If F(x) = 12x/(3 + x2), find F '(3) and use it to find an equation of the tangent line to the curve y = 12x/(3 + x2) at the point (3, 3).
F '(3) =
y(x) =

Answer:

Step-by-step explanation:

Add up the given equations t eliminate y and solve for x:

Your choice is correct

4

ISNDNDMSLWLWKXDJSNKWKEDLC

Answer:

y = -7

Step-by-step explanation:

LORAN follows an hyperbolic path.

The equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

The coordinates are given as:

[tex]\mathbf{(x,y) = (-60,0)\ (60,0)}[/tex]

The center of the hyperbola  is  

[tex]\mathbf{(h,k) = (0,0)}[/tex]

The distance from the center to the focal points is given as:

[tex]\mathbf{c = 60}[/tex]

Square both sides

[tex]\mathbf{c^2 = 3600}[/tex]

The distance from the receiver to the transmitters  is given as:

[tex]\mathbf{2a = 100}[/tex]

Divide both sides by 2

[tex]\mathbf{a = 50}[/tex]

Square both sides

[tex]\mathbf{a^2 = 2500}[/tex]

We have:

[tex]\mathbf{b^2 = c^2 - a^2}[/tex]

This gives

[tex]\mathbf{b^2 = 3600 - 2500}[/tex]

[tex]\mathbf{b^2 = 1100}[/tex]  

The equation of an hyperbola is:

[tex]\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}[/tex]

So, we have:

[tex]\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}[/tex]

[tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

Hence, the equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

Read more about hyperbolas at:

https://brainly.com/question/15697124

Answer: (a.) +3 meters each second   (b.) +80 Celsius

Step-by-step explanation:

(a.) 18/6 =+3 meters each           (b.) 4*20=+80 Celsius

(b.) 4*every hour=

Answer:

4736

Step-by-step explanation:

1) 100 divided by 5 is 20

2) 20 times 3 is 60

3) 60 times 79 is 4740

4) 4740 subtract from 4 is 4736

5) Answer is 4736

Answer:

4736

Step-by-step explanation:

5*20 = 100

20*3 = 60

60*79 = 4740

4740 - 4 = 4736

Answer:

67/5

Step-by-step explanation:

17 1/5

17x5= 85 + 1= 86/5

3 4/5

3x5=15+4= 19/5

86/5 - 19/5=

86-19= 67/5

hope this helps!

Using the compound interest formula, the amount of money in the man's bank account in the second year is $100352

The compound interest relationship is computed using the relation :

Plugging the values into the formula :

Final amount = 80000(1 + 12%)²

Final amount = 80000(1 + 0.12)²

Final amount = 80000(1.12)²

Final amount = $100352

Therefore, the final amount in the second year is $100352

Learn more : https://brainly.com/question/18112348

Answer:

120ft squared

Step-by-step explanation:

We'll first separate this into 3 rectangles where the height changes.

We then have 3*8*2, 3*7*2, and 3*5*2.

This solves to 48, 42, and 30.

Those added are 120.

Answer:

x=18

Step-by-step explanation:

since x+24 is in parenthesis, we need to distribute 1/2 to all the parts inside the parenthesis.

1/2 * x = 1/2x

1/2 * 24= 12

1/2x+12=21

subtract 12 from both sides

1/2x= 9

divide 1/2 from both sides

x=18

so your answer would be x=18

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\frac{1}{2}(x+24)=21 \rightarrow \frac{1}{2}x + 12 = 21\\\\x = 18[/tex]

»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\frac{1}{2}(x+24) = 21\\\rule{150}{0.5}\\\\\rightarrow \frac{1}{2}*x = \frac{1}{2} \\\\\rightarrow \frac{1}{2} * 24 = 12\\\\\rightarrow \frac{1}{2}x + 12 = 21\\\\\rightarrow \frac{1}{2}x + 12 - 12 = 21 - 12\\\\\rightarrow \frac{1}{2}x = 9\\\\\rightarrow (\frac{1}{2}x)2 = 9 * 2\\\\\rightarrow\boxed{x = 18}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Step-by-step explanation:

1. There are infinite number of lines going from only one point (2, 5)

2. This is a proportional relationship, since line passes through the origin. The slope is -3.

The line B is:

3. Points (-3, -2) and (3, 10)

The slope:

The y - intercept:

The line C is:

4. The rate of change is m = 2.5

The y- intercept:

The line D is:

5. Line E has a slope of 4, no sufficient info to conclude.

6. Line F has m = -3/4 and passes through (8, -1).

The y -intercept is:

The line F is:

7. G is not a linear relationship as the function increases exponentially with common ratio of 3.

Answer:

acoording to the picture given, it is possible be cause there is a multiplication operation before the parenthesis.

