We know that this is a geometric sequence. Keep in mind that in a geometric sequence, the next term is found by shamelessly multiplying it by "some number", namely the "common ratio".
therefore, if you divide any "next term" by the "previous term", the quotient will just be that "some number", thus, if 1.5 ÷ 7.5 will give it to us, and is, yeap, you guessed it, is 2.
you can check say 3 ÷ 1.5 or 6 ÷ 3, you'll see it.
so, we know the common ratio is 2, and the first term is 0.75, so
Looking at the graph of the functions, the opposite of the integer represented by point A is 1/10.
My friend's error is that he fail to recognize that the value of Point A is different from Point b on the graph.
<h3>What is opposite integers?</h3>
This is known to be the a term that connote a pair of opposite integers which have the negative and positive aspect of a number altogether.
Note that , 4 and -4 are a pair of opposite integers. So,, we can call them opposites due to the fact that they are on the opposite sides of the number line
From the graph attached, you can see that they are not pair because the values of Point B is more than that of Point A because Point A is at one step from 5 while point B is at 2 steps from 5.
Therefore, Looking at the graph of the functions, the opposite of the integer represented by point A is 1/10. My friend's error is that he fail to recognize that the value of Point A is different from Point b on the graph.
Learn more about opposite integers from
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Answer:
![\bold{x=-4\pm\sqrt{46}}](https://tex.z-dn.net/?f=%5Cbold%7Bx%3D-4%5Cpm%5Csqrt%7B46%7D%7D)
Step-by-step explanation:
![(a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}](https://tex.z-dn.net/?f=%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5C%5C%5C%5C%5C%5Cx%5E2%2B8x-30%3D0%5C%5C%5C%5C%5Cunderbrace%7Bx%5E2%2B2%5Ccdot%20x%5Ccdot%204%2B4%5E2%7D-4%5E2-30%3D0%5C%5C%5C%5C%7B%7D%5Cqquad%28x%2B4%29%5E2%5C%2C-%5C%2C16-30%3D0%5C%5C%5C%5C%7B%7D%5Cqquad%5C%20%5C%20%28x%2B4%29%5E2%3D46%5C%5C%5C%5C%20%7B%7D%5Cqquad%5C%20%5C%20x%2B4%3D%5Cpm%5Csqrt%7B46%7D%5C%5C%5C%5C%20%7B%7D%5Cqquad%5C%20%5C%20x%3D-4%5Cpm%5Csqrt%7B46%7D)
Let's check each option
Option A
The percentage of people choosing winter as their favorite season is
![\frac{0.2}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.2%7D%7B1%7D%20)
which equals to
![\frac{20}{100}=20](https://tex.z-dn.net/?f=%20%5Cfrac%7B20%7D%7B100%7D%3D20)
%
The percentage of the other seasons are
Autumn = 24%
Spring = 16%
Summer = 40%
Option A is incorrect
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Option B
Out of the summer season, there are 24% female and 16% male
Option B is correct
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Option C
As explained for option A, the percentage of people who choose Autumn is 24% which isn't the smallest percentage.
Option C is incorrect
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Option D
There's 14% males and 10% female who choose Autumn as their favorite season.
Option D is incorrect since there's more male than the female who choose Autumn.
Answer: Option B