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Sonbull [250]
3 years ago
15

Write the equations after translating the graph of y = | 1/2 x−2|+3 one unit up

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
8 0

Answer:

\huge\boxed{y=\bigg|\dfrac{1}{2}x-2\bigg|+4}

Step-by-step explanation:

f(x) + n - translation n units up

f(x) - n - translation n units down

f(x + n) - translation n units to the left

f(x - n) - translation n units to the right

We have

y=\bigg|\dfrac{1}{2}x-2\bigg|+3\to f(x)=\bigg|\dfrac{1}{2}x-2\bigg|+3

translation 1 unit up (f(x) + 1)

f(x)+1=\bigg(\bigg|\dfrac{1}{2}x-2\bigg|+3\bigg)+1=\bigg|\dfrac{1}{2}x-2\bigg|+3+1\\\\=\bigg|\dfrac{1}{2}x-2\bigg|+4

tresset_1 [31]3 years ago
7 0

Answer:

[1/2x-2]+4

Step-by-step explanation:

add one to the end

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
A manufacturer produces bearings, but because of variability in the production process, not all of the bearings have the same di
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Proportion of all bearings falls in the acceptable range = 0.9973 or 99.73% .

Step-by-step explanation:

We are given that the diameters have a normal distribution with a mean of 1.3 centimeters (cm) and a standard deviation of 0.01 cm i.e.;

Mean, \mu = 1.3 cm            and           Standard deviation, \sigma = 0.01 cm

Also, since distribution is normal;

                 Z = \frac{X -\mu}{\sigma} ~ N(0,1)

Let X = range of diameters

So, P(1.27 < X < 1.33) = P(X < 1.33) - P(X <=1.27)

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  P(X <= 1.27) = P( \frac{X -\mu}{\sigma} < \frac{1.27 -1.3}{0.01} ) = P(Z < -3) = 1 - P(Z < 3) = 1 - 0.99865

                                                                                            = 0.00135

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3 years ago
Evaluate for x and y<br> 4x-6y=-26<br> -2x+3y-13
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Answer:

(x, y) = (- 13/2 + 3/2 * y, y) ,y in mathbb R

Step-by-step explanation:

4x-6y=-26

-2x+3y-13

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4(-13/2+3/2y) - 6y=-26

y in mathbb R

x, y) = (- 13/2 + 3/2 * y, y) ,y in mathbb

5 0
1 year ago
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