Answer:
329.5
Step-by-step explanation:
From the table we see that the common difference d = 0.5 - (-6.5)
= 7, and 7.5 - 0.5 = 7. Also 14.5 - 7.5 = 7.
The first term a1 = -6.5.
The nth term = a1 + (n - 1)d so for our sequence we have:
49th term = -6.5 + (49 - 1)7
= -6.5 + 48 * 7
= -6.5 + 336
= 329.5 (answer).
Hey there!
Basically, the words/phrase “like terms” simply means terms that have identical variable(s) or identical exponent(s)
Now, that we have the definition of like terms we can answer your question
• -7 like term would be “2”
• 2x^3 like term would be “5x^3”
• 5x like term would be “-7x”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
(Examples of “Like Terms” is/are in the picture down below)
Answer:
B = 2
Step-by-step explanation:
|b + 4| = 6
b + 4 = 6
b = 6 - 4
b = 2
Answer:
1/4 pair per hour
Step-by-step explanation:
1/6 pair of jeans 1 pair 3 1/4 pair
------------------------ = ------------ * -------- = --------------
2/3 hour 6 2 hr
Harriet can sew 1/4 pair of jeans per hour.
If the sequence is quadratic, then the <em>n</em>-th term (<em>n</em> ≥ 1) is
We're given the first four terms,
Using the formula for the <em>n</em>-th term, this turns into a system of equations,
Solve the system:
• Eliminate <em>c</em> :
(4<em>a</em> + 2<em>b</em> + <em>c</em>) - (<em>a</em> + <em>b</em> + <em>c</em>) = 1 - (-4) ===> 3<em>a</em> + <em>b</em> = 5
(9<em>a</em> + 3<em>b</em> + <em>c</em>) - (<em>a</em> + <em>b</em> + <em>c</em>) = 12 - (-4) ===> 8<em>a</em> + 2<em>b</em> = 16
• Multiply the second equation by 1/2 to get 4<em>a</em> + <em>b</em> = 8, then eliminate <em>b</em> and solve for <em>a</em> :
(4<em>a</em> + <em>b</em>) - (3<em>a</em> + <em>b</em>) = 8 - 5 ===> <em>a</em> = 3
• Solve for <em>b</em> and <em>c</em> :
3<em>a</em> + <em>b</em> = 9 + <em>b</em> = 5 ===> <em>b</em> = -4
<em>a</em> + <em>b</em> + <em>c</em> = 3 - 4 + <em>c</em> = -4 ===> <em>c</em> = -3
Then the rule for the <em>n</em>-th term is