Answer:
y=3
x=3
Step-by-step explanation:
2x +3y=15
2x-2y=-12
y=3
x=3
Answer:
This term would not change at all when combining like terms.
Step-by-step explanation:
Because the first term has a variable and the second does not, they can not be combined. Therefore, there is not change to this assignment
Answer:
1%
Step-by-step explanation:
\text{\color{blue}{100\%} represents the \color{blue}{starting balance}: \color{blue}{\$50}.}
100% represents the starting balance: $50.
Method 1
Express the ending balance as a percentage of the starting balance:
\frac{\color{darkviolet}{\$50.50}}{\color{blue}{\$50}}=
$50
$50.50
=
\,\,1.01
1.01
1.01\times100=
1.01×100=
\,\,\color{darkviolet}{101\%}
101%
\text{Subtract the starting \color{blue}{100\%} to get the \color{green}{percent interest}:}
Subtract the starting 100% to get the percent interest:
\color{darkviolet}{101\%}-\color{blue}{100\%}=
101%−100%=
\,\,\boxed{\color{green}{1\%}}
1%
Answer:
- d, series and sequence diverge
- d, geometric/divergent
- c, e (geometric, |r|<1)
Step-by-step explanation:
<h3>1.</h3>
The sequence terms have a common difference of -5/8. That make it a non-trivial arithmetic sequence, so it diverges.
The series is the sum of terms of the sequence. Any non-trivial arithmetic series diverges.
(A "trivial" arithmetic series has a first term of 0 and a common difference of 0. It is the only kind of <em>arithmetic</em> series that doesn't diverge.)
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<h3>2.</h3>
The terms of the series have a common ratio of -2. That makes it a geometric series. The ratio magnitude is greater than 1, so the series diverges.
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<h3>3.</h3>
A sequence will converge only if the terms have a common difference of 0 or a common ratio with a magnitude less than 1. Of the offered choices, only C and E will converge:
c. geometric, r = 3/5
e. geometric, r = -1/6
_____
<em>Additional comment</em>
The convergence criteria stated for problem 3 applies only to arithmetic and geometric sequences. There are many other kinds of sequences that converge, but these are the kinds being considered in this problem set.
D.) I and II Only.
1 degree increase in Celsius changes 9/5 or 1.8 degree change in fahrenheit and inverse is also true.... 1 degree increase in Fahrenheit 'cause 5/9 or 0.55 in Celsius
Hope this helps!
