :

n1 = 55 , n2 = 60 ,

Let P1 ( proportion of SUV sales at store A ) = 30 / 55 = 0.55

P2 ( sample proportion of SUV sales at store B ) = 42/60 = 0.70

The Z-value at 99% confidence Interval = 2.58

<u>Determine the 99% confidence interval for difference in proportion</u>

applying the formula below

( P1 - P2 ) ± Z ( \sqrt{p1( 1-p1)/n1  +  p2(1-p2)/n2}

Input values above into equation

confidence interval = ( -0.38 , 0.08 )

5 0
3 years ago
I will give brainliest!
MakcuM [25]

Answer:

yesss

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which properties are used to add these complex numbers? Check all that apply. (4+3i)+(8+2i)=(4+8i)+(3i+2i)=12+5i A. Associative
NISA [10]
A. Associative Property
B. Commutative Property
7 0
3 years ago
Read 2 more answers
9/10 - 1/2 can you help
Lubov Fominskaja [6]

Answer:

4/10 or 2/5

Step-by-step explanation:

9/10-1/2 = 9/10-5/10 = 4/10 = 2/5

4 0
3 years ago
Read 2 more answers
Other questions:
  • Picture with question
    14·1 answer
  • Bryan is making balloon Arrangements he has 8 blue and 12 cream balloons what is the greatest amount of Arrangements he can make
    6·2 answers
  • The solution to -2[1 - 4x] = 3x + 8 is
    11·1 answer
  • A submarine was traveling along the surface of the ocean and decides to dive. If the dive angle is 28° with the horizontal surfa
    13·1 answer
  • Find mZYCD
    11·1 answer
  • Shari and Ana are playing games at an arcade. Shari has $37.50 and is playing $0.50 games. Ana has $42.75 and is playing $0.75 g
    12·2 answers
  • HELP!!! answer quickly pls
    5·2 answers
  • I am so bored yall ttm plz
    11·2 answers
  • What is the value of x in the figure shown below?
    15·1 answer
  • Please HELP ME I need help on this final question
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!