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AleksAgata [21]
2 years ago
12

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics
1 answer:
hodyreva [135]2 years ago
3 0

Answer:

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. If they are inversely proportional, an increase in the value of one variable would cause a corresponding decrease in the other variable.

Looking at the given values, as x is increasing, y is also increasing. The constant of proportionality is

9/3 = 27/9 = 3

Therefore, the relationship is a direct variation and the function to model it is

y = 3x

Step-by-step explanation:

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Find the vertex of the function given below. y = x2 - 4x + 1
DedPeter [7]
The vertex is (2, -3).
Use the formula x= -b/2a to find the x value., which is 2.Then, substitute it into the function, wherever you see an x. Follow order operations and you get y, which is -3.
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If nx10^p is a positive number written in scientific notation which statements must be true? Select all that apply
liq [111]

For this case we have the following number written in scientific notation:


n * 10 ^ p

We know that this number is greater than zero because it is a positive number.

Therefore, the following statements are true:

p ∈ (-∞, ∞)

n must be between 1 and 10

n ∈ [1, 10]

Answer:

The following statements are correct about the number written in scientific notation:

p ∈ (-∞, ∞)

n ∈ [1, 10]

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2 years ago
Lago enriquillo , Dominican Republic is at 151 ft below sea level. The highest mountain in the Dominican Republic is pico Duarte
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Answer:

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Step-by-step explanation:

5 0
3 years ago
PLEASE HELP I WILL MARK YOU AS BRAINLEST
denpristay [2]

Answer:

(i) Five number summary: Minimum value = 1, Q_1=18,Median=18.5, Q_3=20.5, Maximum value = 26.

(ii) IQR = 2.5, upper fence = 24.25 and lower fence = 14.25.

(iii) 26 is an outlier of the data.

Step-by-step explanation:

The given data set is

19, 18, 23, 18, 18, 26, 19, 16, 20, 18, 17, 21

Arrange the data set in ascending order.

16, 17, 18, 18, 18, 18, 19, 19, 20, 21, 23, 26

Divide the data set in 4 equal parts.

(16, 17, 18), (18, 18, 18), (19, 19, 20), (21, 23, 26)

Minimum value = 16

Q_1=\frac{18+18}{2}=18

Median=Q_2=\frac{18+19}{2}=18.5

Q_3=\frac{20+21}{2}=20.5

Maximum value = 26

The inter quartile range (IQR) of the data is

IQR=Q_3-Q_1=20.5-18=2.5

Upper fence :

Q_3+1.5(IQR)=20.5+1.5(2.5)=24.25

Lower fence :

Q_1-1.5(IQR)=18-1.5(2.5)=14.25

If the any element of the data set lies out side the upper fence and lower fence, then it is called an outlier.

26 ∉ [14.25, 24.25]

Therefore, 26 is an outlier of the data.

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The answer is a. I think
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