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avanturin [10]
3 years ago
13

I need help finding the slope, The y-intercept, and the equation??

Mathematics
1 answer:
dusya [7]3 years ago
4 0

Answer:

y intercept is (0, 1)

slope is 3

equation is y = 3x +1

Step-by-step explanation:

You find the y intercept when x equals 0 and you can see that on the table that is 1.

You find slope by y2-y1 divided by x2-x1. if you pick (0,1) and (1,4) it is 4-1/1-0 which equals 3.

Therefore the equation is y = 3x + 1 in slope intercept form because the slope is 3 and y int is 1.

You might be interested in
Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two successive approximations diff
liubo4ka [24]

Answer:

There is only one real zero and it is located at x = 1.359

Step-by-step explanation:

After the 4th iteration the solution was repeating the first 3 decimal places.  The formula for Newton's Method is

x_{n}-\frac{f(x_{n}) }{f'(x_{n}) }

If our function is

f(x)=x^5+x-6

then the first derivative is

f'(x)=5x^4+1

I graphed this on my calculator to see where the zero(s) looked like they might be, and saw there was only one real one, somewhere between 1 and 2.  I started with my first guess being x = 1.

When I plugged in a 1 for x, I got a zero of 5/3.  

Plugging in 5/3 and completing the process again gave me 997/687

Plugging in 997/687 and completing the process again gave me 1.36976

Plugging in 1.36976 and completing the process again gave me 1.359454

Plugging in 1.359454 and completing the process again gave me 1.359304

Since we are looking for accuracy to 3 decimal places, there was no need to go further.

Checking the zeros on the calculator graphing program gave me a zero of 1.3593041 which is exactly the same as my 5th iteration!

Newton's Method is absolutely amazing!!!

5 0
4 years ago
What’s the answer to m/3-2m/5=1/5
natta225 [31]

Answer:

m = - 3

Step-by-step explanation:

\frac{m}{3} - \frac{2m}{5} = \frac{1}{5}

It is much easier to work with whole numbers, compared to fractions, hence one should remove the denominator of the fraction. This can be done by multiplying by the LCM (least common multiple). In this case, it is fairly obvious that the LCM of 3 and 5 is 15. Therefore multiply the entire equation by 15.

15*\frac{m}{3} - 15*\frac{2m}{5}=15*\frac{1}{5}

Simplify

5m-6m=3

-m=3\\m=-3

3 0
3 years ago
PLZ HELP IVE BEEN STUCK ON THIS QUESTION​
o-na [289]

Answer:

A= 16

B=?

Step-by-step explanation: srry about the second one im also confused but i tried my best.

7 0
4 years ago
What do I next please
maria [59]
Question?.......................


3 0
3 years ago
The values in the table represent a function.
sweet [91]

Answer:

f(-6) = 8

f(3) = -2

f(x) = -5 when x is 4

Step-by-step explanation:

* Lets explain how to solve the problem

- The table of the function has two column

# First column labeled x with entries:

  -6 , 7 , 4 , 3 , -5

# Second column labeled f(x) with entries:

   8 , 3 , -5 , -2 , 12

∴ The ordered pairs of the function f(x) are:

  (-6 , 8) , (7 , 3) , (4 , -5) , (3 , -2) , (-5 , 12)

* Lets complete the missing

∵ The value of x in the first row is -6

∵ The value of f(x) in the first row is 8

∴ The function notation in the 1st row is f(-6) = 8

- The ordered pair given in the first row of the table can be

  written using function notation as f(-6) = 8

∵ The ordered pair whose x = 3 is (3 , -2)

∴ The value of f(x) when x = 3 is -2

∴ f(3) = -2

∵ The ordered pair whose f(x) = -5 is (4 , -5)

∴ The value of x when f(x) = -5 is 4

∴ f(x) = -5 when x is 4

6 0
3 years ago
Read 2 more answers
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