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2 years ago

This graph is an example of

Mathematics

2 answers:

masha68 [24]2 years ago

7 0

Answer:

option A is correct. this graph is a linear function

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept

Evgen [1.6K]2 years ago

5 0

Answer:

Step-by-step explanation:

It is not a function at all because it does not have necessary properties of a function, it is just a graph

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enelope determined the solutions of the quadratic function by completing the square. f(x) = 4x2 + 8x + 1 –1 = 4x2 + 8x –1 = 4(x2

Marat540 [252]

The correct question is
Penelope determined the solutions of the quadratic function by completing the square.
f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?

we have that
f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
4x² + 8x + 1=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(4x² + 8x)=-1

Factor the leading coefficient

4*(x² + 2x)=-1

Complete the square Remember to balance the equation by adding the same constants to each side.

4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)

Rewrite as perfect squares

4*(x+1)²=3

(x+1)²=3/4--------> (+/-)[x+1]=√3/2

(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2

(-)[x+1]=√3/2----> x2=(-2-√3)/2

therefore

the answer is

Penelope should have added 4 to both sides instead of adding 1.

6 0

3 years ago

Read 2 more answers

PLEASE HELP I WILL MARK BRAINLIEST! Question is in the image.

deff fn [24]

Answer:

Step-by-step explanation:

The interquartile range of a data set is the difference between the upper and lower quartiles.

First, put the values in order from least to greatest:

8, 9, 9, 9, 10, 11, 13, 15, 17, 18, 22

To find the upper quartile, we need to first find the median.

The median of this data set is 11, because it is in the middle of the values.

The upper quartile is the median of all the numbers to the left of 11.

The median of 8, 9, 9, 9, and 10 is 9, because it's in the middle.

So the upper quartile is 9.

The lower quartile is the same, but to the right of 11. The median of 13, 15, 17, 18, and 22 is 17 because it's in the middle.

Now, to find the interquartile range, find the difference between 18 and 9.

17 - 9 = 8

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3 years ago