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morpeh [17]
1 year ago
15

Examine the following graph, where the function P(x) is mapped to I(x) by a translation.

Mathematics
1 answer:
Murrr4er [49]1 year ago
6 0

f(x) = p(x) + 4 shows the correct transformation.

<h3>Define transformations.</h3>

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location. The most typical varieties are listed below: When a figure is translated, it is moved in any direction. Flipping a figure over a line is called reflection. Rotation is the process of turning a figure a specific amount around a point.

Given,

Function

f(x) = p(x) + 4

shows the correct transformation.

To learn more about transformation, visit:

brainly.com/question/11709244

#SPJ9

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3 years ago
One mirror is to be in the shape of a triangle whose height is 6 feet less than twice the base of the mirror. If the mirror has
Vlad1618 [11]

Answer:

Base of the mirror is 12 feet and height of the mirror is 18 feet.

Step-by-step explanation:

Given:

Area of the triangular mirror = 108 sq ft.

Let base (b) of the mirror be x.

Now given:

height is 6 feet less than twice the base of the mirror

So we can say that;

Height (h) = 2x-6

We need to find the base and height of the mirror.

Solution:

Now we know that mirror is in triangular shape so we will apply area of triangle formula to find base and height.

Now Area of triangle is half times base times height.

framing in equation form we get;

108=\frac{1}{2} \times x \times(2x-6)\\\\108=\frac{1}{2}\times x \times 2(x-3)\\\\108=x(x-3)\\\\108=x^2-3x\\\\x^2-3x-108=0

Now we will find the roots of x by factorizing the equation we get;

x^2-12x+9x-108=0\\\\x(x-12)+9(x-12)=0\\\\(x-12)(x+9)=0

Now we will solve for 2 values of x we get;

x-12=0\\\\x=12\ ft\\\\Also;\\\\x+9=0\\\\x=-9\ ft

Now we get 2 values of 'x' one positive and one negative.

Since x is base of the triangle which cannot be negative.

so we will discard the negative value.

Hence;

base of triangle = 12 ft

Height of the triangle = 2x-6=2\times12-6 =24-6 =18\ ft

Hence Base of the mirror is 12 feet and height of the mirror is 18 feet.

7 0
3 years ago
If a cylinder has a height of 7 m and its base has a radius of 6 m, what is its volume? Use 3.14 for 5 and
tia_tia [17]

Answer:

Step-by-step explanation:

5 0
3 years ago
The average performance rating of the employees at Company A is 6.5 on a scale from 1 to 10 (10 being highest). The standard dev
djyliett [7]

Answer:

The best choice would be hiring a random employee from company A

Step-by-step explanation:

<em>Supposing that the performance rating of employees follow approximately a normal distribution on both companies</em>, we are interested in finding what percentage of employees of each company have a performance rating greater than 5.5 (which is the mean of the scale), when we measure them in terms of z-scores.

In order to do that we standardize the scores of both companies with respect to the mean 5.5 of ratings

The z-value corresponding to company A is

z=\frac{\bar x-\mu}{s}

where

\bar x = mean of company A

\mu = 5.5 (average of rating between 1 and 10)

s = standard deviation of company A

z=\frac{\bar x-\mu}{s}=\frac{6.5-5.5}{2.1}=0.7142

We do the same for company C

z=\frac{\bar x-\mu}{s}=\frac{7.4-5.5}{6.8}=0.2794

This means that 27.49% of employees of company C have a performance rating > 5.5, whereas 71.42% of employees of company B have a  performance rating > 5.5.

So, the best choice would be hiring a random employee from company A

4 0
3 years ago
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