You are given space that limit as h rightwards arrow 0 of fraction numerator g (3 + h) - g (3)/h = 7 and g (3) = 9. Find m and b so that the tangent space line of g (x) at x = 3, y = m x +b.

Answers

Answer 1

Answer:

m = 7 and b = -12 therefore y = 7x - 12

Step-by-step explanation:

From the question we are given the first derivative of the function g to be 7, and it is known that the first derivative of a function is the slope, therefore the slope, m = 7.

Since we are looking for 'b' at x = 3 and we know that our slope is 7, we have:

g(3) = 7*3 + b. We are given g(3) = 9 so we have:

9 = 21 + b and b = -12.

Therefore, m = 7 and b = -12 and the equation of the line is y = 7x - 12.


Related Questions

HELP PLEASE , ASAP ; 100 POINTS

Answers

Answer:

icoles

Step-by-step explanation:

Answer:

It's 31x

Step-by-step explanation:

Add the numbers up.

how do you find max value in a quadratic function?

Answers

Answer:

Using the equation y = ax2 + bx + c.

Step-by-step explanation:

A line passes through the points (1,-6) and (4,3)

What is the y-intercept of this line​

Answers

Answer:

The Y-Intercept is -9

Step-by-step explanation:

Distance between x's (Δx)  3

Distance between y's (Δy)  9

What are some ways we can tell that 7x + 2 is not equivalent to 9x?

Answers

Answer:

To determine if two fractions are equivalent, cross multiply. To cross multiply, you multiple the numerator of the first fraction by the denominator of the second. Then you multiply the denominator of the first fraction by the numerator of the second. If the two numbers are equal, the fractions are equivalent

Step-by-step explanation:

write the equation to solve for x 3x + 21 6x - 60 please help i was given 3x+21=6x-60 thats wrong can someone please help richard u are amazing wish i could message u u can me​

Answers

Answer:

3x + 21 = 6x - 60

Step-by-step explanation:

parallel angles are equal

3x + 21 = 6x - 60

combine similar terms:

3x - 6x = -60 - 21

-3x = -81

x = 81/3

x = 27

now, plugin the value of x=27 back into the equation to get the angle:

= 3x + 21

= 3(27) + 21

= 102

= 6x - 60

= 6(27) - 60

= 102

as you noticed, both values are equal 102 = 102 because its a parallel angles

 

so the equation is 3x + 21 = 6x - 60

================================

i am pretty sure its correct.

Laura deposits $2,000 in an account that has an annual interest rate of 1.96%,
compounded monthly. How much interest will she earn at the end of 1 month?
Round to the nearest cent. *

Answers

Answer:

$3.23

Step-by-step explanation:

Given that,

Principal, P = $2,000

Rate of interest, r = 1.96%

Tie, n = 1 month = (1/12) years

The formula of compound interest is given by :

[tex]CI=P[(1+\dfrac{R}{100})^n-1]\\\\CI=2000\times [(1+\dfrac{1.96}{100})^{1/12}-1]\\\\CI=3.23[/tex]

So, the interest will she earn at the end of 1 month is $3.23

The amount she earns at the end of 1 month is 200,326cents

The formula for calculating the compound amount is given as:

A  = P(1 + r/n)^nt

r is the raten is the compounding timet is the time

A = 2000(1 + 0.0196/12)^(12*1/12)

A = 2000 (1+0.00163)^1

A = 2000(1.00163)

A = $2,003.26

Hence the amount she earns at the end of 1 month is 200,326cents

Learn more on compound interest here: https://brainly.com/question/24924853

Please help 100 points and will give Brainliest

Answers

This is a higher grade than mine i dont know sorry :(

Answer:

I think I know what the answers are but I can't be sure.

Step-by-step explanation:

01 L1 - Perimeter Word Problems
Cooper, Sha Niya
11
1 of
A piece of Plexiglas has a width which is 5 centimeters shorter than its length. What represents the area of the Plexiglas, in terms of its length (L)?

Answers

Answer: x*(x-5)

Step-by-step explanation:

Plexiglass is a cuboid

which means that the area would be l*w

in the question it states that the width is 5 cm shorter than the length

since we dont know the values

we represent them as x

so using l*w

we write x*(x-5)

What are the solutions of this quadratic equation?
x2 − 10x = -34

Answers

Here it is, step by step:

x^2 - 10x = -34
x^2 - 10x + 34 = 0
We cannot easily factor anything, so we resort to the quadratic equation. The work is attached as an image.

The roots of the equation are imaginary numbers, 5+6i, 5-6i.

What is a Quadratic Equation?

