Mathematics: PLEASE ANSWER ALL PARTS ASAP! The equation of function h is h(x) = 1/2(x-2)^2. The table shows some of the values of function m. (see attached image for the rest of the assignment)

Soryr but no where on ther except for the end has something about variables. maybe show a picture with it...

PLEASE ANSWER ALL PARTS ASAP! The equation of - id5416760, PersonPerson13260

Ответ:

DaisyHargrove23

20.01.2022

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).

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PLEASE ANSWER ALL PARTS ASAP! The equation of function h is h(x) = 1/2(x-2)^2. The table shows some of the values of function m. (see attached image for the rest of the assignment)

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