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Alexxandr [17]
3 years ago
6

In his coin box , Brian has 12 fewer nickels than dimes. The value of his nickels and dimes is 2.40. Determine the exact number

of nickels and dimes Brian has in his possession
Mathematics
1 answer:
swat323 years ago
5 0

Answer:

There are 8 nickels, and 20 dimes.

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The diagonals of an isosceles trapezoid are 3x + 7 and 5x – 11. What is the value of x?
Alja [10]
In a trapazoid the diagonals are the same so therefore the two equations equal echother

3x+7=5x-11  solve for x by combining like terms

18=2x  then divide to unto multiplication

9=x

9 is the value of x

I hope I've helped!
7 0
3 years ago
Read 2 more answers
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
I need help with this question
katrin [286]
I’m pretty sure it would be C
5 0
3 years ago
Given f(x)=2x+1 and g(x)=7-x. Find g(f(x)).
Darina [25.2K]

Answer:

f(g(x)) = 2(7 - x) + 1

Step-by-step explanation:

f(x) = 2x + 1

g(x) = 7 - x

The question in the picture itself says to find f(g(x)) so i'll find that instead

f(g(x)) = 2(7 - x) + 1

f(g(x)) = 14 - 2x + 1

f(g(x)) = -2x + 15

6 0
2 years ago
I need help ASAP plzzzzzzz
Vesnalui [34]
The awnser is -1 3/10
6 0
3 years ago
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