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Nat2105 [25]
3 years ago
11

What is the value of this expression 1/4−3 ? 12 1/12 64 1/64

Mathematics
1 answer:
kompoz [17]3 years ago
8 0
1/4^(-3) = 4^3 = 64.
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Describe how the graph of y = x2 can be transformed to the graph of the given equation.
Vikki [24]
 <span>1.Describe how the graph of y = x2 can be transformed to the graph of the given equation. 

y = (x+17)2 

Shift the graph of y = x2 left 17 units. 


2.Describe how the graph of y= x2 can be transformed to the graph of the given equation. 

y = (x-4)2-8 

Shift the graph of y = x2 right 4 units and then down 8 units. 


.Describe how to transform the graph of f into the graph of g. 

f(x) = x2 and g(x) = -(-x)2 

Reflect the graph of f across the y-axis and then reflect across the x-axis. 

Question 4 (Multiple Choice Worth 2 points) 

Describe how the graph of y= x2 can be transformed to the graph of the given equation. 

y = x2 + 8 

Shift the graph of y = x2 up 8 units. 


Question 5 (Essay Worth 2 points) 

Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch. 
f as a function of x is equal to the square root of x and g as a function of x is equal to 8 times the square root of x 

f(x) = √x, g(x) = 8√x 

vertical stretch factor 8
Plz mark as brainlest</span>
5 0
3 years ago
Read 2 more answers
For a given IQ test, an individual is considered a genius if their score falls more than three standard deviations from the mean
ki77a [65]

Answer:

P(Z>3) = 1-P(Z

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a.2

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Solution to the problem

Let X the random variable that represent the IQ scores of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu=?,\sigma=?)  

We are interested on this probability

P(X>X+3\mu)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

And we can find the following probablity:

P(Z>3) = 1-P(Z

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a/2.0

3 0
2 years ago
The table shows the sandwich choices for a picnic. Find the sample space using a list, table, or tree diagram for a sandwich con
Arada [10]

Answer:6t

Step-by-step explanation:

3 0
3 years ago
What’s the value of x
Vladimir [108]

Answer:

C. x=42

Step-by-step explanation:

16 + 3x + y = 180

126 + 16 + y = 180

y = 38

16 + 3x + 38 = 180

54 + 3x = 180

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x=42

3 0
3 years ago
Please answer A S A P
guajiro [1.7K]

Answer:

1, i) equation for Mike's Repair Shop = $65x + $100

  ii) Amy's Auto Repair = $80x + $40

2. 65x + 100 = 80x + 40

3.  x = 4  

4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.

5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80\times3 + $40 = $280 and Mike's will cost = $65\times3 + $100 = $295.

6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80\times6 + $40 = $520 and Mike's will cost = $65\times6 + $100 = $490.

7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.

Step-by-step explanation:

i) x = number of hours worked

ii) y = total cost

1, i) equation for Mike's Repair Shop = $65x + $100

  ii) Amy's Auto Repair = $80x + $40

2. 65x + 100 = 80x + 40

3.   15x = 60, therefore x = 4  

4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.

5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80\times3 + $40 = $280 and Mike's will cost = $65\times3 + $100 = $295.

6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80\times6 + $40 = $520 and Mike's will cost = $65\times6 + $100 = $490.

7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.

4 0
3 years ago
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