Step-by-step explanation:

distribut the 3 to each number in the parenthesis:

(3 * 8) + (3 * 4) = 24 + 12 = 36

Answer:

[tex]15 \times 2.205 = 33.0693 \: lb[/tex]

Unit conversion is a way of converting some common units into another without changing their real value. The Weight of Jackson's backpack is 33.075 pounds.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Since 1 kg is equal to 2.205 pounds. Therefore, the Weight of Jackson's backpack is,

15 kg = 2.205 × 15 kg = 33.075 pounds

Hence, the Weight of Jackson's backpack is 33.075 pounds.

Learn more about Units conversion:

https://brainly.com/question/4736731

#SPJ2

Answer:

Step-by-step explanation:

If divided: 0.38461538461

If percent: 38.4615%.

Brainliest rn:D

The odds of winning the game is [tex]\frac{8}{13}[/tex].

Probability is the measure of happening and non-happening of the outcomes of a random experiment.

The sum of all the probabilities of all the elementary events of an experiment is always 1.

According to the given question.

We have

The probability of losing the game is [tex]\frac{5}{13}[/tex]

Since, we know that the sum of all the probabilities of all elementary events of an experiment is always 1.

Therefore,

Probability of winning the game + Probability of losing the game = 1

⇒ Probability of winning the game + [tex]\frac{5}{13} =1[/tex]

⇒ Probability of winning the game = [tex]1 - \frac{5}{13}[/tex]

⇒ Probability of winning the game = [tex]\frac{13-5}{13}[/tex]

⇒ Probability of winning the game = [tex]\frac{8}{13}[/tex]

Hence, the odds of winning the game is [tex]\frac{8}{13}[/tex].

Find out more information about sum of all the probabilities of an event here:

https://brainly.com/question/24080560

#SPJ3

Answer:

gradient = -1

Step-by-step explanation:

gradient = y2-y1/x2-x1

gradient = -8--2/3--3

gradient = -8+2/3+3

gradient = - 6/6

gradient = -1

Answer:

145.8

Step-by-step explanation:

−4.5 x −6 x 5.4

Answer:

the answer is 145.8

Step-by-step explanation:

sorry if I did it wrong

Step-by-step explanation:

12- 2*6

26- 2*13

gcf =2

the least greatest common factor is 2

Answer:

B.

Step-by-step explanation:

Exponential graphs means that it starts to go up slowly but then goes up faster. A is going down, so that's wrong since the graph needs to go up. The correct answer is B.

Answer:

Step-by-step explanation:

702

Answer:A

Step-by-step explanation:por que se calcula correctamente

Answer:

sure if it is about something i know

Answer:

D) 6.48 x 10⁻³

Step-by-step explanation:

to get an exponent of -3 means you move the decimal point three spaces to the right

2) 8,300,000

3) 970,000

4) 5.01 x 10⁻²  (picture)         5.01 x 10⁻¹ (question)

5) 0.000499

Answer:

10

Step-by-step explanation:

Answer: Its 10, so plot it on 10 in the number line

Step-by-step explanation: Since the subtraction signs cancel out, they make a addition sign. Henceforth its " 3+5+2" which would mean the sum is 10.

Answer:

1st figure out how many feet in 1 yard

Then you can take that number <x>

X x 5

Step-by-step explanation:

Answer:

1.67 yards or 5/3

Step-by-step explanation:

I just looked it up

Answer:

4.00 pls give brainliest

Step-by-step explanation:

Hello turkshcutie11!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Find the value of x.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

It's given that the triangle in the figure is a right triangle (a triangle with one angle as 90°). So, we can use the pythagoras property to solve this question.

__________________

Given sides :-

__________________

Using pythagoras property...

Hypotenuse ² = Base² + Altitude ²

x² = 5² + 3²

x² = 25 + 9

x² = 34

x = √34

x = 5.83 units (1st option).

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

(b) 729

Step-by-step explanation:

9 × 9 × 9 = 9^3 = 729

Thus, 9 is the cube root of 729

Answer: 11/9

Step-by-step explanation:

First, convert two to 18/9. This is still equal to two but this makes it easier to answer the problem, because both of the terms have the same denominator. Now, since both of them have the same denominator, all you need to do is subtract the numerators, and put that over the denominator of 9. 18-7=11. So the answer is 11/9. This is an improper fraction, though you could also make it into a mixed number: 1 and 2/9.

Answer:

11/9

Step-by-step explanation:

Add a one under the 2. So that it becomes 2/1. Now you have the expression, 2/1 - 7/9. To subtract fractions, you need the denominators of the two fractions to be the same. We can put 9 as the common denominator. All you have to do in order for 2/1 to have 9 as its denominator, is to multiply 9 for both the numerator and denominator; 2/1 x 9/9 = 18/9. After that, your new expression would be 18/9 7/9. Just subtract across, 18 - 7 = 11, keep the denominator 9. The answer should be 11/9

Answer:

Answer is C.

Step-by-step explanation: