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3 years ago

Please help me with this AP Calculus question!!

Mathematics

1 answer:

Temka [501]3 years ago

7 0

9514 1404 393

Answer:

B. 3

Step-by-step explanation:

If all you want is a numerical result, sometimes a graphing calculator can provide that easily. The attachment shows it calculates the slope at x=4 to be 3.

dy/dx = 3 at x = 4

The derivative of the expression can be found from the quotient formula:

d(u/v) = (du·v -u·dv)/v²

y' = ((x -2)(2x -7) -(x^2 -7x +2)(1))/(x -2)^2

= (2x^2 -11x +14 -x^2 +7x -2)/(x -2)^2

= (x^2 -4x +12)/(x -2)^2

= ((x -4)x +12)/(x -2)^2

Then for x=4, we have ...

y' = 12/4 = 3

dy/dx = 3 at x = 4

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HELP ME! In a complete sentence, describe the relationship between the three angles in the diagram below. Write and solve an equ

AlexFokin [52]

Answer:

b = 17

∠QPS = 124°

∠SPT = 17°

∠TPR = 39°

Step-by-step explanation:

The sum of the three angles shown is a linear angle, with a measure of 180°.

This fact can be used to write an equation:

(8b -12)° +b° +(2b+5)° = 180°

11b -7 = 180

11b = 187

b = 17

8b -12 = 8(17) -12 = 124

2b +5 = 2(17) +5 = 39

The value of b is 17.

The angle measures are ...

∠QPS = 124°

∠SPT = 17°

∠TPR = 39°

4 0

3 years ago

Which is the correct answer and pls explain why

Elina [12.6K]

I think n2+2
and i don’t really know how to explain

7 0

3 years ago

A dog and a cat are 200 meters apart when they see each other. The dog can run at a speed of 30 m/sec, while the cat can run at

masha68 [24]

Answer:

The dog will catch the cat at 33.33 sec

Step-by-step explanation:

Let

x------> distance the cat runs before being caught by the dog,

Remember that

The speed is equal to divide the distance by the time

v=d/t

solve for t

t=d/v

equate the time

x/24=(200+x)/30

30x=24(200+x)

30x=4,800+24x

30x-24x=4,800

x=4,800/6=800 m

t=d/v=800/24=33.33 sec

t=(800+200)/30=1,000/30=33.33 sec

4 0

3 years ago

Read 2 more answers

Determine the value of x, using the following transversal. The value of x is

GuDViN [60]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's find the value of x :

According to given picture, the angles (x + 75)° and (x + 125)° forms Co interior angle pair.

so,

$x + 75 + x + 125 = 180$

$2x + 200 = 180$

$2x = 180 - 200$

$2x = - 20$

$x = - 20 \div 2$

$x = - 10$

hence, value of x = -10°

7 0

3 years ago

14.4 A Book and a Cake A book costs $45. Sales tax on the book is 7%. Write two different expressions that represent the final c

snow_tiger [21]

Answer: 1. $45*1.07 | $45(1.07) 2. (0.85)*32 represent the final price of the cake in dollars because (0.85) is the 15% off in decimals.

Step-by-step explanation:

1 if you multiply 45 by 1.07 it will be 48.15 and that's the final cost of the book, same with $45(1.07) is just another way to represent the multiplication.

2 As I said the 0.85 represent the 15% off, and when you multiply it will be less.

3 0

3 years ago