<h3>
Answer: Choice C</h3>
{x | x < -12 or x > -6}
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Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.
Answer:
12, 24, and 60.
Step-by-step explanation:
It says multiples. Not factors, so it can't be 1 or 2. Neither of the numbers can make the number 10. 4 can make 40, but 6 can't.
Answer:
The correct answer is option C , 4 + 9i
Step-by-step explanation:
A complex number is the one which has a real number and an imaginary number.
In all the example given , option C 4 + 9i has "i" which signifies the imaginary number which nothing but a negative square root.
Answer:
Let the unit of ratio be a.Then,the divided parts will be 3a,5a,4a and a.
A/q,
=>3a+5a+4a + a = 182.
=>13a = 182
=>a = 182/13
=>a = 14.
Hence,the smallest part = 14
Answer:
D. f(x) = 1.06x; $169.60
Step-by-step explanation:
x(1.06) = total after tax
160(1.06)= 169.6
