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Troyanec [42]
2 years ago
9

PLEASEEE HELP MEEEENO LINKSSS

Mathematics
1 answer:
Artemon [7]2 years ago
3 0

Answer:

\huge\boxed{(2,\ 3);\ (-1,\ 6)}

Step-by-step explanation:

f(x)=x^2-2x+3\to y=x^2-2x+3\\f(x)=-x+5\to y=-x+5\\\\\left\{\begin{array}{ccc}y=x^2-2x+3&(1)\\y=-x+5&(2)\end{array}\right

substitute (1) to (2):

x^2-2x+3=-x+5     add x to both sides

x^2-2x+x+3=-x+x+5

x^2-x+3=5        subtract 5 from both sides

x^2-x+3-5=5-5

x^2-x-2=0\\\\x^2+x-2x-2=0\\\\x(x+1)-2(x+1)=0\\\\(x+1)(x-2)=0\iff x+1=0\ \vee\ x-2=0\\\\\boxed{x=-1\ \vee\ x=2}

substitute the values of x to (2):

x=-1\\\\y=-(-1)+5=1+5=6\\\\\huge\boxed{(-1,\ 6)}\\\\x=2\\\\y=-2+5=3\\\\\huge\boxed{(2,\ 3)}

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jarptica [38.1K]
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3 0
2 years ago
Can someone help me please and explain.
exis [7]
[This question is such you will not understand a thing without your involvement as well. So follow my step and check by yourself]

First plot both functions on graph (this you gotta do yourself and check because only then you will learn)

How you plot the function?

f(x)=-3x³+5x-5

Put y=f(x)

y=-3x³+5x-5➡eqn(1)

So note the corresponding values of y on putting different values of x in that function.

I'll show u:

When x=0,y=-5 [calculate yourself it's easy just put x=0 and find value of y in eqn(1)]

Similarly,

x=1,y=-3

x=2,y=-19

[Similarly put x=-1,-2..and find corresponding y]

So you got points (0,-5),(1,-3),(2,-19)...plot these points and you have successfully plotted f(x).

Same process for plotting function g(x)....at least 6 points must be plotted.

❇After plotting f(x) and g(x):

1)check by yourself if they have same y-intercept (which is the distance between origin and the point of intersection of y-axis and the curve/line)

2) To check if they have same behavior or not,

increase the value of x[ie,1,2,3...] and note the corresponding value of y in function f(x) . Then decrease value of x[ie,-1,-2,-3..] and note corresponding value of y [note that y means function or f(x)]

Suppose f(x) has following end behavior:

When x increases f(x) tends to decrease

and when x decreases f(x) tends to increase

Now find end behavior of g(x) also..and if above end behavior matches with g(x), they will have same end behavior.

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4)g(x) is even function but f(x) is odd function.

So, g(x) is symmetrical over y-axis but f(x) is not.

5) Actually most of the algebraic polynomial functions don't show periodicity(but trigonometric and exponential function do). You can check by yourself by looking in plotted graph. If graph seems to be repeating same behavior it is periodic otherwise not. I am sure the given functions are not periodic. {Plz google periodic function if you want to know more}
3 0
2 years ago
What is 0.65 as a fraction in simplest form?
Doss [256]
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liubo4ka [24]

Answer:

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Plugging in 1.36976 and completing the process again gave me 1.359454

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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!!!

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