We are asked to determine the value of a such that the function f(x) = ax^2 + 5 is fit for the point given (-1,2). In this case, we substitute 2 to y and -1 to x. The result is then 2 = a*(-1)^2 + 5 ; 2 = a + 5; a is then equal to -3
An arithmetic sequence (a_n) is as follows:
![a_1\\a_2=a_1+d\\a_3= a_1+2d\\a_4=a_1+3d,...](https://tex.z-dn.net/?f=a_1%5C%5Ca_2%3Da_1%2Bd%5C%5Ca_3%3D%20a_1%2B2d%5C%5Ca_4%3Da_1%2B3d%2C...)
where
![a_1](https://tex.z-dn.net/?f=a_1)
is the first term and d is the constant difference,
thus, we see that the n'th term of an arithmetic sequence is
![a_n=a_1+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da_1%2B%28n-1%29d)
in our particular case d=5, the third term is 8, so we have:
![a_3=8=a_1+2\cdot5\\\\8=a_1+10\\\\a_1=-2](https://tex.z-dn.net/?f=a_3%3D8%3Da_1%2B2%5Ccdot5%5C%5C%5C%5C8%3Da_1%2B10%5C%5C%5C%5Ca_1%3D-2)
and the general term is
![a_n=-2+5(n-1)](https://tex.z-dn.net/?f=a_n%3D-2%2B5%28n-1%29)
,
Answer: first term is -2, n'th term is -2+5(n-1)
Answer:
A: square the binomial (x + 3), distribute the negative to the binomial (x2 + 9), simplify the dividend, and then divide
Step-by-step explanation:
I just took the test
Hey!
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Solution:
The ratio is FEMALES to MALES.
So its 18/16, 18:16, or 18 to 16.
~Now we need to simplify.
18:16 → 18/2:16/2 → 9:8
*Note* When you have a ratio you need to know which comes first. If you put males to females that incorrect. It has to be correct according to the question.
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Answer:
![\large\boxed{B)~9~to~8}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BB%29~9~to~8%7D)
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Hope This Helped! Good Luck!
Answer:
4
Step-by-step explanation:
64/16=4