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fredd [130]
2 years ago
6

What is the average rate of change of f(x), represented by the table of values, over the interval [-3, 2]?

Mathematics
2 answers:
TEA [102]2 years ago
8 0

Answer:

Option C

Step-by-step explanation:

The average rate of change of f(x) will be represented by the slope between the given interval [-3, 2]

For x = -3 value of f(x) = -36

and for x = 2 value of f(x) = 4

So there are two points ( -3, -36 ) and ( 2, 4 ) through which function is defined.

Therefore, from the formula of slope = \frac{y-y'}{x-x'}

slope = \frac{4+36}{2+3}

          =  slope = \frac{40}{5}

          = 8

Option C is the answer.

maksim [4K]2 years ago
3 0
You would select the points with the x-values -3 and 2 and use the slope formula:
(-3, -36) and (2,4)
m= \frac{y_2-y_1}{x_2-x_1} ← slope formula
x1 = -3 y1 = -36 and x2 = 2 y2 = 4

m= \frac{4--36}{2--3} = \frac{40}{5} =8
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xxTIMURxx [149]

Answer:

k = \frac{13}{2}

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

note the line crosses the y-axis at - 3 ⇒ c = - 3

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substitute (k, 10) into the equation and solve for k

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k = \frac{13}{2}


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Step-by-step explanation:

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The probability can be calculated as given because there are a total of 52 cards.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

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Learn more about the probability here:

brainly.com/question/11234923

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