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.
The events are independent because they are not affected by the other coin toss. Hope this helps^-^
Answer:
78 x 10² or 7.8 x 10³
Step-by-step explanation:
you have to get the exponents the same before you can subtract the coefficients
8 x 10³ = 80 x 10²
80 x 10² - 1.7 x 10² = 78 x 10² or 7.8 x 10³
Answer:
A x+6
Step-by-step explanation:
12+6=18
13+6=19
14+6=20
15+6=21
Answer:
-5/4
Step-by-step explanation:
Given :
x : 45, 49, 53, 57
y : 10, 5, 0, - 5
The slope of the line :
Slope = Rise / Run
y2 = - 5, y1 = 10
x2 = 57, x1 = 45
Rise = y2 - y1 = - 5 - 10 = - 15
Run = x2 - x1 = 57 - 45 = 12
The slope = Rise / Run = - 15 / 12 = - 5/4
