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2 years ago

4/k =8/3 what is k?

Mathematics

1 answer:

koban [17]2 years ago

8 0

Answer:

1.5

Step-by-step explanation:

4 x 2 = 8, so k x 2 = 3

3 / 2 = 1.5

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Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 4?

den301095 [7]

ANSWER

A) -1

EXPLANATION

The average rate of change of the given quadratic function on the interval 0 ≤ x ≤4 is the slope of the secant line connecting the points (0,f(0)) and (4,f(4)).

That is the average rate of change is:

$= \frac{f(4) - f(0)}{4 - 0}$

From the graph, f(0) is 0 and f(4) is -4.

We plug in these values to obtain;

$= \frac{ - 4 - 0}{4 - 0}$

This simplifies to;

$= \frac{ - 4}{4}$

$= - 1$

Hence the average rate of change for the given quadratic function whose graph is shown on 0≤x≤4 is -1

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3 years ago

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If f(x)=x+7 and g(x)= 1 divided by x-13, what is the domain of (f•g)(x)?

andrew11 [14]

<h2>Hello!</h2>

The answer is:

The domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.

Composite function is equal to:

$f(g(x))=(f\circ} g)(x)$

So, the given functions are:

$f(x)=x+7\\\\g(x)=\frac{1}{x-13}$

Then, composing the functions, we have:

$f(g(x))=\frac{1}{x-13}+7\\$

Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.

If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.

So, the domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

Have a nice day!

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3 years ago

Plz help loves i need

Ratling [72]

Answer:

It's the letter B :)

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This is a linear equation/ graph quiz ! please help , my teacher makes no sense to me!

JulijaS [17]

Answer:

(8,5)

Step-by-step explanation:

5x - 2y = 30

coordinates are (x,y) so you plug in 8 for x and solve for y

5(8) - 2y = 30

40 - 2y = 30

subtract 40 from both sides to isolate y

-2y = -10

divide both sides by -2 to isolate y

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Find the product and 220 and 4

Alecsey [184]

220 x 4 = 880. //////

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4/k =8/3 ​ what is k?

4/k =8/3 what is k?