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lyudmila [28]
2 years ago
13

Find the difference. On February 6, 1995, in Sioux Falls, South Dakota, the temperature dropped from 48°F to –16°F in a period o

f 8 hours. What was the average change in temperature per hour? please help
Mathematics
1 answer:
gtnhenbr [62]2 years ago
8 0

Answer:

The average change in temperature per hour was -8°F.

Step-by-step explanation:

Using the equation 48-(-16) we know that the temperature dropped by 64°F.

48-(-16)=64

We now know that the temperature dropped by 64°F in a period of 8 hours. Using the equation -64/8 we can find the average change in temperature per hour.

\frac{-64}{8} = -8

Therefore, the average change in temperature per hour was -8°F.

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Select the point that is a solution to the system of inequalities.<br> y≤2x-2<br> y≤ x²-3x
miss Akunina [59]

Both statements are true. Therefore (4,2) is a solution and option D is correct.

The given inequalities are y\leq 2x-2 and y\leq x^{2} -3x.

We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).

<h3>What is an example of a system of inequalities in real life?</h3>

Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.

Any point is a solution to this system of inequality if it satisfies both inequalities.

Check the inequalities by each option.

For (-2, -1), -1\leq 2(-2)-2 \implies -1\leq -6.

This statement is false because -1 is greater than -6. Therefore (-2,-1) is not a solution and option A is incorrect.

For (1, 3), 3\leq 2(1)-2 \implies 3\leq 0

This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.

For (2,1), 1\leq 2(2)-2 \implies 1\leq 2.

1\leq 2^{2} -3(2) \implies 1\leq -2

This statement is false because 1 is greater than -2. Therefore (2,1) is not a solution and option C is incorrect.

For (4,2), 2\leq 2(4)-2 \implies 2\leq 6

2\leq 4^{2} -3(4) \implies 2\leq 4

Both statements are true. Therefore (4,2) is a solution and option D is correct.

To learn more about inequalities visit:

brainly.com/question/20383699.

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7 0
2 years ago
Triangle ABC is shown below.<br> What is the length of line segment AC?
Rzqust [24]

Answer:

The length of the line segment AC is equal to 14

Step-by-step explanation:

The triangle above is an isosceles triangle, In an Isosceles triangle the two angles; B and C are the same, hence the two sides; AB and AC are also the same.

AB=2x    and AC= 3x - 7

AB = AC

which implies;

2x = 3x - 7

subtract 3x from both-side of the equation

2x - 3x = 3x -3x -7

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Multiply through by -1

x = 7

But we were ask to find the the length of the line segment AC

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substituting x = 7 into the above equation will yield;

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Therefore the length of the line segment AC is equal to 14

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4 years ago
Multiply<br> 5x107 * 3x105
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Answer:

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