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vaieri [72.5K]
3 years ago
6

The horizontal change between 2 points

Mathematics
2 answers:
Mamont248 [21]3 years ago
7 0

Answer:

slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run.

Step-by-step explanation:

To know the horizontal change between two points you need to know the two points.

Anarel [89]3 years ago
4 0

Answer:

slope is the ratio of the vertical and horizontal changes between two points on a surface or a line.

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How many numbers of possible live card hands (hands in five-card poker) drawn without replacement from a standard deck of 52 pla
makkiz [27]

The combination shows that the numbers of possible live card hands drawn without replacement from a standard deck of 52 playing cards is 2,598,960.

<h3>How to explain the information?</h3>

A permutation is the act of arranging the objects or numbers in order while combinations are the way of selecting the objects from a group of objects or collection such that the order of the objects does not matter.

Since the order does not matter, it means that each hand is a combination of five cards from a total of 52.

We use the formula for combinations and see that there are a total number of C( 52, 5 ) = 2,598,960 possible hands.

Learn more about permutations and combination on:

brainly.com/question/4658834

#SPJ1

3 0
2 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
During a game, a basketball team scored 38 points worth of two-pointers, 33
Snezhnost [94]

Answer:

185 Points

Step-by-step explanation:

38 x 2 = 76

33 x 3 = 99

8 x 1 = 8

78 + 99 + 8 = 185

8 0
3 years ago
Read 2 more answers
Hiram earned a score of 83 on his semester algebra test. Ile needs to have a total of at least 180 points from his semester and
I am Lyosha [343]

Answer:

He needs 97 to ensure his A Grade.

7 0
3 years ago
Find the value of expression the a3−3a2+5a−7 by substituting a=3.
8090 [49]

Answer:

21 is answer

Step-by-step explanation:

Find the value of expression the a3−3a2+5a−7 by substituting a=3.

6 0
3 years ago
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