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

Cassie has a small cube-shaped box. Its volume is 64 cubic centimeters.
What is the area of one face of the box? Enter your answer in the box.
PLZ HELP DUE IN 5 MINUTES

Answers

Answer:  one face is 16 square inches

Step-by-step explanation:

[tex]\sqrt[3]{64} = 4[/tex]  side length

4 × 4 = 16  the area of one face

Shaun and trudy are selling raffle tickets. So far shaun has sold x tickets. Trudy has sold 3 more tickets than half the number of tickets that shaun sold.what expression represents the number of raffle tickets that shaun and trudy have sold altogether?

Answers

Answer:

x/2 + 3

Step-by-step explanation:

Shaun sold x tickets.

Trudy has sold 3 more tickets than half the number of tickets that Shaun sold.

Half the number Shaun sold is x/2.

3 more than that is x/2 + 3

Answer: x/2 + 3

Answer:

x/2 +3 + x

Step-by-step explanation:

Trudy sold x/2 + 3 tickets compared to shaun. So the total number of tickets they sold overall is x/2 +3 + x.

Find two consecutive whole numbers that 10 lies between

Answers

Answer:

3<√10<4

Step-by-step explanation:

Hope this helps

Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)

Answers

Answer:

3,0

0, -10

Step-by-step explanation:

3,0
-0 , 10 that should be it

A segment of a line that has an endpoint and extends infinitely in one direction is a

Answers

that would be a ray because it has a single endpoint and extends infinetly in one direction.

A shoe store has 23 pairs off white tennis shoes out of 90 pairs of shoes. Estimate the percent of white tennis shoes.

Answers

Answer:

percent=25.56%

Step-by-step explanation:

Percentages

To know the percentage of having n elements out of a total of m elements, we calculate the ratio n/m and express the result as a percentage.

The shoe store has 23 pairs of white shoes out of 90 total pairs of shoes. The percent of white tennis shoes is calculated as follows:

[tex]\displaystyle percent= \frac{23}{90}*100\%[/tex]

Operating:

percent=25.56%

Evaluate f(x) = -2x - 5 for x = 3.
A. 11
B. -6
C. -11
D. 1

Answers

Answer:

C. -11

Step-by-step explanation:

f(x) = -2x - 5

Plug the 3 in for x

f(3) = -2(3) - 5

Multiply the -2 and 3

f(3) = -6 - 5

Subtract 5 from -6

f(3) = -11

Answer: C -11

Step-by-step explanation:

Its asking you to solve for f(x) which is Y

Y=-2x-5

X is 3

so replace -2x with 3 but only the x

you should get -23 not negative 23 its more of 2 times 3

then multiply -2 by 3 and get -6

add -6 and -5 to get -11

Hats, T-shirts, and jackets are sold at a rock concert. 3 hats, 2 shirts, and one jacket costs $140. Two hats, two shirts, and 2 jackets cost $170. One hat, 3 shirts, and 2 jackets cost $180. Create a system of 3 equations to model the situation. Assume the price of hats is x, shirts is y and jackets is z.

Answers

Step-by-step explanation:

3x + 2y + z = 140

2x + 2y + 2z = 170

x + 3y + 2z = 180

-4 1/2 divided by 2/3

Answers

Answer:

-4/27

Step-by-step explanation:

first write -4 1/2 as a fraction, which is -9/2. Then you divide by 1/3:

-9/2 / 2/3=

-2/9 * 2/3 =

-4/27

Good luck on your report card!

Mrs. Johnson wants to order pizza for her students. There are 21 students in her class Her goal was for each student to get 1/5 of a pizza. How many pizza's does she need to order?​

Answers

Answer:

5 and she will have 4/5 remaining.

Step-by-step explanation:

If you multiply the 5 slices per pizza by 4 pizza's you would be able to feed 20 students. Since her goal is to make sure EACH student gets 1/5 of a pizza she would need to order another one. So she needs to purchase 5 pizzas and would have 4 slices remaining.

(She could always eat those by herself or give them to me lol)

Hope that helps and have a great day!

Answer:

Mrs. Johnson need to order 5 pizzas.

