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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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Which statements are TRUE? Select all that apply. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64
valentinak56 [21]

Answer: See explanation

Step-by-step explanation:

a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.

Speed = Distance / Time

= 112 / 1 45/60

= 112 / 1 3/4

= 112 × 4/7

= 64 miles per hour.

TRUE

b . If 6 pens cost $7.74, then 7 pens cost $9.03.

Cost of one pen = $7.74/6 = $1.29

Cost of 7 pens = $1.29 × 7 = $9.03

TRUE

c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.

Speed = Distance / Time

Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes

FALSE

d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.

Cost of one can = $38.59 / 17 = $2.27

Cost of 3 cans = $2.27 × 3 = $6.81

TRUE

e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

A dozen = 12

2 dozens = 12 × 2 = 24

Cost of one egg = $8.40 / 24 = 0.35 = 35 cents

FALSE

8 0
3 years ago
An icecream shop charges $3.39 for a dish of ice cream. A costomer can also order toppings for $0.59 each. If x represents the n
Leya [2.2K]

Answer:

3.39 + 0.59x

Step-by-step explanation:

Cost of a dish of ice cream = $3.39

Cost of toppings = $0.59 each

x = number of toppings

which expression can be used to determine the total charge in dollars, for a dish of ice cream with x toppings

Total charge for a dish of ice cream with x toppings = 3.39 + 0.59x

The expression is 3.39 + 0.59x

5 0
3 years ago
The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. Total sales were $1050. How
S_A_V [24]
We know the total tickets sold = 400. Let x be the number of adult tickets sold. That means 400 - x is the number of student tickets. The revenue from adult tickets will be $3 * x, which we can call 3x. The revenue from student ticks will be $2 * (400 - x), or 800 - 2x. The total revenue is $1050, so that means: 3x + (800 - 2x) = 1050. Removing the parentheses: 3x + 800 - 2x = 1050 Subtracting 800 from both sides: 3x - 2x = 250 Simplifying the left side: x = 250, which is the number of adult tickets. 400-x = student tickets = 400-250 = 150. ALWAYS check! In this case, check the revenue: 3x = 3(250) = 750 2(150) = 300 750 + 300 = 1050. Check!
5 0
3 years ago
assume the situation can be exposed as a linear cost, find the cost function, fixed cost is $100, 40 items cost 1,200 to produce
alexira [117]
C(x) = 1200(40) + 100
or
       = mx+c
where m = 1200, x = 40, y = 100

hope it helped,
click thx if it did.
7 0
3 years ago
Need help answering these questions need the answers
Vladimir79 [104]

Answer:

The answer to your question is below

Step-by-step explanation:

Number 9.

To find x use the law of sines

                   sin x / 8 = sin 95 / 12

Solve for sin x

                   sin x = 8 sin 95 / 12

                   sin x = 0.664

                        x = 41.6°

Number 10

To find x use law of cosines

                    x² = 6² + 8² - 2(6)(8)cos100

                    x² = 36 + 64 - 96(-0.174)

                    x² = 100 + 16.67

                    x² = 116.67

                   x = 10.80

5 0
3 years ago
Read 2 more answers
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