1.Simplify.
-2{x}^{2}-4x+13+12{x}^{2}+2x-25−2x2−4x+13+12x2+2x−25
2.Collect like terms.
(-2{x}^{2}+12{x}^{2})+(-4x+2x)+(13-25)(−2x2+12x2)+(−4x+2x)+(13−25)
3.Simplify.
10{x}^{2}-2x-1210x2−2x−12
The correct answer to where the point(1, StartRoot 7 EndRoot) lies on the circle is A. Yes, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units
<h3>What is a Coordinate Plane?</h3>
This refers to the tool that is used to graph points on a two-dimensional plane that intersects two number lines.
Hence, given the information in the given diagram, there is a coordinate plane that shows a circle at the center that has certain values on the y and x-axis.
We can state that the point (1, StartRoot 7 EndRoot) lies on the circle shown because the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units.
Read more about coordinate planes here:
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We divide 72/96 which the answer is 0.75 or 75%
The probability that exactly 2 voters will be in favor of the ballot initiative is 0.309.
<h2>Given</h2>
Number of voters who support ballot initiative = 30 % = 0.30
Number of voters who does not support this initiative = 1 - 0.30 = 0.70
Number of voters selected for Surveying = 5
<h3>What is probability?</h3>
The probability of success and failure remain the same throughout the trials.
The probability that exactly 2 voters will be in favor of the ballot initiative is given by;
If P denotes Success and Q denotes failure;

Hence, the probability that exactly 2 voters will be in favor of the ballot initiative is 0.309.
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Answer: 72 grams of tea
Step-by-step explanation:
From the question, we are informed that Yvette uses 6grams of tea leaves to make 24 fluid ounces of tea. This means that for 1 gram of tea leaves, she'll use:
= 24/6
= 4 fluid ounces of tea
Since, 1 gram of tea leaves will be used to make 4 fluid ounces of tea, therefore, the number of grams of tea leaves that will be used to make 288 fluid ounces of tea will be:
= 288/4
= 72 grams of tea