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Pavel [41]
3 years ago
12

How many subsets of at least one element does a set of seven elements have?

Mathematics
1 answer:
Tomtit [17]3 years ago
3 0

\boxed{\large{\bold{\blue{ANSWER~:) }}}}

For each subset it can either contain or not contain an element. For each element, there are 2 possibilities. Multiplying these together we get 27 or 128 subsets. For generalisation the total number of subsets of a set containing n elements is 2 to the power n.

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I NEED HELP PLEASE, THANKS! :) Determine the zeros for and the end behavior of f(x) = x(x – 4)(x + 2)^4.
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Answer:  a) zeros: x = {0, 4, -2}

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<u>Step-by-step explanation:</u>

I think you mean (a) find the zeros and (b) describe the end behavior

(a) Find the zeros by setting each factor equal to zero and solving for x:

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  • x = 0   Multiplicity of 1  --> odd multiplicity so it crosses the x-axis
  • x = 4  Multiplicity of 1  --> odd multiplicity so it crosses the x-axis
  • x = -2 <u>Multiplicity of 4 </u> --> even multiplicity so it touches the x-axis

                       Degree  =  6

(b) End behavior is determined by the following two criteria:

  1. Sign of Leading Coefficient (Right side): Positive is ↑, Negative is ↓
  2. Degree (Left side): Even is same direction as right side, Odd is opposite direction of right side

Sign of the leading coefficient is Positive so right side goes UP

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Degree of 6 is Even so Left side is the same direction as right (UP)

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Nataly_w [17]

Answer:

a. complementary

b. neither

c. supplementary

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e. supplementary   x=21

Step-by-step explanation:

CODE: cnsss21

3 0
3 years ago
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