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Gwar [14]
2 years ago
11

Rewrite as a square of a monomial: 0.36x^6

Mathematics
1 answer:
Vaselesa [24]2 years ago
6 0

Answer:

<h2>(0.6x³)²</h2>

Step-by-step explanation:

Given the indicinal expression 0.36x^6, to express as a square of a monomial means expressing the expressing as the square of a single function as shown.

0.36x^{6} \\= (0.6*0.6)*(x^{3})^{2}\\= 0.6^{2}*(x^{3})^{2}\\

According to one of the law of indices, a^{n} * b^{n} = (ab)^{n}. Applying this to the resulting equation will give;

(0.6*x^{3} )^{2}

= (0.6x^{3})^{2}

This gives the required equation.

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The expression 2x + 50 represents the elevation above sea level, in meters, of a rock climber after x minutes of climbing. What
vova2212 [387]
We let y equal to the elevation above sea level so that the elevation of the rock climber after x minutes of climbing would be:

y = 2x + 50

His initial height can be calculated when x is equal to zero it is when the climber is not yet climbing. Therefore, the rock climber'sinitial height above sea level would be 50 meters.
7 0
3 years ago
Determine the values of the constants b and c so that the function given below is differentiable. f(x)={2xbx2+cxx≤1x&gt;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)
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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)
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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
Ruben is buying bricks for a project. He knows that 5 bricks weigh 26 pounds. He wants
Nostrana [21]

Answer:

The weight of 24 bricks is 124.8  theoretical probability pounds

Step-by-step explanation:

26/5=5.2

24x5.2=124.8

3 0
3 years ago
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4. Given that 2x = 0.125, find the value of x​
Bingel [31]

Answer:

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Step-by-step explanation:

Because 2x = 0.125, we'll divide 0.125 by 2 to het the answer. (0,125 ÷ 2 = 0.0625)

8 0
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Write the number 4.2 x 10^2 in standard form.
Sav [38]

Answer:

420 (lol)

Step-by-step explanation:

6 0
3 years ago
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