Answer in fraction form: -17/4 < x < 11/4
Answer in decimal form: -4.25 < x < 2.75
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Work Shown:
|4x+3| - 9 < 5
|4x+3| < 5+9 .... adding 9 to both sides
|4x+3| < 14
-14 < 4x+3 < 14 .... see note at the bottom
-14-3 < 4x < 14-3 .... subtracting 3 from all sides
-17 < 4x < 11
-17/4 < x < 11/4 .... divide all sides by 4
-4.25 < x < 2.75
This says that x is between -4.25 and 2.75, but x is not equal to either endpoint.
Note: I used the rule that |x| < k becomes -k < x < k where k is a positive real number.
Answer:
7(9+n)=8
Step-by-step explanation:
I hope this is right :)))
Find an explicit formula for the arithmetic sequence -5,13,31,49,...−5,13,31,49,...minus, 5, comma, 13, comma, 31, comma, 49, co
dolphi86 [110]
Answer:
aₙ = a₁ + (n-1) * 18 a₁ = -5
Step-by-step explanation:
aₙ = a₁ + (n-1) * d a₁ = -5 d = 13 - (-5) = 18
a₂ = -5 + (2 - 1) * 18 = -5 + 18 = 13
a₃ = -5 + (3 - 1) * 18 = -5 + 36 = 31
a₄ = -5 + (4 - 1) * 18 = -5 + 54 = 49
<span>A
scale factor or the similarity ratio is the ratio of two similar geometric figures of their
corresponding sides, volumes or areas. The scale factor is calculated by locating the
corresponding sides on each figure, calculating the volumes and areas and dividing them.
similarity ratio = 2197 m^3 / 512 m^3 = 4.3</span>
