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
Kruka [31]
3 years ago
7

Which function pass through the points (1, 4), (2, 9), and (3, 16)?

Mathematics
1 answer:
swat323 years ago
8 0

ANSWER

y=  {(x+ 1)}^{2}

EXPLANATION

The given points are:

(1, 4), (2, 9), and (3, 16)

It is obvious that the function is not linear because there is no constant difference among the y-values.

We can however manipulate the y-values to quickly identify the function.

4 =  {2}^{2}  =  {(1 + 1)}^{2}

9=  {3}^{2}  =  {(2 + 1)}^{2}

16=  {4}^{2}  =  {(3 + 1)}^{2}

We can infer from the pattern that, the function is;

y=  {(x+ 1)}^{2}

You might be interested in
What is the GCF using distributive property of 40 and 25?
liraira [26]

Answer:

Great Common Factor ♡•♡

6 0
2 years ago
Read 2 more answers
16x squares + 7x squared
anyanavicka [17]

Answer:

23x^2

Step-by-step explanation:

When adding variables, if they have the same exponent then all that needs to be done is add the constants. In this case both have x^2 so the answer is 23x^2. Hope this helps! :)

5 0
3 years ago
What does a residual value of 1. 3 mean when referring to the line of best fit of a data set? A data point is 1. 3 units above t
Darina [25.2K]

You can use the fact that a residual value is obtained by subtracting the prediction by the line of best fit from the actual data value we have.

The residual value 1.3 when referring to the line of best fit of a data set means:

Option B: A data point is 1.3 units below the line of best fit

<h3>What is a residual value and how is it calculated?</h3>

First of all, this whole story starts with data. We get data and we try to fit a line which can best imitate the way data is lying on the coordinate plane.

Remember that on a 2d coordinate cartesian plane, we have (x,y) called as point on plane and x is abscissa and y is called ordinate.

Let the best fit line be denoted by y = mx + c (assuming we're working with 2d data) with slope m and y-intercept c.

Now, this line is used to predict where can the next data point may lie.

When this best fit line is used to predict already present data point, we get the error that best fit line made when predicting the real data.

This is measured by "residual value"

For data point with ordinate b, we suppose get prediction as y

Then we have the residual value as y - b.

Remember, the prediction is before the real data point's ordinate.

<h3>How to know what does 1.3 residual value mean?</h3>

Let the real value be b and the predicted value be y from which this residual was calculated.

Then we have:

y - b = 1.3

y = 1.3 + b

Thus, we see that prediction is bigger than the real data point's y-ordinate. Since y axis has increasing value as we go higher and higher vertically, thus this prediction value's ordinate is higher than that of real value's ordinate.

The prediction, since shows the height of best fit line on that input point, thus we have:

Option B: A data point is 1.3 units below the line of best fit.

Learn more about line of best fit here:

brainly.com/question/2396661

8 0
2 years ago
Which graph shows the following system of equations and its solutions? -0.1x-0.3y=1.2 and 0.2x-0.5y=2
Vera_Pavlovna [14]

Answer:

Option b is the correct answer as both the equations are true for given solution.

Step-by-step explanation:

Given equations are:

-0.1x-0.3y=1.2

0.2x-0.5y=2

We can observe each graph and find the point that is the solution and put the point in the equations to know if that point is the solution

<u>For option A:</u>

(0,4)

Putting x=0 and y = 4 in both equations

-0.1(0)-0.3(4)=1.2\\0-1.2 =1.2\\-1.2 \neq 1.2\\0.2(0)-0.5(4)=2\\0-2 = 2\\-2 \neq 2

This is not the correct answer as both equations are not true with this solution

<u>For Option B:</u>

(0,-4)

Putting x = 0 and y = -4 in both equations

-0.1(0)-0.3(-4)=1.2\\0+1.2 = 1.2\\1.2 = 1.2\\0.2x-0.5y=2\\0.2(0)-0.5(-4) = 2\\2 = 2

Both equations are true for (0,-4) hence it is the solution of the system.

<u>For Option C:</u>

(4,0)

-0.1(4)-0.3(0)=1.2\\-0.4-0 = 1.2\\-0.4 \neq 1.2\\0.2x-0.5y=2\\0.2(4)-0.5(0) = 2\\0.8 \neq 2

Not true for both equations

Hence,

Option b is the correct answer.

7 0
3 years ago
Enter the sum of numbers as a product of their GCF. 45 + 30
nirvana33 [79]
45 + 30 = 15(3 + 2) = 15(5) = 75
7 0
3 years ago
Other questions:
  • What is 5x5 to 4x2.....
    6·2 answers
  • If m6 = 123.5°, then m1 is 56.5°. 67.5°. 123.5°. 136.5°.
    6·2 answers
  • What is the volume of a fish tank with dimensions 4 ft by 2 ft by 4 ft A 42 cubic inches B 36 cubic inches C 32 cubic inches D 3
    10·1 answer
  • Will make brainiest pls help :((
    15·1 answer
  • What graph would y^2-4x-2y-2 be? A circle, ellipse, parabola, or hyperbola?
    14·1 answer
  • Brainliest! Fast! Correct!
    11·2 answers
  • A rectangular painting measures 1/2 yards wide and 5/4 yards long find the area of the painting in square yards.
    14·1 answer
  • Exam
    9·1 answer
  • The parking garage at the airport has 72 empty parking spaces and 28 full parking spaces.
    6·2 answers
  • a local hamburger shop sold a combined total of 698 hamburgers and cheeseburgers on sturday . there were 52 fewer cheeseburger s
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!