9514 1404 393
Answer:
3 < x < 6
Step-by-step explanation:
Use the perimeter formula to write an expression for the perimeter. Then put that in an inequality with the given limits. Solve for x.
P = 2(L +W)
P = 2((4x) +(2x +1)) = 2(6x +1) = 12x +2 . . . . . fill in the given values; simplify
The perimeter wants to be between 38 and 74 cm, so we have ...
38 < 12x +2 < 74
36 < 12x < 72 . . . . . subtract 2
3 < x < 6 . . . . . . . . . divide by 6
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<em>Additional comment</em>
Solving a compound inequality is very much like solving a single inequality. You need to "undo" what is done to the variable. The rules of equality (ordering) still apply. If you were to multiply or divide by a negative number, the direction (sense) of the inequality symbols would reverse in the same way they do for a single inequality.
Here, our first step was to subtract 2 from all parts of the inequality:
38 -2 < 12x +2 -2 < 74 -2 ⇒ 36 < 12x < 72
The division by 12 worked the same way: all parts are divided by 12.
36/12 < (12x)/12 < 72/12 ⇒ 3 < x < 6
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If it makes you more comfortable, you can treat the perimeter limits as two separate inequalities: 38 < 12x+2 and 12x+2 < 74. Both restrictions apply, so the solution set is the intersection of the solution sets of these separate inequalities.
Answer:
The provided statement is True.
Step-by-step explanation:
Holding a variable constant implies that there are no kind of relationship between the variables and the treatments.
Holding a participant variable constant has the double advantage:
(1) preventing the variable from becoming a confounding variable
(2) reducing variance within groups.
A confounding variable effects both the dependent and the independent variable remarking a relationship between the two.
Variation within group implies the difference caused by the individual values of each group.
Thus, the provided statement is True.
Answer:
True
Step-by-step explanation:
√784/√4 = 28/2 = 14
No, 11/5 simplified is 2 1/5 so it is in between 2 and 3
