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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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F(x)=-2x+1; {-2,0,2,4,6} Find the range of the function for the given domain.
3241004551 [841]

Answer:

For the domain indicated, the range is  {-11, -7, -3, 1, 5}

Step-by-step explanation:

Given the indicated domain of f(x) you have to replace the values in the function to find the range (the "y" values of the function).

f(-2) = 5

f(0) = 1

f(2) = -3

f(4) = -7

f(6) = -11.

So the range for this domain is {-11, -7, -3, 1, 5}

4 0
3 years ago
Simplify 3.7x+(0.5-6y)+0.8-(1.7x+1-2.3y)
hammer [34]

Answer:

2x-3.7y+0.3

Simplify the expression.

Step-by-step explanation:

6 0
3 years ago
Hi!
solniwko [45]

Answer:

y = 1x - 4

Step-by-step explanation:

You have to solve for the x intercept on the equation

2x-5y=8\\2x-5(0)=8\\2x=8\\x=4\\(4,0)

That is the x intercept for that equation.

Then solve for the y intercept on the equation

4x-3y=12\\4(0)-3y=12\\-3y=12\\y=-4\\(0,-4)

That is the x intercept for that equation.

Use that to find slope for point slope form

\frac{y_{2}-y_{1}}{x_{2}-_{1}} \\\\\frac{-4-0}{0-4} \\\\\frac{-4}{-4} \\\\1

1 is the slope

and slope makes B the y intercept so the equation is

y = 1x - 4

8 0
3 years ago
Please help me with this math question.
alex41 [277]

Answer:

275 m^3

Step-by-step explanation:

The volume of a triangular pyramid is V=(1/3)Ah, where A is the area of the triangular base and h is the height.

First, let's find A, the area of the base. The area of a triangle is bh/2, where b is the base and h is the height.

In this question, 5 is the base and 15 is the height, so A=5*15/2=75/2.

Now we know A is 75/2, so let's go back to the formula for the volume of a pyramid. We are given h is 22, so

V=(1/3)(75/2)*22=275

5 0
3 years ago
PLEASE HELP IVE BEEN WAITING FOR 3 HOURS AND NO ANSWER
aleksandrvk [35]
This situation is governed by a linear equation:

Total Pay = Base Salary + Commissions, and here that equation is:

Total Pay = $150 + 0.14(Total of sales for the week).

Here, Total Pay = $150 + 0.14($6050) = $150 + $847 = $997
5 0
3 years ago
Read 2 more answers
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