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postnew [5]
2 years ago
12

What is the slope between the points (5,-4) and (-3,4) -1 4 0 1

Mathematics
1 answer:
kumpel [21]2 years ago
6 0

Answer:

The answer is -1.

Step-by-step explanation:

You have to apply gradient formula :

m =  \frac{y2 - y1}{x2 - x1}

So you will have to substitute the coordinates into the equation. Let (x1,y1) be (-3,4) and (x2,y2) be (5,-4) :

m =  \frac{ - 4 - 4}{5 - ( - 3)}

m =  \frac{ - 8}{8}

m =  - 1

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2x^2y^3z^2 · 4xy^4x^2<br><br> Multiply and simplify
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Take out the constants

(2 × 4)x^2xx^2y^3y^4z^2

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3 years ago
Let f:X → Y, where X and Y are the set of all real numbers, and x and h are real numbers.
Shkiper50 [21]

Answer:

a) f(x) = x^2

b) f(x) = x

c) any pair of numbers

Step-by-step explanation:

HI!

a)

an example of this kind of function is f(x) = x^2 because

f(x+h) = (x+h)^2 = x^2 + h^2 + 2 xh = f(x) + f(h) + 2xh

teherfore

f(x+h) ≠ f(x) + f(h)

other example is f(x) = x^n with n a whole number different than one

e.g.

f(x)=x^3

f(x+h) = (x+h)^3 = x^3 + h^3 + 3(x^2 h + x h^2) ≠ x^3 + h^3 = f(x) + f(h)

b)

f(x) = x is a function that actually behaves as indicated

f(x+h) = x + h = f(x) + f(h)

others examples of this kind of fucntion are given by multiplying x by any number:

f(x) = ax;    f(x+h) = a(x+h) = ax + ah = f(x) + f(h)

c)

Any pair of numbers will make f(x+h) = f(x) + f(h), as mentioned in the previous section

lest consider 10 and 5

f(10+5) = 2 *(10+5) = 2*15 = 30

f(10) = 2*10 = 20

f(5) = 2*5 = 10

f(10) + f(5) = 20+10 = 30 = f(10+5)

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