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.
__
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.
___
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.
__
These descriptions match choice B.
Answer:
No
Step-by-step explanation:
We can use the Pytaghorean theorem to verify it
4.4^2 + 5.5^2 = 6.6^2
19.36 + 30.25 = 43.56
49.61 = 43.56 (false)
X = 8/(-1/3) therefore the answer is -24
Answer:
Step-by-step explanation:
<h3>Given AP </h3>
<h3>To find</h3>
<h3>Solution</h3>
- a₁₂ = a + 11d = 62
- a₂₀ = a + 19d = 102
<u>Subtract the first equation from the second one:</u>
<u>Find a:</u>
- a + 11*5 = 62
- a = 62 - 55
- a = 7
<u>Find the sum of the first 20 terms:</u>
- S₂₀ = 1/2*20(a + a₂₀) = 10(7 + 102) = 10(109)= 1090
