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: x = 5.625
Step-by-step explanation: The triangles are similar; the side lengths of the large triangle are proportional to the lengths of the small triangle. The corresponding parts are proportional.
Use proportion. The total length of side FV is 16.
6:16 = x:15 . or 6/16=x/15
cross multiply 15 × 6 = 90, then divide 90/16
90/16 = x
5.625 = x
Answer:
C
Step-by-step explanation:
Answer:
Abelito had the greater average speed
Step-by-step explanation:
Given
Bobby:


Abelito


Required:
Who had a greater average speed
Average speed (S) is calculated as:

We will make use of mph (miles per hour) as the unit of speed.
For Bobby:

Convert minute to hour


For Abelito

Convert minute to hour


By comparison: 12.5mph > 8mph
Hence: Abelito had the greater average speed