Simplify
rac{3}{8} } " alt=" \sqrt{ \frac{3}{8} } " align="absmiddle" class="latex-formula">
1 answer:
Answer:
B (√6)/4
Step-by-step explanation:
The smallest multiplier that will make the denominator of the fraction into a perfect square is 2, so you have ...
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Answer choice D is also a correct rationalization of the denominator, but is not simplified as far as it can be. √24 = 2√6, so a factor of 2 can be cancelled from numerator and denominator, giving answer choice B.
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To be honest, I'm not sure which four steps your teacher is referring to. However, I'll show you one way to graph this.
A graph is simply a collection of points. Often those points are connected in some way (though they don't necessarily have to be) to form a curve.
Each point is of the form (x,y). To get each point, we pick random x values and determine their paired y value counterpart.
For example, if we pick x = -3, then,
y= -x^2 -4x -3
y= -(-3)^2 -4(-3) -3
y = -9 - 4(-3) - 3
y = -9 + 12 - 3
y = 0
This indicates that (-3, 0) is one point on the curve.
Let's repeat for x = -2
y= -x^2 -4x -3
y= -(-2)^2 -4(-2) -3
y = -4 - 4(-2) - 3
y = -4 + 8 - 3
y = 1
So (-2, 1) is another point on the curve.
Repeat this process as many times as you want. You should do at least 3 or 4 points in my opinion. The more points you generate, the more accurate the curve. After generating the points, you'll plot them all on the same xy grid. Then finally draw a curve through all of the points as shown below.
I used GeoGebra to make the graph.
Answer: (C) 16
Step-by-step explanation:
Given : Number of sizes of self-stick notepads= 2
Number of colors = 4
Type 1 : The store packs the notepads in packages that contain 3 notepads of the same size.
i.e. By Fundamental principle of counting , we have
Number of different packages possible = Number of colors x No. of sizes
=
Type 2: Notepads of the same size and of 3 different colors.
Choices for 3 different colors out of 4 :
Again by fundamental principle :
Number of different packages possible = No. of choices for choosing 3 different colors x No. of sizes
=
From Type 1 and Type 2 , the total number of different packages of the types described above are possible =8+8= 16
Hence, the correct answer is option (c) 16.