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1 year ago

Find the slope \mathrm{m}m of the line in the graph below. \mathrm{m} =m=

Mathematics

1 answer:

yulyashka [42]1 year ago

5 0

Answer:

$m=4$ or $m=\frac{4}{1}$

Step-by-step explanation:

To find slope we use the slope formula

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

Two points on the line we can classify are (3,4) and (4,8)

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How do you find the value of c that satisfy the equation:

victus00 [196]

Answer:

The value of c = -0.5∈ (-1,0)

Step-by-step explanation:

Step(i):-

Given function f(x) = 4x² +4x -3 on the interval [-1 ,0]

Mean Value theorem

Let 'f' be continuous on [a ,b] and differentiable on (a ,b). The there exists a Point 'c' in (a ,b) such that

$f^{l} (c) = \frac{f(b) -f(a)}{b-a}$

Step(ii):-

Given f(x) = 4x² +4x -3 …(i)

Differentiating equation (i) with respective to 'x'

f¹(x) = 4(2x) +4(1) = 8x+4

Step(iii):-

By using mean value theorem

$f^{l} (c) = \frac{f(0) -f(-1)}{0-(-1)}$

$8c+4 = \frac{-3-(4(-1)^2+4(-1)-3)}{0-(-1)}$

8c+4 = -3-(-3)

8c+4 = 0

8c = -4

$c = \frac{-4}{8} = \frac{-1}{2} = -0.5$

c ∈ (-1,0)

Conclusion:-

The value of c = -0.5∈ (-1,0)

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Find the slope \mathrm{m}m of the line in the graph below. ​ ​ \mathrm{m} =m=

Find the slope \mathrm{m}m of the line in the graph below. \mathrm{m} =m=