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o-na [289]
3 years ago
14

PLEASE HELP ALGEBRA 1 QUESTION

Mathematics
1 answer:
WITCHER [35]3 years ago
6 0
I think it would be the first answer.

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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:

<u>Step(i)</u>:-

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

<u> Mean Value theorem</u>

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}

<u>Step(ii):</u>-

Given  f(x) = 4x² +4x -3 …(i)

Differentiating equation (i) with respective to 'x'

          f¹(x) = 4(2x) +4(1) = 8x+4

<u>Step(iii)</u>:-

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)

<u>Conclusion</u>:-

The value of c = -0.5∈ (-1,0)

         

<u></u>

8 0
3 years ago
-x &lt; - 29 solve for x
AleksAgata [21]

Answer:

x<29

Step-by-step explanation:

divide both sides by -1 since x cannot be negative

4 0
3 years ago
Plssss helppp meeeee​
saw5 [17]

Answer:

the answer should be 152.6 ! just moving the decimal over to the left!!

8 0
2 years ago
What is the answer to y=3x-1/5
Aliun [14]
Standard form: -3x +5y= -1
7 0
3 years ago
Which of these statements is true?
Snezhnost [94]

Answer:

C

Step-by-step explanation:

7 0
2 years ago
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