9x10^-4
this is the correct answer.
Answer: 8 and 9 or -9 and -8
Step-by-step explanation:
Let 
be the first of the two integers. Then, since the numbers are consecutive, 
is the other integer. We then know that the sum of the squares of 
and is equal to 145. So, now we have the equation
which can be expanded and simplified to
which then gives us the quadratic equation
This can then be factored into
Which can be simplified further into
So either 
or 
. This gives us two solutions: 8 and 9 or -9 and -8.
Hope this helps! CHEERS!
Answer:
1. 3 examples are: (-3.6,-22), (2.8,10),(4.6,19)
2. (-5,-29) does fall on the line so it is a solution.
Step-by-step explanation: I'm just now learning this, so im sorry if it's wrong:(, i tried!!
Answer:
f(x) approaches positive infinity.
g(x) approaches negative infinity.
the y-intercept of f(x) is less than the y-intercept of g(x).
Step-by-step explanation:
the highest power of x in f(x) is 3, and it has a positive sign. so, the bigger x the more the x³ part will dominate.
therefore, with x going to positive infinity, also f(x) goes to positive infinity.
the graph of g(x) clearly dives down never to come back up or flatten out. so, with x going to positive infinity, g(x) goes to negative infinity.
the y-intercept of f(x) = f(0).
that means the functional value when x=0.
so, for x=0 this means
y = 2×0³ - 3×0² + 5×0 + 7 = 7
the graph of g(x) shows that g(0) is 8.
so f(0) is less than g(0).
Answer: C- Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.
<u><em>Note: I'm not sure this is correct o_O
</em></u>
I used a graphing calculator and calculated the t-interval of the jellybean sample using a 99% confidence level:
<em>tInterval 9.68,1.23,125,0.99</em>
It resulted in 9.68 ± 0.287805.
Therefore, we're 99% confident that the weight number of jellybeans would lie between 9.3922 oz and 9.9678 oz.
A weight of 9.45 oz lies within this range, therefore, it is possible that the candy company's claim is true.
