HELP!! NO LINKS FIND X

Solved

Show answers

Ответ:

DaisyHargrove23

05.06.2020

Mathematics

A. -4

B. 4

C. No values

Step-by-step explanation:

The table represents a linear function m(x)=ax+b. Find a and b:

$2=8a+b\\ \\3=10a+b$

Subtract these two equations:

$3-2=10a-8a\\ \\2a=1\\ \\a=0.5\\ \\2=8\cdot 0.5+b\\ \\4+b=2\\ \\b=-2$

Then

m(x)=0.5x-2

Check remaining points:

$m(12)=0.5\cdot 12-2=6-2=4\\ \\m(14)=0.5\cdot 14-2=7-2=5$

Part A: Find h(4)-m(16):

$h(4)-m(16)=\dfrac{1}{2}(4-2)^2-(0.5\cdot 16-2)=\dfrac{1}{2}\cdot 4-(8-2)=2-6=-4$

Part B: The y-intercept of the function h(x) is at 2, the y-intercept of the function m(x) is at point -2, then the distance between y-intercepts is

|2-(-2)|=4

Part C: Plot the graphs of the functions h(x) and m(x) (see attached diagram). The graph of the function h(x) is above the graph of the function m(x) for all values of x, so there are no values of x for which m(x) exceed h(x).

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