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maksim [4K]
3 years ago
14

The graph represents function 1, and the equation represents function 2:

Mathematics
2 answers:
Vinvika [58]3 years ago
8 0
The rate of change of function 1 (a horizontal line) is zero.

The rate of change (slope) of function 2 is the x-coefficient, 8.

8 is 8 more than 0.

The 4th selection is appropriat:
  8
astra-53 [7]3 years ago
4 0

Answer:

Option D.

Step-by-step explanation:

The slope of a horizontal line is 0.

It is given that the function 1 is a horizontal line that passing through the y-axis at y = 4.

It means the rate of change of function 1 is 0.

The slope intercept form of a linear function is

y=mx+b            .... (1)

where, m is slope and b is y-intercept.

The function 2 is

y=8x+12           .... (2)

On comparing (1) and (2), we get

m=8

The rate of change of function 2 is 8.

The difference between rate of change is

8-0=8

The rate of change of function 2 is 8 more than the rate of change of function 1.

Therefore, the correct option is D.

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siniylev [52]

Answer:

y = -2x

Step-by-step explanation:

It passes through -5, 10 and 5, -10

gradient = Δy/Δx

gradient = -10 - 10 / 5 -- 5

gradient = -20 / 10

gradient = -2

let's use -5, 10 for y = mx + b

10 = -2(-5) + b

10 = 10 + b

b = 10 - 10

b = 0.

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6 0
2 years ago
What number when divided by 12 gives a quotient of 16 and a remainder of 8?
valina [46]
(12 x 16) = 192 + 8 = 200

Therefore the answer is 200 which when divided by 12 gives a quotient of 16 and a remainder of 8. 
3 0
3 years ago
According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or o
Marizza181 [45]

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that p = 0.304

100 such adults

This means that n = 100

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This is P(X = 32).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

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3 years ago
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