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Delicious77 [7]
3 years ago
6

Which set of integers is ordered from least to greatest -13 , 4, 0, -8 -5 , -2, 3, 1 -12 , -18 , -4 , 7 -15, 6 , -9 , -21

Mathematics
1 answer:
HACTEHA [7]3 years ago
6 0

Given:

The set of integers in the options.

-13 , 4, 0, -8

-5 , -2, 3, 1

-12 -18 , -4 , 7

-15, 6 , -9 , -21

To find:

The set of integers that is ordered from least to greatest.

Solution:

We know that the larger negative value is the smaller value and the larger positive value is the greater value.

Ordered from least to greatest means first we need to write the smallest value, write the value larger than and the greatest value occurs at the end.

In option A, we have -13 , 4, 0, -8. Here, 4>0. So, the option A is incorrect.

In option B, we have -5 , -2, 3, 1. Here, 3>1. So, the option B is incorrect.

In option C, we have -12 -18 , -4 , 7 Here, -12>-18. So, the option C is incorrect.

In option D, we have -15, 6 , -9 , -21. Here, 6>-9. So, the option D is incorrect.

Therefore, all the options are incorrect.

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Mkey [24]
Part A:

Given that 

0.8x=1.6y\Rightarrow x= \frac{1.6}{0.8} y=2y

Thus, x = ky where k = 2.

Therefore, the given equation is a direct variation.


Part B:

If y varies directly as x, then y = kx.

Given that y = 5 when x = 2, then

5=2k \\  \\ \Rightarrow k=\frac{5}{2} =2.5 \\  \\ \Rightarrow y=2.5x

When x = 12, y = 2.5(12) = 30.



Part C:

If y varies directly as x, then y = kx.

Given that y = 9 when x = -6, then

9=-6k \\ \\ \Rightarrow k=-\frac{9}{6} =-\frac{3}{2} \\ \\ \Rightarrow y=-\frac{3}{2}x

It can be seen that the equation above satisfies all the rows of the given table, therefore, y varies with x for the data in the question and the equation for the direct variation is y=-\frac{3}{2}x



Part 4:

If y varies directly as x, then y = kx.

Given that y = 1 when x = -2, then

1=-2k \\ \\ \Rightarrow k=-\frac{1}{2} \\ \\ \Rightarrow y=-\frac{1}{2}x

It can be seen that the equation above does not satisfies the other rows of the given table, therefore, y does not vary with x for the data in the question.
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3 years ago
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Wilson is 6 years older than Mary. Wilson's age is 10 years less than five times Mary's age. The equations below model the relat
Neko [114]

Answer:

Wilson is 6 older than mary

w=6+m

wilson is 10 less than 5 times mary

w=-10+5m

w=5m-10

so now we set them eqal to each other since both equal w

m+6=w=5m-10

m+6=5m-10

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6=4m-10

add 10 to both sides

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divide both sides by 4

4=m

sub back

w=m+6

w=4+6

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Approximately 80% of households in the United States have computers. Of those 80%, 90% have Internet access. Find the probabilit
Leni [432]

The probability that a U.S. household selected at random has a computer and has Internet access will be 0.72. The C and I are independent events. Then the correct option is B.

<h3>What is probability?</h3>

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Approximately 80% of households in the United States have computers. Of those 80%, 90% have Internet access.

Then the probability that a U.S. household selected at random has a computer and has Internet access will be

P(C and I) = 0.80 × 0.90

P(C and I) = 0.72

Then the C and I are independent events.

Then the correct option is B.

More about the probability link is given below.

brainly.com/question/795909

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5 0
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Simplify the following expression. (K + 8)(3k^2 - 5k + 7)
natka813 [3]

Answer:

<h3><em>3k^3+19k^2-33k+56</em></h3>

Step-by-step explanation:

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Answer:

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