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
Andreyy89
3 years ago
6

Use the data set to create a quadratic function if it applies. Use the model to predict the value of x when y = -4.

Mathematics
1 answer:
tigry1 [53]3 years ago
7 0
<h3>Answer:</h3>

The closest choice is ...

C)  27.48 and 5.20

<h3>Step-by-step explanation:</h3>

Using the equation ...

  y = ax² + bx + c

You can substitute the first three points to get linear equations in a, b, and c.

  10 = a(-3)² +b(-3) +c = 9a -3b +c

  4 = a(0)² + b(0) +c = c

  -1 = a(3)² + b(3) +c = 9a +3b +c

The second equation tells us c=4. Subtracting the first equation from the last, we get ...

  (9a +3b +c) -(9a -3b +c) = (-1) -(10)

  6b = -11

  b = -11/6

Then we can find "a" from the first equation:

  10 = 9a -3(-11/6) +4

  1/2 = 9a . . . . subtract 19/2

  1/18 = a . . . . . divide by 9

The model is ...

  y = (1/18)x² -(11/6)x +4 . . . . . . . . [call this "model A"]

  y = (x² -33x +72)/18

Solving this for y = -4, we have ...

  -4 = (x² -33x +72)/18

  x² -33x +144 = 0 . . . . . . multiply by 18, add 72

  (x -16.5)² -128.25 = 0 . . . . put in vertex form

  x = 16.5 ±√128.25 ≈ {5.17525, 27.8248}

___

The closest values to these among the choices offered are those of choice C. It appears that the coefficients of <em>model A</em> were rounded to 3 decimal places (or so) before the predicted x-values were computed.

You might be interested in
Are the points B, F, and W coplanar?
Alla [95]
Where’s the picture of the angle?
4 0
3 years ago
Read 2 more answers
What is the scale factor of 8in=200mi?
BigorU [14]
200 / 8  =  25

scale factor is 1:25  or 0.04
8 0
3 years ago
Read 2 more answers
Please help I need the right answer ill give brainliest pleaseee helpppp
drek231 [11]

Answer:

y=3x+1, or the second option

Step-by-step explanation:

We can see on the graph the line converges with the y-axis at (0, 1), so we can cross out the last two answers. Then we can also see that the slope is 3 on the graph and an equation that has x^2 must be a parabola. The answer is then narrowed down to the second option.

4 0
2 years ago
Read 2 more answers
How to find the domain and range of numbers
charle [14.2K]

Answer:

m a g i c  t h a t ' s  h o w

4 0
3 years ago
What is the value of s?​
Leya [2.2K]

Answer: a value is like how much is the pice or like counting money

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What is the solution to the equation sqrt2x+6-sqrtX+4=1?
    12·2 answers
  • 16 hours ÷803.2 miles
    14·1 answer
  • Show how Carly can work out 171/2% of 240 in her head
    5·1 answer
  • Out of 32 students in Mr, Martins class 18 are boys . If this ratio is proportional
    14·1 answer
  • 50(b+5) - 68 + 23 HELLPPP
    15·2 answers
  • Please help me if you can​
    8·2 answers
  • Need help with Algebra 2! Thank you! :)
    15·1 answer
  • Factor 2k^2 - k - 3<br> A: (2k-3)(k+1)<br> B: (k-1)(2k+3)<br> C: (2k-1)(k+3)<br> D: (k-3)(2k+1)
    12·1 answer
  • The fastest elevators in the Burj Khalifa can travel 330 feet in just 10 seconds. How far does the elevator travel in 11 seconds
    13·1 answer
  • Which of the following statements does NOT adequately describe a developmental progression?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!