A quadratic equation is what can be written in the form of ax²+bx+c=0

The quadratic equation is

x² -10x = -34

x² -10x +34 = 0

The roots formula for a quadratic equation is given by

[tex]x = \dfrac{ -b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

Here a = 1

b = -10

c =  34

The roots of the equation are

[tex]x = \dfrac{ 10 \pm \sqrt{(-10)^2 -4*34}}{2}[/tex]

[tex]\rm x = \dfrac{ 10 \pm \sqrt{-36}}{2}\\\\\\x = 5 \pm 6i[/tex]

To know more about Quadratic Equation

https://brainly.com/question/2263981

#SPJ5

plzplz help me plz i promise i will mark brainliest i need help​

Answers

I am pretty sure it’s B I am sorry if it’s wrong

Answer: A discrete

Step-by-step explanation:

someone please answer!

Answers

Answer:

m=1/2

Step-by-step explanation:

y1= 1

y2=6

x1= -10

x2-0

m= slope

m= y2-y1/x2-x1

m=6-1/0 - - 10

m= 6-1/0+10

m=5/10

m=1/2

The total length of three boards is 7/8 of a yard. The length of two of the boards are 1/4 of a yard and 3/16 of a yard. What is the length of the third board.

Answers

Answer:

7/16 of a yard

Step-by-step explanation:

Let's put the boards to the same denominator so it's easier.

Let's go with a denominator of 16

1/4= 4/16

7/8= 14/16

3/16 stays the same.

So, 4/16+3/16+x=14/16

7/16+x=14/16

x=7/16 of a yard, the length of the 3rd board.

PLEASE HELPP

What does it mean for angles to be supplementary and complementary?

Answers

Answer:

A complementary angle is an angle that adds up to 90 degrees. supplementary angles add up to 180 degrees. So a supplementary angle lies on a single, straight line, and a complementary angle is a right angle.

Step-by-step explanation:

hopes this helps

Answer:

Step-by-step explanation:

Supplementary is when all the angles add up to 180. Complementary is when all the angles add up to 90.

Find the y intercept of the line 4y=-6x+8

Answers

Answer:

8

Step-by-step explanation:

The Y intercept is 8.

Y=3x/2 +2
Slope -3/2
Intercept (0,2)

9. A company is looking to hire a painter. One painter states that their fee can be determined by
using the expression 50x + 100 where x is the number of hours it takes to paint. A second painter
states that their fees can be determined by using the expression 40x + 125. The company wants
to know when the fee would be the same for each painter. What number of hours makes the
equation 50x + 100 = 40x + 150 true?

Answers

i would love if you give me points pls but the answer is 12

Need help with these find x and y of this figure

Answers

Just follow the rules that you learn. You need those for the SOL

Juan's grandmother left him 40 shares of Stock A and 150 shares of Stock B. How
much will he get if stock A sells for $225 a share and stock B sells for $27.25 a share?

Answers

Answer:

  $13,087.50

Step-by-step explanation:

The sale of the 40 shares of stock A at $225 per share will get Juan ...

  40 · $225 = $9000

The sale of the 150 shares of stock B at $27.25 per share will get Juan ...

  150 · $27.25 = $4087.50

So, the total Juan will receive from the sale of the stocks will be ...

  $9000.00 +4087.50 = $13,087.50

If North high school has 5000 students and south high school has 1 tenth as many how many students dose south high have?

Answers

Just divid 0.10 by 5000

Solve for x: 3x − 24 = 81

Answers

Answer:

34

Step-by-step explanation:

3x   -24   =81

      +24  +24

3x            102

/3              /3

x       =      34

Answer:

Your answer would be 105/3 or one hundred five over three.

Step-by-step explanation:

I took the test and got it correct. :)

Which choice represents 673.983 rounded to nearest hundredth

Answers

Answer: 673.98

Step-by-step explanation: The 8 is the hundredth place, and anything less than five you don't round up

ANSWER ASAP ILL GIVE A LOT OF POINTS

Answers

Answer:

addition or subtraction (1.)

Step-by-step explanation:

Answer:

Divide both sides by a constant to simplify the equation.  Thus the second option.

Step-by-step explanation:

Solve for x:

9 - 10 x = -1

Hint: | Isolate terms with x to the left hand side.

Subtract 9 from both sides:

(9 - 9) - 10 x = -9 - 1

Hint: | Look for the difference of two identical terms.

9 - 9 = 0:

-10 x = -9 - 1

Hint: | Evaluate -9 - 1.

-9 - 1 = -10:

-10 x = -10

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -10 x = -10 by -10:

(-10 x)/(-10) = (-10)/(-10)

Hint: | Any nonzero number divided by itself is one.

(-10)/(-10) = 1:

x = (-10)/(-10)

Hint: | Any nonzero number divided by itself is one.

(-10)/(-10) = 1:

Answer:  x = 1

Complete the following sentence.

When a system of measurement is based on units of ten, it is called a________ system.

Answers

Answer:

it is called a decimal system

Step-by-step explanation:

.

Answer:

Decimal system

State the rang of relation ?
PLSS HELP:(

Answers

Answer:

Range is the Y values

{1,-5, 7, 0}

I NEED A SERIOUS ANSWER. THANK YOU!!

Answers

I really hope this helped you. If it did, could u plz mark me as brainliest?

