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
<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
8c+4 = -3-(-3)
8c+4 = 0
8c = -4
c ∈ (-1,0)
<u>Conclusion</u>:-
The value of c = -0.5∈ (-1,0)
<u></u>
1) x = 5y - 30
2) x = - 1.6y + 3.3
<em>im assuming these are 2 different questions</em>
<h3>
Explanation:</h3><h3>1)</h3>
Start with the equation:
x - 5y= -30
add 5y to both sides:
x = 5y - 30
Your answer is x = 5y - 30
<h3>2)</h3>
Start with the equation:
3x+5y=10
subtract 5y from both sides:
3x = -5y + 10
divide by 3 to get x singular
x = - 1.6y + 3.3
Your answer is x = - 1.6y + 3.3
Hope this helps :)
Answer: 28/r+4
Step-by-step explanation: Divide each term by r + 4 and simplify
Answer:
q=-1
Step-by-step explanation:
.8-.4q=.2q+1.4
-.2q -.2q
.8-.6q=1.4
-.8 -.8
-.6q= 0.6
/-.6 /-.6
q= -1
<2= 30 degrees since its vertical to the 4th angle.
<1=150 degrees
<3=150 degrees
since angle 3 and the 4th angle are supplementary, which means both angles equal 180 degrees, angle 3 equals 150 degrees.
since angle 3 is vertical to angle 1 it's also 150 degrees since they're congruent.
