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EleoNora [17]
3 years ago
11

F K = {(x, y) | x - y = 5}, is Set K a function?

Mathematics
1 answer:
muminat3 years ago
3 0

Answer:

Yes, because the linear function  x - y = 5 is a function

Step-by-step explanation:

x - y = 5  can look like   y = x - 5  with slope 1 and y-intercept -5

so this is a function  which makes set K a function.

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Answer:

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Step-by-step explanation:

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I need some help with this calculus 1 question.
Cerrena [4.2K]

Answer:

(a) f'(1)=-4

(b) y+4x-4=0

Step-by-step explanation:

<u>Tangent Line of a Function</u>

Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.

We are given

y=x-x^5

The derivative is

y'=1-5x^4

(a) The slope of the tangent line at (1,0) is

f'(1)=1-5\cdot 1^4=-4

f'(1)=-4

(b) The equation of the tangent line can be found with the general formula of the line:

y-y_o=m(x-x_o)

Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus

y-0=-4(x-1)

Or, equivalently

y+4x-4=0

3 0
3 years ago
two positive integers are 3 units apart on a number line. their product is 180. wich equation can be used to solve for m, the gr
3241004551 [841]

Answer:

m^2-3m-180=0

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Step-by-step explanation:

greater integer = m

small integer = n

we know that m = n+3 or n = m-3

we also know that n*m = 180

replace n for m-3

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or

m^2-3m-180 = 0

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Although the problem gives the value of b, it's really not needed.

Opposite sides of a parallelogram are congruent, so we just need to calculate: 2a + 2c = P

Plug the given values in:

2 * 7.6 + 2 * 14.6 = 44.4 units, or choice (C).

4 0
3 years ago
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