Parentheses can be eliminated using the distributive property
-6x +6(3x -4xy) = -6x +18x -24xy
Like terms (those with the variable x only) can be combined
x(-6+18) -24xy = 12x -24xy . . . . . simplified
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In some cases, you may be interested in factoring the expression. 12x is a common factor for the two terms, so another way to write this expression is
... 12x(1 -2y)
Answer:
-3 times
Step-by-step explanation:
slope is -6 so -6/2=-3
The scale before you simplify would be 4 inches=380 miles
You then convert it into a fraction 4/380 and simplify
4/380=1/95
It would not be A, B, C, or D, the person who had created the test has made a mistake
Answer:
The number of ways of selecting a combination of 8 marbles from a bag containing 20 marbles is 125970
Step-by-step explanation:
The number of selecting 8 marbles from a bag of 20 marbles
A combination gives the number of possible order or arrangement in a collection of k items selected from a set of n items
![C_{n,k} = \dbinom{n}{k}= \dfrac{n!}{k!\cdot \left ( n - k \right )!}](https://tex.z-dn.net/?f=C_%7Bn%2Ck%7D%20%3D%20%5Cdbinom%7Bn%7D%7Bk%7D%3D%20%5Cdfrac%7Bn%21%7D%7Bk%21%5Ccdot%20%5Cleft%20%28%20n%20-%20k%20%5Cright%20%29%21%7D)
In the question, k = 8, and n = 20
Substituting the values of n and k in the above equation gives;
![C_{20,8} = \dbinom{20}{8}= \dfrac{20!}{8!\times\left ( 20 - 8 \right )!} = 125,970](https://tex.z-dn.net/?f=C_%7B20%2C8%7D%20%3D%20%5Cdbinom%7B20%7D%7B8%7D%3D%20%5Cdfrac%7B20%21%7D%7B8%21%5Ctimes%5Cleft%20%28%2020%20-%208%20%5Cright%20%29%21%7D%20%3D%20125%2C970)
Therefore, the number of ways of selecting 8 marbles from a bag containing 20 marbles is given by the combination C₂₀, ₈ = 125970.
Answer:
<h2>D. -15/8</h2>
Step-by-step explanation:
Given the following;
cosθ=8/17 and sinθ=−15/17
In trigonometry identity, tanθ = sinθ/cosθ
Substituting the given values in the equation;
tan θ = (−15/17)/(8/17)
tanθ = −15 /17 * 17/8
tanθ = -15/8