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photoshop1234 [79]
3 years ago
7

Evaluate:

align="absmiddle" class="latex-formula">
Mathematics
1 answer:
GenaCL600 [577]3 years ago
6 0

Answer:

1/3 is the simplified form for given expression.

Step-by-step explanation:

Given that:

=\sqrt[-3]{27}

By simplifying:

Radical sign will be removed as follows:

= 27^{-1/3}

For removing the "-" sign from power, base will be inverted:

= (1/27) ^ {1/3}

27 can also be written as 3 * 3 * 3 = 3^3

So,

= (1/3^3)^{1/3}

= 1^{1/3} / 3^{3* 1/3}

By simplifying we get:

= 1/3

i hope it will help you!

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The graph 4x^2-4x-1 is shown. Use the grpah to find the estimates for the solutions of 4x^2-4x-1=0 and 4x^2 - 4x-1=2
Darina [25.2K]

Answer:

a) The estimates for the solutions of 4\cdot x^{2}-4\cdot x -1 = 0 are x_{1}\approx -0.25 and x_{2} \approx 1.25.

b) The estimates for the solutions of 4\cdot x^{2}-4\cdot x -1 = 2 are x_{1}\approx -0.5 and x_{2} \approx 1.5

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial y = 4\cdot x^{2}-4\cdot x -1, where x is related to the horizontal axis of the Cartesian plane, whereas y is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:

a) 4\cdot x^{2}-4\cdot x -1 = 0

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

x_{1}\approx -0.25, x_{2} \approx 1.25

b) 4\cdot x^{2}-4\cdot x -1 = 2

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

x_{1}\approx -0.5, x_{2} \approx 1.5

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You used p minutes one month on your cell phone. The next month you used 75 fewer minutes. Simplify the expression.
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Let's assume that one month is represented by the variable 'm', the amount of minutes you started with is 's', and minutes you spent is 'p'.

So, one month can be represented as 'm=s-p'.

The next month is a bit more tricky. This will incorporate 75 less minutes into the equation. 'm=s-75' can be used to represent this, as we assume that you didn't use any minutes in the first month, and that p=75 in this case.

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Answer:

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Step-by-step explanation:

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