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3 years ago

(Sorry forgot to put picture)

Mathematics

2 answers:

sweet-ann [11.9K]3 years ago

8 0

4x+8x+12=180
12x+12=180 (combine like terms)
12x=168 (subtract 12 from both sides)
X=14 (divide 12 from both sides)

Sliva [168]3 years ago

6 0

Answer:

Step-by-step explanation:

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Students at Hampton Middle School sold T-shirts as a school fundraiser. Sylvie asked 12 random seventh-grade students how many T

natulia [17]

Answer:

4.1 shirts

Step-by-step explanation:

Mean can be found by adding all data points and dividing that by the total amount of data points.

There are 12 students selling shirt, which gives you 12 data points.

So (3+4+8+5+2+5+0+5+3+4+3+7)/12 = 4.083...

Which rounds to 4.1 shirts

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2 years ago

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r

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Dada la siguiente función exponencial, identifique si el cambio representa crecimiento o disminución, y determine la tasa porcentual de aumento o ...

Step-by-step explanation:

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2 years ago

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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2 years ago

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arlik [135]

An hour and a half, I think

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2 years ago

Irrational numbers are imaginary. true or false

Vedmedyk [2.9K]

Imaginary numbers are not rational which may lead you to believe that they must be irrational. Though logical, you would still be incorrect because “irrational” also applies only to real numbers.

Step-by-step explanation:

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2 years ago

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