Each answer choice below shows the entries in a row of Pascal’s triangle. Which lists the coefficients in the binomial expansion
of (a + b)8?
A)1, 7, 21, 35, 21, 7, 1
B)1, 7, 21, 35, 35, 21, 7, 1
C)1, 8, 28, 56, 70, 70, 56, 28, 8, 1
D)1, 8, 28, 56, 70, 56, 28, 8, 1
A)1, 7, 21, 35, 21, 7, 1
B)1, 7, 21, 35, 35, 21, 7, 1
C)1, 8, 28, 56, 70, 70, 56, 28, 8, 1
D)1, 8, 28, 56, 70, 56, 28, 8, 1
2 answers:
Answer:
D)1, 8, 28, 56, 70, 56, 28, 8, 1
Step-by-step explanation:
- The Pascal's triangle is shown in the attachment
- It is generated by repeating 1s at the extremes which are the coefficients of
and
in the binomial
.
- The remaining entries are obtained by adding the two entries directly above it.
- From the attachment, the coefficients of
are the entries in the last row of the triangular pattern.
- The correct choice is D.
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Answer:
<h2>The equation isStep-by-step explanation:
The equation of a hyperbola is represented by , where (h, k) is the center of the hyperbola.
As per the given condition, h = -2 and k = 4.
Thus, the equation becomes .
One vertex is (-2, 7).
Hence, putting x = -2 and y = 7, we get .
The slope of the asymptote is .
Hence, .
Thus, the equation is .
The stereo system costs $256.
Step-by-step explanation:
Given:
Cost of the stereo system = $320.
The discount Zenaida received = 20%.
To Find:
Cost of the stereo system after the discount=?
Solution:
Step1: Finding the discount amount:
Discount percentage =20
Discount amount = original cost × discount percent
Substituting the values,
Step 2: Removing the discounted amount from the original price
Final cost of the stereo system =original cost of the stereo system –discount amount
Substituting the values we get,
Final cost=320-64
Final cost=256
Result:
Thus the cost of the stereo system after discount is $256