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the difference of twice a number and 8 is greater than or equal to 27

2x-8 ≥ 27

Step-by-step explation

2x-8 ≥  35

2x  ≥  35

x  ≥  17.5 (17 1/5)

So x should be 17.5  or more in order the when you multiply 35 by 2 and then subtract 8 the result will be 27 or more

Example    x= 17( will not match the inequality because x should be 17.5 or greater)

17*2 = 34

34-8=26   (this is less than 27)

x=18

18*2=36

36-8=28 (28 is greater than 27,so it matches the inequality)

so x could be from 17.5 to intinite

On the number line you mark the number 17.5 filling the dot and you draw an arrow to the right

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0