Solve the following equations for x (3x-6)=18
2 answers:
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Answer:
Step-by-step explanation:
<h3>Sphere:</h3>1) a) r = 7 cm
= 4*3.14 * 7 * 7
= 615.44 cm²
b) r= 8.4 cm
Surface area = 4*3.14*8.4*8.4
= 887.04 cm²
<h3>Hemisphere:</h3>a) r = 6 cm
= 3 * 3.14 * 6 * 6
= 339.12 cm²
<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.