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lidiya [134]
3 years ago
8

Compare the number of x intercepts in the graph f(x)=x2 to the number of x intercepts in the graph of g(x)=x2-7. Be sure to incl

ude the transformation that occurred between the parent function f(x) and its image g(x)
Mathematics
1 answer:
Nuetrik [128]3 years ago
6 0
With x^2 the x-intercept is (0,0) because it meets at the origin. there are two x intercepts for g(x)=x^2-7 but only one x-int for f(x)=x^2. g(x) SHIFTED DOWN by 7 since the y-int is -7
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find the probability if two dice are rolled. (enter the value of probability in decimals. round the answer to three decimal plac
spayn [35]

The probability of getting a total of 8 when two dice are rolled is 0.139.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Probabilities can be represented by proportions on a 0–1 scale.

A single die will have six sides with the numbers: 1, 2, 3, 4, 5, and 6. Each of these events is equally likely to occur if the dice are rolled fairly. So the probability of getting any side of the number is 1/6. Therefore, the probability of getting 1 in dice is 1/6, 2 is 1/6, and so on.

Therefore, the total possible outcomes are the multiplication of the total possible outcomes on dice 1 and dice 2, which is 36.

This possible outcome of rolling two dice is given by,

\left\{\begin{array}{ccccccc}(1, 1)&(1, 2)& (1, 3)&(1, 4)&(1, 5)&(1, 6)\\(2, 1)&(2, 2)&(2, 3)&(2, 4)&(2, 5)&(2, 6)\\(3, 1)&(3, 2)&(3, 3)&(3, 4)&(3, 5)&(3, 6)\\(4, 1)&(4, 2)&(4, 3)&(4, 4)&(4, 5)&(4, 6)\\(5, 1)&(5, 2)&(5, 3)&(5, 4)&(5, 5)&(5, 6)\\(6, 1)&(6, 2)&(6, 3)&(6, 4)&(6, 5)&(6, 6)\end{array}\right\}

The probability of getting a total of 8 from both dice is given by, (2, 6) (3, 5) (4, 4) (5, 3) (6, 2). So the number of favorable outcomes is 5 and the total outcome is 36. The probability is P(getting a total of 8 from both dices)=5/36= 0.139.

The answer is 0.139.

The complete question is -

Consider rolling dice and getting a total of 8. Find the probability of two dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal places).

To know more about dice probability:

brainly.com/question/17239706

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8 0
1 year ago
Five whole numbers are written in order
jeka57 [31]

Answer:

x=7

y=8

Step-by-step explanation:

-Given that the mean and median is the same.

-Let b=mean =median

#Given that the set is arranged in order and is even:

median=\frac{n+1}{2}\\\\Median=3^{rd} \ term\\\\=x

Hence:

b=median=mean\\\\b=x\\\\\therefore mean=median=x

-Applying the mean formula:

\bar x=\frac{1}{n}\sum{x_i}\\\\\therefore 5x=4+6+x+y+10\\\\4x=20+y\\\\x=5+0.25y

#Since the number are in order:

6

Hence, x=7 and y=8

8 0
3 years ago
Please help me with this.
Valentin [98]

The correct proportion of the corresponding sides is 2 : 3

<h3>How to determine the proportion?</h3>

From the question, we understand that the shapes are similar.

This means that:

Ratio = GHIJ : KLMN

From the figure, we have:

GH = 6 and KL = 9

So, we have:

Ratio = 6 : 9

Simplify the ratio

Ratio = 2 : 3

Hence, the correct proportion of the corresponding sides is 2 : 3

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8 0
2 years ago
In order to determine if engine oil EEEA B C will improve gas mileage, a research study was conducted. From a wide range of vehi
Georgia [21]

Answer:

b. Engine oil E will cause a significant improvement is gas mileage.

Step-by-step explanation:

The research was conducted with the random vehicles who were introduced with Engine oil E. When compared with engine oil E and the generic oil the vehicle that uses engine oil E performed better. The gas mileage of such vehicles improved significantly as compared to other vehicles who received generic oil.

5 0
3 years ago
Which expression can be used to find the surface area of the following rectangular prism?
PolarNik [594]

Answer:

C.

Step-by-step explanation:

3 times 2 is 6, 2 times 5 is 10, 5 times 3 is 15. However you need 2 for each since there are 3 sets of two equal faces. So it will be 6+6+10+10+15+15

4 0
3 years ago
Read 2 more answers
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