Answer:
the necklace costs $144 while the bracelet costs $48.
Step-by-step explanation:
Answer:
16.8 inches
Step-by-step explanation:
Perimeter =2(length+width) so 2·(5.6+2.8)≈16.8
Answer:
the answer is -16 x ^3 + 116 x ^2 -96 x -144
<span>binomial </span>is an algebraic expression containing 2 terms. For example, (x + y) is a binomial.
We sometimes need to expand binomials as follows:
(a + b)0 = 1
(a + b)1 = a + b
(a + b)2 = a2 + 2ab + b2
(a + b)3 = a3 + 3a2b + 3ab2 + b3
<span>(a + b)4</span> <span>= a4 + 4a3b</span><span> + 6a2b2 + 4ab3 + b4</span>
<span>(a + b)5</span> <span>= a5 + 5a4b</span> <span>+ 10a3b2</span><span> + 10a2b3 + 5ab4 + b5</span>
Clearly, doing this by direct multiplication gets quite tedious and can be rather difficult for larger powers or more complicated expressions.
Pascal's Triangle
We note that the coefficients (the numbers in front of each term) follow a pattern. [This was noticed long before Pascal, by the Chinese.]
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
You can use this pattern to form the coefficients, rather than multiply everything out as we did above.
The Binomial Theorem
We use the binomial theorem to help us expand binomials to any given power without direct multiplication. As we have seen, multiplication can be time-consuming or even not possible in some cases.
<span>Properties of the Binomial Expansion <span>(a + b)n</span></span><span><span>There are <span>\displaystyle{n}+{1}<span>n+1</span></span> terms.</span><span>The first term is <span>an</span> and the final term is <span>bn</span>.</span></span><span>Progressing from the first term to the last, the exponent of a decreases by <span>\displaystyle{1}1</span> from term to term while the exponent of b increases by <span>\displaystyle{1}1</span>. In addition, the sum of the exponents of a and b in each term is n.</span><span>If the coefficient of each term is multiplied by the exponent of a in that term, and the product is divided by the number of that term, we obtain the coefficient of the next term.</span>
Answer:
(D) I think
Step-by-step explanation:
Lets look at our answer choices; A.
The intervals are not comparable. The shorter bar spans more than 10 years. When it comes to a horizontal axis it doesn't matter how far it expands,just if it's expanded correctly.
B.The intervals are appropriately labeled. There not it goes from 25 to 50 in just in instant few climbs up.
C.The intervals are not comparable, but the data on the graph is not misleading. It is misleading the graphs are incorrectly labeled.
Which brings us to our answer D.The vertical axis does not have an appropriate scale. it goes from 0-25 25-50 and 50-75 then 75-100. that's a short distance for such numbers that are pretty far apart.
I hope I'm right and I hope this helps:)!
