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3 years ago

Graph the linear equation by plotting the x and y intercepts x +4y -16 =0

Mathematics

1 answer:

ira [324]3 years ago

5 0

Answer:

x intercept = 16

y intercept = 4

Step-by-step explanation:

For the x intercept...y = 0...where the equation would be...x + 4(0) = 16..hence giving us the x intercept as... x = 16

For the y intercept...x = 0...where if we substitute x = 0 into our equation...the equation would be....0 + 4y = 16..hence giving us..., 4y = 16...divide both sides by 4...y = 4

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a straight line has a equation 4x + 3y = 12 . find the gradient of the line and the coordinates of the point where this line cro

Komok [63]

4x + 3y = 12
3y = -4x + 12
y = -4/3x + 4........so the slope (or gradient) is -4/3...because in y = mx + b form, the slope(gradient) is in the m position and the y int is in the b position....so if u wanted to know the y axis, it would be (0,4)

the x intercept (where the line crosses the x axis) can be found by subbing in 0 for y in the original equation or the slope intercept equation, and solving for x.
4x + 3(0) = 12
4x = 12
x = 12/4 = 3....so the x intercept is (3,0)

4 0

3 years ago

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

3 years ago

How do you solve tangets?

Ivahew [28]

By a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.

4 0

3 years ago

John read the first 114 pages of a novel, which was 3 pages less than start fraction, 1/3 1, divided by, 3, end fraction of the

anyanavicka [17]

HERE IS YOUR ANSWER

<span>114 = (1/3)p - 3
HOPED I HELPED AND SMASH THAT THANKS BUTTON AND ADD ME AS A FRIEND</span>

3 0

3 years ago

A person works 40 hours per week earns 59,70 per year, estimate that persons hourly wage by rounding to the nearest ten thousand

olganol [36]

Answer:

he earns about 120 bucks a week

Step-by-step explanation:

There are 168 hours in a week and, so if the hours in 5970 divided by 50 equals 119.4 (possibly irrelevant) but if he gets paid 5970 per year and works 0.57 hours per day (40 divided by 24) and works about 1.666_ days a week than that would equal 120.85

8 0

3 years ago