If B is the midpoint of AC, then |AB| = |AC|.
|AB| = 3x + 2
|BC| = 5x - 10
Therefore we have the equation:
3x + 2 = 5x - 10 |subtract 2 from both sides
3x = 5x - 12 |subtract 5x from both sides
-2x = -12 |divide both sides by (-2)
x = 6
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Solution:
we are given that
Don walked 3 3/5 miles on Friday
It can be re-written as
miles
3 5/8 miles on sunday.
It can be re-written as
miles
an d He walk 3.7 miles on satarday.
The distances from least to greatest is 3.6, 3.625, 3.7
or
The distances from least to greatest is
miles,
miles, 3.7 miles.
Answer:
The number of games must a store sell in order to be eligible for a reward is 135.
Step-by-step explanation:
Let the random variable <em>X</em> represent the number of video games sold in a month by the sores.
The random variable <em>X</em> has a mean of, <em>μ</em> = 132 and a standard deviation of, <em>σ</em> = 9.
It is provided that the company is looking to reward stores that are selling in the top 7%.
That is,
.
The <em>z</em>-score related to this probability is, <em>z</em> = 1.48.
Compute the number of games must a store sell in order to be eligible for a reward as follows:



Thus, the number of games must a store sell in order to be eligible for a reward is 135.
Answer:
g(x) = 3x^2 + 3.
Step-by-step explanation:
f(x) = 3x^2 - 5.
First, the x-intercepts have to be calculated to determine the line of symmetry of f(x). For that, set f(x) = 0. Therefore:
3x^2 - 5 = 0.
x^2 = 5/3
x = 1.29 and x = -1.29. The midpoint of these two x-coordinates will be the line of symmetry, which is x = 0.
Therefore, if the graph is translated vertically upwards, it will move up the y-axis by the given amount. In this question, the amount is 8. Simply add 8 in f(x) to obtain g(x). Therefore:
g(x) = f(x) + 8.
g(x) = 3x^2 - 5 + 8.
g(x) = 3x^2 + 3.
Therefore, g(x) = 3x^2 + 3!!!