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AveGali [126]
3 years ago
9

In a bank account a paid out expense is called a debit and a deposit is called a credit. Would you use positive or negative inte

gers to represent credits? Debits? Explain.
Mathematics
1 answer:
Allisa [31]3 years ago
5 0

Answer:

positive integer

Step-by-step explanation:

In a bank account,

A paid out expense is called as debit

A deposit is called as credit

To find: sign used to represent credits

Solution:

Integers denote a set of natural numbers, their negative counterpart, and 0.

As credit denotes the amount deposited, the positive integer is used to denote credits.

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Determine the values of the constants b and c so that the function given below is differentiable. f(x)={2xbx2+cxx≤1x>1
Lera25 [3.4K]
Assuming the function is

f(x)=\begin{cases}2x&\text{for }x\le1\\bx^2+cx&\text{for }x>1\end{cases}

For f(x) to be differentiable, it necessarily has to be continuous. For this condition to be met, we need

\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^+}f(x)=f(1)
\iff\displaystyle\lim_{x\to1}2x=\lim_{x\to1}(bx^2+cx)
\iff2=b+c

For the derivative to exist, the one-sided limits of the derivative must also exist and be equal. We have

f'(x)=\begin{cases}2&\text{for }x1\end{cases}

\displaystyle\lim_{x\to1^-}2=\lim_{x\to1^+}(2bx+c)
\iff2=2b+c

Now we solve for b and c:

\begin{cases}b+c=2\\2b+c=2\end{cases}\implies b=0,c=2
5 0
3 years ago
Hello, I need help with this math problem please
Marina86 [1]

Answer:

4c^2+7c-5=0

4c^2+7c=5

4c^2+7c=5

4c^2+7c-5=0\quad :\quad c=\frac{-7+\sqrt{129}}{8},\:c=\frac{-7-\sqrt{129}}{8}\quad \left(\mathrm{Decimal}:\quad c=0.54472\dots ,\:c=-2.29472\dots \right)

Hope This Helps!!!

4 0
2 years ago
Read 2 more answers
Is this a linear function , why or why not ? explain <br> y=x^2-1
kotykmax [81]
If you graph out y = x^2 - 1, you'll see that it is a curved parabola. It is not a straight line. So visually this shows the equation is not linear. It's considered nonlinear.

Algebraically, the given equation does not fit the form y = mx+b which is slope intercept form. So this is more confirmation that we do not have a linear function.
8 0
3 years ago
Can someone help me????
SpyIntel [72]
Lemme think bout it....no
5 0
3 years ago
Im not so sure about this. I need help making a proof that is 9 steps long. (See image)
Leona [35]

Step-by-step explanation:

Not entirely sure, but I believe something like this:

∠1 + ∠2 = 180° since they are a linear pair;

Since ∠1  = ∠2, we can say:

∠1 + ∠1 = 180°

2(∠1) = 180°

∠1 = 90°

And since:

∠1 = ∠2

∠2 = 90°

So the angle between t and s is 90°;

An angle of 90° means t and s are perpendicular (⊥)

8 0
2 years ago
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