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
Thepotemich [5.8K]
3 years ago
14

Which equation matches the graph shown below?

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
6 0
The graph is a parabola with roots at (-4.5, 0) and (0.5, 0) and vertex at (-2, -13)
Equation using roots is a(x + 9/2)(x - 1/2) = a(x^2 + 4x - 9/4) = ax^2 + 4ax - 9/4 a . . . . . . . . (1)
Equation using vertex is a(x + 2)^2 - 13 = a(x^2 + 4x + 4) - 13 = ax^2 + 4ax + 4a - 13 . . . . . . . . (2)
From (1) and (2), -9/4 a = 4a - 13
13 = 4a + 9/4 a = 25/4 a
a = (4 x 13)/25 = 2.08 = 2 approx

Therefore required equation is y = 2x^2 + 4(2)x + 4(2) - 13 = 2x^2 + 8x + 8 - 13 = 2x^2 + 8x - 5
You might be interested in
All you need is in the photo ​
AlexFokin [52]

Answer:

X + Y = 1 ------1

X - 2y = 4 ------2

Solving by substitution method

X = 4 + 2y -----3

Putting the value of X in equation 1

4 + 2y + y = 1

4 + 3y = 1

3y = 1 - 4

3y = (-3)

y = (-3) /3

<h3>y = (-1) </h3>

Putting value of y in equation 3

X = 4 + 2(-1)

X = 4 - 2

<h3>X = 2 </h3>

4 0
3 years ago
The data in the table can be entered into a calculator to determine a linear equation of best fit where x represents the number
Yakvenalex [24]

Based on the data given, the conclusion that can be drawn from the correlation coefficient associated with the linear equation is C. There's a weak negative correlation between the variables.

<h3>How to illustrate the information?</h3>

From the information given, it can be seen that the value of y is increasing with the increase in the value of x.

This implies that the correlation is positive. Also, the change in the values of y with x are scattered a lot.

Therefore, the conclusion that can be drawn from the correlation coefficient associated with the linear equation is that there's a weak negative correlation between the variables

Learn more about data on:

brainly.com/question/4219149

#SPJ1

7 0
2 years ago
The supply equation of a certain commodity is given by the equation: p = 20 + 3 where p is the price (in dollars) and s is the q
andrezito [222]
1.50 is charging but if p= 20 + 3 and that 23 then p is 23 divided by 1.50 and that going to be your answer
3 0
3 years ago
Find the medium of the following set of data. Round to the nearest 10th if necessary 26.1,8.4,11.4,44.1,32.3,46.41,18.5,20,9.3,1
vitfil [10]

Answer:

19.8

Step-by-step explanation:

You have to first put the numbers into ascending order:

8.4, 9.3, 11.4, 18.5, 19.6, 20, 26.1, 32.3, 44.1, 46.41.

Because there is an even amount of numbers, you end up with 19.6 and 20.

The in between of 19.6 and 20 is 19.8.

(You can work this out by adding the two numbers together and then dividing by two if you have to.)

8 0
4 years ago
Draw an area model. Then, Solve using the standard algorithm.<br> 642 x 257
Darina [25.2K]

Answer:

642 × 257 = 164,994

I hope it is helpful

4 0
3 years ago
Other questions:
  • Alice’s freezer can be set to a range of temperatures from -6degrees to -1degrees Celsius when the temperature is -1 Celsius it
    5·2 answers
  • 3+2i rationalize the denominator
    13·1 answer
  • What value of n makes the equation true?<br>-1/5n + 7=2<br>n=​
    5·2 answers
  • PLS HELP When Isabel began her book-selling business, she stored her inventory in her garage. Now that her business has grown, s
    7·1 answer
  • I need the answer for this question cuz I dint know how tii oh do it
    6·1 answer
  • Find the equation of Straight line which passes through the point A(-5,10) makes equal intercept on both axes.
    9·1 answer
  • A survey asked 60 students if they play an instrument and if they are in band.
    13·1 answer
  • Solve for a.–13. 4a = 33.5
    11·1 answer
  • line a: y=-2/3+2 line b:y=3/2+9 line a and line b are: parallel, perpendicular, Neither, or Same line?
    11·1 answer
  • 6) The frequency table represents lunch choices for 22 middle school students. Each student may only make one choice. What frequ
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!