Answer:
Step-by-step explanation:
Given the sequence :
23, 19, 13, 5, -5.......
From the sequence, the common difference is unequal, as their is a constant Increment in the difference after successive numbers.
19 - 23 = -4
13 - 19 = -6
5 - 13 = -8
-5 - 5= -10
Hence an constant difference of - 2 after each successive difference.
Hence, this is a quadratic sequence
With the formula
an² + bn + c
The answer is: [D]: 2x + 22 .
______________________________________________
Answer:
20°
Step-by-step explanation:
One way of doing this is to find the constant of proportionality, k:
8k + 6k + 4k = 90° Then 18k = 90°, and k turns out to be 90/18, or 5.
Then the angles are 8(5), 6(5) and 4(5). The smallest of these angles is thus 20°
She would have done 512 jumping jacks on the 10th day.
<h3>
Answer:</h3>
x = 1
<h3>
Step-by-step explanation:</h3>
<em>The only solution is an extraneous solution</em>, which is to say the equation has no solution.
The rational expression reduces to -1 (for x≠1), which makes the equation ...
1 = 1/x
The only solution to this is x=1, which is specifically disallowed.
___
If you subtract the right side, the equation becomes ...
((-x+1)(x) +2(x)(x -1) -(x -1))/(x -1) = 0
(-x^2 +x +2x^2 -2x -x +1)/(x -1) = 0 . . . . eliminate parentheses in the numerator
(x^2 -2x +1)/(x -1) = 0 . . . . . . . . . . . . . . . collect terms
(x -1)^2/(x -1) = 0 . . . . . . . . . . . . . . . . . . . factor
This is undefined for the only value of x that could possibly be a solution, x=1.
