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3 years ago

(2,-2) (-9, 6) what’s the slope

Mathematics

2 answers:

neonofarm [45]3 years ago

7 0

Answer:

Slope = m = -8/11

SVEN [57.7K]3 years ago

3 0

Answer:

the slope is -8/11

Step-by-step explanation:

Slope can be found by

$m=\frac{\Delta y}{\Delta x}\\m = \frac{6--2}{-9-2} \\m=\frac{8}{-11} \\$

You might be interested in

-3/4x < 12

Maksim231197 [3]

Okay, so, to solve these inequalities, your goal is to get the variable equal to one number, so let's take a look at the first problem:

-3 / 4x < 12,

to get rid of the numbers attached to the variable 'x', you would divide the numbers, since, the original is multiplying with x, you would do the opposite, and the opposite of multiplication, is division.

So, now our equation is, - 3 / 4x divided by - 3 / 4, which would leave X by itself, then we have to do that same thing to the 12, which would be, 12 divided by - 3 / 4, which would equal, 16.

-3 / 4 < 12
÷ - 3 / 4 ÷ - 3 / 4
_____________
X > 16

Now, our equation is X > 16, which is the answer, to problem number one.

(Also a quick note, when you divide by a negative, the inequality symbol flips, for example, when we divided by -3 / 4, our inequality symbol changed from the less than symbol, to the more than symbol.)

___________________________________

Let's take a look at problem number two:

13c < -169,

Okay, so, again, you're trying to get C by itself. The number 13 is multiplying with C, so, you need to do the opposite, and divide, so you can get C by itself.

13c divided by 13 equals C

13c/13 = C

and

- 169 divided by 13, equals, -13,

So, the answer is, C < -13

Or,

13c < - 169
÷ 13 ÷ 13
__________
C < - 13
___________________________________

Let's take a look at problem number 3:

5B - 28 > 27,

Okay, so now, we have another number on the same side as B, so, we get rid of that first, it's subtracting, so now we do the opposite, and add it to the other side.

5B - 28 > 27
+28 +28
__________
5B > 55

Now, we divide both sides by 5:

5B > 55
÷5 ÷5
_______

B > 5
___________________________________

Now, Let's take a look at problem number 4:

3x - 7 > 4x + 2,

okay, so, we have multiple steps to take with this equation.

First, we want to get X by itself, so, we have to get rid of the -7, so, we do the opposite, and the opposite of subtracting, is adding.

3x - 7 > 4x + 2
+ 7 + 7
___________
3x > 4x + 9

Now, you only want to have one number with X, per equation, so, you need to move 4x to the other side, the way we do that, is by subtracting 4x.

3x > 4x + 9
-4x -4x
__________
-1x > 9

We can't have a negative number attached to the x, because that's like having a negative X, so, we have to divide one more time.

-1x > 9
÷-1 ÷-1
_______

Since, we are dividing by a negative, the inequality sign is going to flip, which would make the answer:

X < -9
___________________________________

I hope this helps!

3 0

4 years ago

PLEASE HELP ME!! Simplify by multiplying the LCD

Umnica [9.8K]

Answer:

x+1/x-1 +1 / x+1/x-1 -1= x

3 0

3 years ago

Which equation represents a linear function?

devlian [24]

Answer:

y = 9 - x

Step-by-step explanation:

y = 9 - x

3 0

3 years ago

Read 2 more answers

1. Let x[n] be a signal with x[n] = 0 for n<-1 and n > 3. For each signal given below, determine the values of n for which

valentina_108 [34]

Answer:

a) n<1 and n>5

b) 0 < n < -4

c) n > 2 and n < -2

Step-by-step explanation:

The signal is given by x[n] = 0 for n < -1 and n > 3

The problem asks us to determine the values of n for which it's guaranteed to be zero.

a) x[n-2]

We know that n -2 must be less than -1 or greater than 3.

Therefore we're going to write down our inequalities and solve for n

$n-2$

Therefore for n<1 and n>5 x [n-2] will be zero

b) x [n+ 3]

Similarly, n + 3 must be less than -1 or greater than 3

$n+30$

Therefore for n< -4 and n>0, in other words, for 0 < n < -4 x[n-2] will be zero

c)x [-n + 1]

Similarly, -n+1 must be less than -1 or greater than 3

$-n+13-1\\-n>2\\n$

Therefore, for n > 2 and n < -2 x[-n+1] will be zero

4 0

4 years ago

Q1 : Find the inverse of the function.

Mamont248 [21]

Answer:

1. Option D is correct.

2. Option B is correct.

3. Option B is correct.

Step-by-step explanation:

Inverse function defined as the the function that undergoes the action of the other function.

A function $f^{-1}$ is the inverse of f if whenever y =f(x) and $x =f^{-1}$

To find the inverse of the function:

Q1.

Given the function: f(x) = 7x -1

Put y for f(x) and solve for x;

y= 7x -1

Add 1 both sides we get;

y + 1 = 7x

Divide both sides by 7 we get;

$x = \frac{y+1}{7}$

Put $f^{-1}(y)$ for x;

$f^{-1}(y) = \frac{y+1}{7}$

Interchange y =x, we have

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

Q 2.

Given the function:

$f(x) = x^3 - 7$

Put y for f(x) and solve for x;

$y = x^3-7$

Add 7 both sides we get;

$y + 7 =x^3$

taking cube root both sides we get

$x =\sqrt[3]{y+7}$

Put $f^{-1}(y)$ for x;

$f^{-1}(y) =\sqrt[3]{y+7}$

Interchange y =x, we have

$f^{-1}(x) = \sqrt[3]{x+7}$

Q3 .

Given the function:

$f(x) = 5x^3 - 3$

Put y for f(x) and solve for x;

$y = 5x^3-3$

Add 3 both sides we get;

$y + 3 =5x^3$

Divide both sides by 5 we get;

$x^3 = \frac{y+3}{5}$

taking cube root both sides we get

$x = \sqrt[3]{\frac{y+3}{5} }$

Put $f^{-1}(y)$ for x;

$f^{-1}(y) = \sqrt[3]{\frac{y+3}{5} }$

Interchange y =x, we have

$f^{-1}(x) = \sqrt[3]{\frac{x+3}{5} }$

7 0

3 years ago