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3 years ago

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What is 3a+-2(a+b) simplified??

1 answer:

kipiarov [429]3 years ago

3 0

=3a-2a-2b
=a-2b

Hope this helps

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Base: z(x)=cosx Period:180 Maximum:5 Minimum: -4 What are the transformation? Domain and Range? Graph?

garik1379 [7]

Answer:

The transformations needed to obtain the new function are horizontal scaling, vertical scaling and vertical translation. The resultant function is $z'(x) = \frac{1}{2} + \frac{9}{2} \cdot \cos \left(\frac{\pi\cdot x}{90^{\circ}} \right)$ .

The domain of the function is all real numbers and its range is between -4 and 5.

The graph is enclosed below as attachment.

Step-by-step explanation:

Let be $z (x) = \cos x$ the base formula, where $x$ is measured in sexagesimal degrees. This expression must be transformed by using the following data:

$T = 180^{\circ}$ (Period)

$z_{min} = -4$ (Minimum)

$z_{max} = 5$ (Maximum)

The cosine function is a periodic bounded function that lies between -1 and 1, that is, twice the unit amplitude, and periodicity of $2\pi$ radians. In addition, the following considerations must be taken into account for transformations:

1) $x$ must be replaced by $\frac{2\pi\cdot x}{180^{\circ}}$ . (Horizontal scaling)

2) The cosine function must be multiplied by a new amplitude (Vertical scaling), which is:

$\Delta z = \frac{z_{max}-z_{min}}{2}$

$\Delta z = \frac{5+4}{2}$

$\Delta z = \frac{9}{2}$

3) Midpoint value must be changed from zero to the midpoint between new minimum and maximum. (Vertical translation)

$z_{m} = \frac{z_{min}+z_{max}}{2}$

$z_{m} = \frac{1}{2}$

The new function is:

$z'(x) = z_{m} + \Delta z\cdot \cos \left(\frac{2\pi\cdot x}{T} \right)$

Given that $z_{m} = \frac{1}{2}$ , $\Delta z = \frac{9}{2}$ and $T = 180^{\circ}$ , the outcome is:

$z'(x) = \frac{1}{2} + \frac{9}{2} \cdot \cos \left(\frac{\pi\cdot x}{90^{\circ}} \right)$

The domain of the function is all real numbers and its range is between -4 and 5. The graph is enclosed below as attachment.

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3 years ago

I need help with geometry semester b on Edmentum anybody have answer keys ??

nikklg [1K]

Answer:

I do not have answer keys

Step-by-step explanation:

But i can be of greater help with your questions

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Answer:

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Step-by-step explanation:

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3 years ago

Selected value of each decimel number when it is rounded to the nearest whole number

PtichkaEL [24]

Answer:

5
6
6
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Remember the decimal <em>hundredths</em> rounding ruleset.

If a decimal is below .50, round down.
If a decimal is .50, round up.
If a decimal is above .50, round up.

View this array below to get a better image.

$\left[\begin{array}{ccc}0.49(down)&0.50(up)&0.51(up)\end{array}\right]$

So, for example, if you had 6.51, you would round that up to 7, and if you had 8.47, you would round that to 8

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2 years ago

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ziro4ka [17]

Step-by-step explanation:

I am not sure bout this question sry

you reap what you sow ;)

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