What is the mean, median, and mode of the data set? 35, 44, 77, 68, 43, 55, 28

50, 44, no mode
58, 44, no mode
70, 43, no mode
322, 43, no mode

Solved

Show answers

Ответ:

Nicole3246

06.09.2021

Mathematics

we have

$f(x)=-x^{2} -10x+16$

Convert the function into vertex form

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

$f(x)-16=-x^{2} -10x$

$f(x)-16=-(x^{2}+10x)$

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

$f(x)-16-25=-(x^{2}+10x+25)$

$f(x)-41=-(x^{2}+10x+25)$

Rewrite as perfect squares

$f(x)-41=-(x+5)^{2}$

$f(x)=-(x+5)^{2}+41$ --------> function in vertex form

the vertex is the point (-5,41)

the axis of symmetry must coincide with the x-coordinate of the vertex

-5=-5 ------> is correct

therefore

the answer is the option

(-5,41)

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice

What is the mean, median, and mode of the data set? 35, 44, 77, 68, 43, 55, 28 50, 44, no mode 58, 44, no mode 70, 43, no mode 322, 43, no mode