Answer:
B.
The solution of |2x + 8| > 6 includes all values that are less than –7 or greater than –1.
The solution of |2x + 8| < 6 includes all values that are greater than –7 and less than –1.
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Step-by-step explanation:
You can find the solution by "unfolding" the absolute value, then dividing by 2 and subtracting 4:
-6 > 2x +8 > 6 . . . . . read this as -6 is less than 2x+8 or 2x+8 is greater than 6
-3 > x +4 > 3 . . . . . . .divide by 2
-7 > x > -1 . . . . . . . . . solution to the first inequality: x is less than -7 or greater than -1.
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The solution to the other inequality is identical, except the direction of the comparison is reversed. It is read differently, because the segments overlap, rather than being disjoint.
-7 < x < -1 . . . . . . . . solution to the second inequality: x is greater than -7 and less than -1.
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These descriptions match choice B.
Answer:
60
Step-by-step explanation:
when you multiply 100 by .6 it equals 60
Answer:

Step-by-step explanation:
The circumference of a circle can be found using the following formula:

where d is the diameter. We know the diameter of the circle is 22 centimeters. Substitute the value in for d.


We also know we are using 3.14 for pi. Substitute it in for pi.

Multiply.

The circumference of the circle is 69.08 centimeters.
F(x) = 2x + 5
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Find f(x + 1) :
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f(x +1) = 2(x + 1) + 5
f(x +1) = 2x + 2 + 5
f(x + 1) = 2x + 5
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Find -2f(x+1):
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-2(fx+1) = -2(2x + 5)
-2(fx+1) = -4x - 10
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Answer: -2(fx+1) = -4x - 10
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Answer: Option 'A' is correct.
Step-by-step explanation:
In the binomial probability formula, we have

Here, n = number of events
x = number of trials
p = probability of success
q = probability of failure
x is the number of trials among which we decide the number of successes and number of failures.
So, Option 'A' is correct.