Answer:
8 - 2x <4 gives us x>2
|x-8| >22 gives us (-inf, -14) and (30,inf)
|x+5| < 4 gives us (-9,-1)
Step-by-step explanation:
Inequalities differs from equalities in that they return a range of values for x and not a single value (case of equalities)
The first one
8 - 2x <4 if you subtract every side 8, you will get -2x<-4
Next divide every side with -2, since its a negative number you have to change the orientation of the inequaiity, thus we have x>4/2, x>2
The second
|x-8| >22, it has to be treated as this. -22>x-2>22 which can be treated as two single inequalities, -22>x-8, and the other, x-8>22. The fist gives you x<-14, and the other x>30, two non intercepting ranges, so your range will be (-inf, -14) and (30, inf)
The third
|x+5| < 4 if you apply the same steps from above, you will have the following -4<x+5<4 This results in two intercepting ranges, giving you the range (-9,-1)
Answer:
10.5 Degree.
Step-by-step explanation:
The inclined length of the ramp is 16' i.e. 16 feet i.e. (16 × 12) = 192 inches.
And the rise of the ramp is 35" i.e. 35 inches.
We have to calculate the degree of slope from the above information.
If we consider the ramp as the hypotenuse of a right triangle, then the perpendicular height is 35 inches.
Then angle of slope is given by

⇒
degree. (Answer)
Answer: your answer is negative $88.31
Step-by-step explanation:
$15,440 minus $42,50 minus $51,50 minus $9,75= negative $88.31
Answer:
Step-by-step explanation:
21/3 = 16/6
126 ≠ 48
does not form a proportion
Total - book $ - magazine $
Which is equal to:
Total + (-book $) + (-magazine $)
$35 + (-$7) + (-$5)
ANSWER: (C) $35 + (-$7) + (-$5)
Hope this helps! :)