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blagie [28]
3 years ago
9

Help with this question??

Mathematics
1 answer:
Reika [66]3 years ago
3 0

Answer:

3

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

here [ a, b ] = [ 0, 2 ] and from the graph

f(b) = f(2) = 0

f(a) = f(0) = - 6, hence

average rate of change = \frac{0-(-6)}{2-0} = \frac{6}{2} = 3

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Step-by-step explanation:

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It is A. Let me know if the answer is correct! :)

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3 years ago
An angle measures 29.2° less than the measure of its supplementary angle. What is the measure of each angle?
kiruha [24]

Answer:

104.6 deg, 75.4 deg

Step-by-step explanation:

One angle measures x.

The other angle measures 29.2 deg less than x, so it measures x - 29.2.

They are supplementary angles, so the sum of their measures is 180 deg.

x + x - 29.2 = 180

2x - 29.2 = 180

2x = 209.2

x = 104.6

x - 29.2 = 75.4

Answer: 104.6 deg, 75.4 deg

7 0
3 years ago
1 2 3 4 5 6 7 8 9 10 11 12 13
Rina8888 [55]

Answer:

The mean will increase more than the median, but both will increase.

[third option listed]

Step-by-step explanation:

the <em>median </em>of a data set is the number in the middle [when listed from lowest to highest in value]

1 2 3 4 5 6 7 8 9 10 11 12 13

is the current median

let's consider what adding 12 would mean--it would mean that we move the median slightly higher [further along in the data set] because there are more numbers (but let's try this out to confirm:)

1 2 3 4 5 6 7 8 9 10 11 12 12 13

[if a median placement is shared between two numbers, the mean/average of those two numbers is taken, and that is considered to be the median]

so, 7.5 is the current median

(this is an increase of 0.5)

--

the <em>mean</em> of a data set is what we commonly refer to as the "average"

[you find this value by adding all of the numbers in the data set together and dividing by the number of terms in the data set]

1 2 3 4 5 6 7 8 9 10 11 12 13

mean of original data set:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 [= 91]

_______________________________________

                                    13

[91 ÷ 13 = 7]

because our number is <em>greater </em>than our original mean [12 > 7], we know that the mean must increase:

[91 + 12 = 103]

[103 ÷ 14 ≈ 9.36]

[we had an increase of 2.36]

so, median increased by 0.5, mean increased by 2.36

so, both values increased, whilst the mean increased by <em>more </em>than the median [as to be expected]

you could also express this as "The mean will increase more than the median, but both will increase." [third option listed]

hope this helps!! :)

3 0
2 years ago
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