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Maksim231197 [3]
3 years ago
6

Use The four step process to find the slope of the tangent line to the graph of the given function at any point. ( simplify your

answer is completely)
F(x)= 8x^2 +3x

I’ve been trying to do this problem for 20 minutes, please help
Mathematics
1 answer:
hodyreva [135]3 years ago
3 0

Answer:

The answer to your question is: 16x + 3

Step-by-step explanation:

Step 1 :      f(x) = 8x² + 3x

                f(x +h) =  8(x + h)² + 3( x + h)

                f(x + h) = 8( x² + 2xh + h²) + 3( x + h)

                f (x + h) = 8x² + 16xh + 8h² + 3x + 3h

Step 2 f(x+h) - f(x) =  8x² + 16xh + 8h² + 3x + 3h - ( 8x² + 3x)

                              = 8x² + 16xh + 8h² + 3x + 3h - 8x² -3x

                              = 16xh + 8h² + 3 h

Step 3 f(x + h) - f(x)/ h = h(16x + 8h + 3) /h

                                    = 16x + 8h + 3

Step 4 lim  f(x + h) - f(x)/ h = lim 16x + 8h + 3  = lim 16x + 8(0) + 3 = 16x + 3

        h ⇒0                           h ⇒0                     h ⇒0

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I really need help with this equation as soon as possible :D
viktelen [127]
The subtraction sign in front of the second set of parenthesis changes the signs on the terms inside those parenthesis.  So this could be rewritten as  x-3x^4+2x^2+x^3-4x^6.  None of the exponents on the x are the same, so we will just express it in terms of descending powers of x.   -4x^6-3x^4+x^3+2x^2+x.   This is also the same as  4x^6+3x^4-x^3-2x^2-x  if you don't like to start with a negative.  Either one is correct.
7 0
3 years ago
Find the value of the trigonometric ratio, sin C.
iogann1982 [59]

Answer:

The answer is option C

Step-by-step explanation:

sin C = opposite / hypotenuse

the opposite is 40

the Hypotenuse is 50

so

sin C = 40/50 = 4/5

Hope this helps you

3 0
3 years ago
What is the solution to the system of equations?
natka813 [3]

Answer:

Step-by-step explanation:

There is an error in the question. The table does not show two linear functions.  y₁ is a linear function, but   y₂ is not a straight line. It makes a bend at (-6,1).

Line 1 goes through (-12,-3) and (0,5).

slope  = (5-(-3))/(0-(-12)) = 2/3

y-intercept = 5

y₁ = (2/3)x + 5

Line 2 goes through (-12,-2) and (-6,1).

slope = (1-(-2))/(-6-(-12)) = 1/2

y₂ = (1/2)x + 4

(2/3)x + 5 = (1/2)x + 4

x = -6

y = (2/3)x + 5 = 1

Solution: (-6,1)

3 0
3 years ago
Help me please !!!!!!
PilotLPTM [1.2K]
The correct answer is B. x is greater than -2.

7 0
3 years ago
PLEASE HELP!!
beks73 [17]
<span>Let x = the width
:
It says,"The length of a rectangle is 4 less than 3 times the width." write that as:
L = 3x - 4
:
If the perimeter is 40, find the dimensions of the rectangle.
:
We know: 2L + 2W = 40
:
Substitute (3x-4) for L and x for W
2(3x-4) + 2x = 40
:
6x - 8 + 2x = 40; Multiplied what's inside the brackets
:
6x + 2x = 40 + 8; do some basic algebra to find x; (added 8 to both sides)

:
8x = 48
:
x = 48/8
:
x = 6 which is the width
:
It said that L = 3x - 4, therefore:
L = 3(6) - 4
L = 18 - 4
L = 14; is the length
:
Check our solutions in the perimeter:
2(14) + 2(6) =
28 + 12 = 40</span>
8 0
3 years ago
Read 2 more answers
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