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
2 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]2 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
The number of runs scored by the home team at a baseball game is represented by ( x + 10). The number of runs scored by the visi
Zinaida [17]

Maria participates in a sports activity and runs the following amount__________45m

Cual es la respuesta???????

7 0
2 years ago
A cube with 4 faces has a length of 4.5cm.find the total surface area​
qwelly [4]

Answer:

81 cm square

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve the following equation by completing the next two lines (showing all work )<br> X + 6 = 10
WITCHER [35]

Answer:

x=10-6

x=4

Step-by-step explanation:

for which level

6 0
3 years ago
Need Help!
gayaneshka [121]
The discounted price for milk is $3.35

7 0
2 years ago
Find the area of the region bounded by the graphs of f(x)= x^3 + x^2 -6x and
Blizzard [7]
Might be A not sure though
6 0
2 years ago
Other questions:
  • What is the length of the support AB ?
    7·2 answers
  • ??????could anyone help
    15·1 answer
  • Of the 90% students that mr. Landon teaches 30% of them received an A on the last math test how many students received an A
    8·1 answer
  • Can someone answer this question please?
    14·1 answer
  • 2x-9x+17=-4<br> I have a answer but I’m not sure if I’m correct so I just want to double check.
    9·2 answers
  • What is the approximate value of x in the triangle below
    9·1 answer
  • You buy tomato sauce for $0.37 per ounce. One portion of potato gnocchi requires 3.5 ounces of tomato sauce. How much does the s
    5·2 answers
  • Y-4=3(x-1) identify the slope
    10·1 answer
  • a lion gamer spent a total of 400$. the circle graph shows what percent was spent on each item. find the amount spent on a.costu
    9·2 answers
  • Tweleve is no less than the sum of a number n and 3
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!