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Shkiper50 [21]
2 years ago
14

Solve each inequality. Graph the solution 3<5x-2<7

Mathematics
1 answer:
laiz [17]2 years ago
7 0

Answer:

2.976616664

that tge answer

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{(-2, 6), (2, 0), (3, 6), (4, -1), 5, 3)}<br> Dom:<br> Range:<br> Function?
kozerog [31]

Answer:

Domain = {-2, 2, 3, 4, 5}

Range= {6, 0, 6, -1, 3)

It is a function

Step-by-step explanation:

It is a function because there is only one y value for each x value

4 0
3 years ago
Choose the numbers that are irrational.
ddd [48]
As the numbers are written, none of them are irrational because they are all terminating decimals:

3.624=\dfrac{3624}{1000}=\dfrac{453}{125}
0.6=\dfrac6{10}=\dfrac35
0.87=\dfrac{87}{100}
-5=-\dfrac51

Perhaps there is some missing notation in your question?
8 0
3 years ago
In the derivation of Newton’s method, to determine the formula for xi+1, the function f(x) is approximated using a first-order T
dimaraw [331]

Answer:

Part A.

Let f(x) = 0;

suppose x= a+h

such that f(x) =f(a+h) = 0

By second order Taylor approximation, we get

f(a) + hf'±(a) + \frac{h^{2} }{2!}f''(a) = 0

h = \frac{-f'(a) }{f''(a)} ± \frac{\sqrt[]{(f'(a))^{2}-2f(a)f''(a) } }{f''(a)}

So, we get the succeeding equation for Newton's method as

x_{i+1} = x_{i} + \frac{1}{f''x_{i}}  [-f'(x_{i}) ± \sqrt{f(x_{i})^{2}-2fx_{i}f''x_{i} } ]

Part B.

It is evident that Newton's method fails in two cases, as:

1.  if f''(x) = 0

2. if f'(x)² is less than 2f(x)f''(x)    

Part C.

In case  x_{i+1} is close to x_{i}, the choice that shouldbe made instead of ± in part A is:

f'(x) = \sqrt{f'(x)^{2} - 2f(x)f''(x)}  ⇔ x_{i+1} = x_{i}

Part D.

As given x_{i+1} = x_{i} = h

or                 h = x_{i+1} - x_{i}

We get,

f(a) + hf'(a) +(h²/2)f''(a) = 0

or h² = -hf(a)/f'(a)

Also,             (x_{i+1}-x_{i})² = -(x_{i+1}-x_{i})(f(x_{i})/f'(x_{i}))

So,                f(a) + hf'(a) - (f''(a)/2)(hf(a)/f'(a)) = 0

It becomes   h = -f(a)/f'(a) + (h/2)[f''(a)f(a)/(f(a))²]

Also,             x_{i+1} = x_{i} -f(x_{i})/f'(x_{i}) + [(x_{i+1} - x_{i})f''(x_{i})f(x_{i})]/[2(f'(x_{i}))²]

6 0
3 years ago
Show work answer quick will give thank you's etc.
forsale [732]

Answer:

f(3) = -11

Step-by-step explanation:

f(3) means you sub the value that is inside into x

f(3) = -3(3) - 2

     = -9 - 2

     = -11

7 0
3 years ago
What is 60000 x 1000?
IrinaK [193]
The answer is 60000000
4 0
3 years ago
Read 2 more answers
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