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Aleks [24]
3 years ago
6

Rewrite ^3 sqrt 27x-81-5 to make it easy to graph a translation. Describe the graph.

Mathematics
1 answer:
iragen [17]3 years ago
8 0
First we have to rewrite this function.Instead of :^3 sqrt (...) we can write : (...)^(1/3).
f ( x ) = ( 27 x - 81 ) ^(1/3) - 5 = ( 27 * ( x - 3 ) ) ^(1/3) - 5 = = 3 * ( x - 3 )^(1/3) - 5 And this makes it easy to graph a translation.The parent function is y = x^(1/3). The zero of this function is ( 0, 0 ).
Then it will be stretched vertically by a factor of 2 and translated: 3 units right and 5 units down.

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8 0
3 years ago
According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66 in
Zolol [24]

Answer:

The probability that the person is between 65 and 69 inches is 0.5403

Step-by-step explanation:

Mean height = \mu = 66

Standard deviation = \sigma = 2.5

We are supposed to find What is the probability that the person is between 65 and 69 inches i.e.P(65<x<69)

Z=\frac{x-\mu}{\sigma}

At x = 65

Z=\frac{65-66}{2.5}

Z=-0.4

Refer the z table for p value

P(x<65)=0.3446

At x = 69

Z=\frac{69-66}{2.5}

Z=1.2

P(x<69)=0.8849

So,P(65<x<69)=P(x<69)-P(x<65)=0.8849-0.3446=0.5403

Hence the probability that the person is between 65 and 69 inches is 0.5403

6 0
3 years ago
line j has an equation of y=-x+8. line k includes the point (1,-3) and is perpendicular to line j. what is the equation of line
In-s [12.5K]

Answer:

y = x - 4

Step-by-step explanation:

<u>Use point slope form:  (y - y1) = m(x - x1)</u>

m = 1

<u>Step 1:  Plug in</u>

(y - (-3)) = 1(x - 1)

y + 3 - 3 = x - 1 - 3

y = x - 4

Answer:  y = x - 4

8 0
3 years ago
What is another way to write to 72- (-25) ?
Valentin [98]

Your answer would be 1, or 72+25.

What is happening in this case is a negative number is being subtracted from a positive. This means you are taking away a negative. The two negatives cancel each other out, and then it becomes you are adding a positive.

Another way I like to think about this is the two minus symbols combine together to form a plus sign.

Hope this helped!

8 0
3 years ago
Read 2 more answers
Which expression represents the distance, in miles, between Paige's house and Diego's house?
lana [24]
Distance between <span>Paige's house and Diego's house 
=
|3 - (-8)| = |11| = 11 miles

answer
</span>|3 - (-8)|
4 0
4 years ago
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