What is the slope of the line that goes through (2,7) (3,9)

Mathematics

1 answer:

marin [14]3 years ago

4 0

Answer:

Step-by-step explanation:

slope (m) = y2 - y1/x2 - x1

m = 9 - 7/3 - 2

m = 2/1

m = 2

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Find the indicated limit, if it exists. (1 point) limit of f of x as x approaches 9 where f of x equals x plus 9 when x is less

Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

For the limit of a function to exist, then the right hand limit of the function must be equal to its left hand limit as shown;

If the function is f(x), for f(x) to exist then;

$\lim_{n \to a^{+} } f(x) = \lim_{n \to a^{-} } f(x) = \lim_{n \to a } f(x)$

Given the function;

$f(x) = \left \{ {{x+9\ x$

Lets check if the above statement is true.

The right hand limit of the function occurs at x> 9

f(x) = 9-x

$\lim_{x \to 9+} (9-x)\\= 9-9\\= 0$

The left hand limit occurs at x<9

f(x) = x+9

$\lim_{x \to 9^{-} } (x+9)\\= 9+9\\= 18$

From the above calculation, it can be seen that $\lim_{x \to 9^{+} } f(x) \neq \lim_{x \to 9^{-} } f(x)$ , this shows that the function given does not exist at the given point.

6 0

3 years ago

Find all the frist differnce and explian your answer

Sever21 [200]

Answer: No this is not a linear function as the y values have different first differences.

Step-by-step explanation:

First we look at the x values. We start off and look at the second x value and subtract the first x value from it (That would be 1-0) and that equals to 1. Then we look at the third x value and subtract the second x value from it (2-1) and that equals to 1. Then we look at the fourth x value and subtract the third x value from it (That would be 3-2) and that is 1. Next we look at the fifth x value and subtract the fourth x value from it (That would be 4-3) and that is 1.

Now we look at the y values and do the same thing as with the x values. We start off and look at the second y value and subtract the first y value from it (That would be 1-0) and that equals to 1. Then we look at the third y value and subtract the second y value from it (4-1) and that equals to 3. Then we look at the fourth y value and subtract the third y value from it (That would be 9-4) and that is 5. Next we look at the fifth y value and subtract the fourth y value from it (That would be 16-9) and that is 7.

Even though the x values all have the same first differences, the y values do not and so this cannot be a linear function.

I hope this helps. Tell me if something doesn't make sense.

8 0

2 years ago

Read 2 more answers

What is the value of 3(4x+5y) - 2(7x-3y) when x = -2 and y = 3

Shkiper50 [21]

Answer:

Step-by-step explanation:

Subsitute both given values into the equation then continue to simplify the equation

3(4(-2)+5(3)) -2(7(-2)-3(3))

3(-8+15) -2(-14-9)