Against a tax increase because either way the margin of error may fall, against will still have more votes
X=5 because you add 2 to 13 and divide by 3
<h3>
Answer: Choice D) 14/23 > 5/9</h3>
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Convert each fraction shown to decimal form
- 5/9 = 0.55555
- 7/16 = 0.43750
- 8/15 = 0.53333
- 6/11 = 0.54545
- 14/23 = 0.60870
With the exception of 7/16 = 0.43750, the other decimal values are approximate.
From that list, we can see the decimal representations of 7/16, 8/15, and 6/11 are all smaller than the decimal version of 5/9. So we rule out choices A, B, and C. The answer must be choice D.
Sure enough, 14/23 = 0.60870 is indeed larger than 5/9 = 0.55555
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We can show this another way:
First off, assume that 14/23 and 5/9 are equal. We'll cross multiply and show a contradiction happens
14/23 = 5/9
14*9 = 23*5
126 = 115
The contradiction happens since we should get the same value on both sides if the two sides were equal, but they're not equal.
If we replace each equal sign with a greater than sign, then we get,
14/23 > 5/9
14*9 > 23*5
126 > 115
You can think of it like working backwards up the chain.
Answer:
C. two real solutions
Step-by-step explanation:
Your quadratic matches the form ...
ax^2 +bx +c = 0
for the values a=2, b=7, c=-15.
The discriminant is ...
d = b^2 -4ac
For your values of a, b, c, the discriminant value is ...
d = 7^2 -4(2)(-15) = 169
The discriminant is positive, indicating there are two real solutions.
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When the discriminant is negative, there are no real solutions, only complex solutions.
When the discriminant is zero, there is one real solution.
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This equation factors as (2x-3)(x+5) = 0 and has solutions x=3/2, x=-5.
