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gulaghasi [49]
3 years ago
8

Is 4√100 rational or irrational​

Mathematics
1 answer:
Deffense [45]3 years ago
3 0

Answer:

Rational

Step-by-step explanation: it equals 40, and 40 is rational

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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
4 years ago
Please help with HW. I will give brainliest.
sammy [17]

Answer:

for page 1, the answer is  y = x + 1

for page 2, the answer is linear

Step-by-step explanation:

Why is it y = x + 1?

It is y = x + 1 because if you look at the steps, all of them are reasonable for having a multiplication equation. Step 1 has a equation of 1 x 1, step 2 has an equation of 2 x 2, and  step 3 has an equation of 3 x 3. So the relationship would be adding +1 to every step and count up from 1 - 3.

--------------------------------------------------------------------------------------------------------------

Why is it linear?

It's linear cause the relationship between x and y is called a linear relationship because the points so plotted all lie on a single straight line.

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I = 6500(.04)(6)

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3 years ago
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Question 3 of 10
yarga [219]

Answer: 60000

Step-by-step explanation:

The ten thousands place is the 5th digit from the right. Because the digit in the thousands place is less than 5, round down to 60000.

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