Which one of these points is a solution to y<-3x - 2?
A. (0, 2)
B. (0.4)
C. (6,4)
D. (0-10)

Answers

Answer:

c

Step-by-step explanation:

How to find a rational function given 2 vertical asymptotes and an X intercept?

It’s question 20 by the way

Answers

Answer:

[tex]\frac{x-4}{(x+3)(x-5)}[/tex]

Step-by-step explanation:

Since the rational function has vertical asymptotes at -3, and 5, the denominator must equal 0 when x is -3 or 5. Therefore, the denominator must be:

(x+3)(x-5)

Now, to make the x-intercept at (4, 0), the numerator must be equal to 0 when x is 4. Therefore, the numerator must be:

x-4

Therefore, that rational function is:

[tex]\frac{x-4}{(x+3)(x-5_}[/tex]

The visa card is giving 5% cash back on all grocery and restaurant purchases, and 1% for all other purchases. You charge $2,000 a month and 1/4 is for grocery and restaurants. Use this information to find your monthly cash back amount.

Answers

2000 / 4 = 500
500 + 5% = 25
1500 + 1%= 15
Total cash back = 40$

Step-by-step explanation:

Total cashback from grocery and restaurant purchases = 500 * 0.05 = 25$

Total cashback from other purchases

= 1500 * 0.01

= 15$

Total cashback = $ 40

Write the b expanded form of 0.031 with fractions

Answers

Answer:

31/1000

Step-by-step explanation:

Equivalent fraction would be 31/1000

Approximate value would be 4/129 or 3/97

a helicopter is 14 meters above a canyon it goes down 20 meters then up 5 write a subtraction sentence, how do you know your answer is correct?​

Answers

Answer:

14 - 20 + 5

14 - 15 = -1

-1

If you take 14 meters and you go down 20 meters that is 14 - 20

Then, if you go up 5 meters, that is 14 - 20 + 5.

So simplify 14 - 20 + 5.

Simplified: 14 - 15

So the answer is -1 meter

the square below represents one whole. express the shaded area as a fraction, a decimal,and a percent of the whole

Answers

Answer:

You got to show the square… LOL

Step-by-step explanation:

Other Questions
Match these terms with their definitions 1) What atoms are found in proteins Name the opposite rays:C A T Which phrase describes how Jupiter and Saturn are similar?visible stormsslow rotationsmany moonsfast revolutions What is the author of this letter trying to accomplish by writing this letter? A. She wants to persuade the audience to write their lawmakers about the problem. B. She wants to persuade the editor that lawmakers are to blame for illegal bootlegging. C. She wants to persuade the editor to write a piece on motor vehicle theft. D. She wants to persuade the audience that laws on vehicle theft are too lenient.Here's the text:Dear Editor, Should thieves be treated differently according to their crimes? I dont understand why state senators always seem to pass laws that help the rich get richer instead of helping those who really need help. The FBI says that this year, more than 20,000 people in this city will have their cars broken into or stolen. They will suffer thousands of dollars in damages, not to mention mental anguish and the loss of items that hold sentimental value. When law enforcement officers from across the state lobbied behind a bill to make these kinds of break-ins a felony, the lawmakers couldnt see past how much it might cost to lock the criminals up. Then the Senate turns around and approves a bill that fights illegal copying of CDs and DVDS. Although both these crimes are wrong, which one hurts the average person more? Whom are our state congress people looking out for?Sincerely,Bettina Suleman someone help me with media arts please, drop ur email There are 72 eight grade students and 84 sixth grade students participating in the Fun Run competition. The students will be put into groups among their own grade and into the largest possible equal groups with no students left over. How many students will be in each group? Group of answer choices What's the slope and y-intercept of the 2 points: (1, -7) (-5, 0) Whats 1+1=A.4B.3C.2D.1 Which of these features are part of Athenian culture? Check all that apply. What is the measure for the following angle? This graph shows the solution to which inequality? I really need some help, I forgot what answer wasWhich of the following completes this list of narrative text elements? Setting, characters, a problem, and a ____. Conflict Narrator Structure Resolution I NEED HELP PLEASE HELP ME OUT IF YOU CAN Please help i will give you brainlest what was a Series of laws passed by England in 1651 stating that English trade must be transported on English ships. The sodium-potassium pump is a specialized type of transport protein found in your cell membranes. The pump'sjob is to move potassium ions into the cell inthe direction of low to high concentration. In order for this to happen, the cell uses energyto operate the pump. This is an important step in the function of ournerve cells. What type of transport does the sodium-potassium pump use?A. DiffusionB. Active Transport,C. osmosisD. Passive Transport Dos puntos pueden determinar un segmento? Please help this test has to be done TODAY) what are socialism, communitsm and capitalism A) philosophies develop in ancient greece and romeB) methods of organizing industry and interational trade C) economic and political theories that developed to cope with the great depressionD) economics and political theories that developed in the 18th and 19th centuries If the density of one of the colored solutions was 1.06 g/ml and the volume of the solution was 2500 ml, what would be the mass of the solution?