We are told that the first term is 2. The next term is 7(2) = 14; the third term is 7(14) = 98. And so on. So, the first term and the common ratio (7) are known.
The nth term of this geometric series is a_n = 2(7)^(n-1).
Check: What is the first term? We expect it is 2. 2(7)^(1-1) = 2(1) = 2. Correct.
What is the third term? We expect it is 98. 2(7)^(3-1) = 2(7)^2 = 98. Right.<span />
Answer:
1) 160 (less than or equal to) 42+65+x OR 53
2) 2000 (greater than or equal to) 637+x OR $1363
3) 1st piece: 5ft
2nd piece: 10ft
3rd piece: 6ft
Step-by-step explanation:
1) You must reach at least 160 blankets. Some have already been added, so just add the total to "x"
2) Your brother already spent $637 of 2000 dollars.
Yes, because if you divide 4 and 3 by 2, you get 2 and 1.5
When you make the product of a binomial of the kind x + a times other binomial that is of the kind x - a, you obtain another binomial (not a trinomial), so any example with that form will be a counterexample that disproves the conjecture:
(x + a) * (x - a) = x^2 - a^2
For example, (x +3) * (x - 3) = x^2 - 9. So, not always the product of two binomials is a trinomial.
Answer:
<h3>Step 4</h3>
Step-by-step explanation:
Given the expression 7+(-2)
Let 7 be 7 positive tiles since it is a positive number
Let -2 be 2 negative tiles being a negative number
7+(-2) = 7 positive tiles <em>and</em> 2 negative tiles
note that + * - will give minus sigh (-), the expression will become:
7+(-2) = 7-2
7-2 = 5
Hence the expression gives 5 positive tiles not 2 positive tiles according to Jillian calculations in step 4.
Hence Jillian made an error in step 4