Step-by-step explanation:

1. If you do 5, 10, 15, 20 that’s four

2. it’s not fair to leave one kid out so she needs to order 5 pizzas

What value of x makes this equation true 5(x-3)=20

Answers

Answer:

X=7

Step-by-step explanation:

5x - 15 =20

5x=15+30

5x=35

Divide by 5

X=7

The beginning balance of Keyshawn's savings account for the month of September was $3900, and it remained this way for the first 11 days of the month. On September 12, Keyshawn made a withdrawal of $700, so his balance changed, and it remained the same for a total of 9 days. On September 20, Keyshawn made a deposit of $1500, so his balance changed again, and it remained the same for a total of 10 days to finish out the month. Keyshawn's savings account has an APR of 3.65%, calculates interest daily, and pays interest at the end of the month. Keyshawn wants to calculate the amount he earned in interest during the month of September.
Part I: What interest rate does Keyshawn's savings account pay per day?
Part II: How much did Keyshawn earn in interest during the first 11 days of September?
Part III: How much did Keyshawn earn in interest during the next 9 days of September?
Part IV: How much did Keyshawn earn in interest during the last 10 days of September?
Part V: How much did Keyshawn earn in interest during the month of September?

Answers

Answer:

1. 3.65%

2. 14,235

3. 49402.75

4. 185,795.04

5. 181,895.0375

Step-by- step explanation:

531.775197122 to the nearest ten thousandth

Answers

Answer: 3266.528

Step-by-step explanation:

The number 531.775197122 is rounded to the nearest ten thousandth place by 531.7752

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Given data ,

Let the number be = A

Let the rounded number be = B

The value of A is given by

A = 531.775197122

Now , the number A can be rounded of to the nearest ten thousandth place by rounding to the nearest 0.0001 or the Ten Thousandths Place

So , the number will be

The 1 in the ten thousandths place rounds up to 2 because the digit to the right in the hundred thousandths place is 9

When the digit to the right is 5 or greater we round away from 0

Therefore , the number 531.775197122 is rounded to 531.7752

Therefore , the value of B is 531.7752 after rounding up

Hence , The number 531.775197122 is rounded to the nearest ten thousandth place by 531.7752

To learn more about rounding up of numbers click :

https://brainly.com/question/4896544

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add the following binary numbers 101 and 111 in base 2​

Answers

Answer:

1100

Step-by-step explanation:

Number 1 in the decimal system

1012 = 510

Number 2 in the decimal system

1112 = 710

Their sum

5 + 7 = 12

Result in binary form

1210 = 11002

Hope it's the right answer and hope it will help you

405,000,000−1.7×10^8

Answers

Answer: 235,000,000

Step-by-step explanation:

-16+2x= -64 what is the value of x

Answers

Answer:

add 16 to both sides so it would 2x=-48 then you would divide 2 on both sides so it would be x=-24

Step-by-step explanation:

X=-24

Answer:

-16 + 2x = -64

+16 +16

2x = -48

-48÷2=-24

x = -24

Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen. How many inches of snow will fall in 24 hours if it continues to snow at this rate?
(1 Point)
A)48 inches
B)36 inches
C)28.5 inches
D) 24 inches

Answers

Answer:

B) 36-in

Step-by-step explanation:

i will not bore you with the explanation ;w;

I am really confused by this task..please help

Answers

Answer:

22

Step-by-step explanation:

2) Use a graph to find the length of DE if D(4, -3) and E(-5, -7).​

Answers

Answer:

The answer rounded to the nearest tenth is 9.8.

Step-by-step explanation:

The answer itself is really long so I rounded to the tenths place.

Lily paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?

Answers

Answer:

Step-by-step explanation:

18.60$

I believe is your answer ...

$18.59

19.16 x .03 = .5748
19.16 - .5748 = 18.5852

what is the answer for​

Answers

Answer:

3: 38

4: 36

Step-by-step explanation:

What is the slope in the picture?
what’s the slope?

Answers

the slope in the picture is zero

Answer:

Step-by-step explanation:

Either zero or undefined but I'm sure it's zero

Mohammed wrote down all the money coming in and out for the month. Select all the expenses

Answers

What are the answer choices

Which table does NOT represent a function please hurry it’s urgent Thank you
A) a
B) b
C) c
D) d

Answers

I think it is C sorry if i am wrong but i am confident

PLEASE HELP IT'S DUE NOW!!! Rob deposited 22% of his paycheck into his savings account. If he deposited $21.67, what was the amount of his paycheck?

Please include all of the work as well as the answer!!! Thank you so much!!

Answers

Answer:

56.33

Step-by-step explanation:

because if 78+22=100 then you divide 78 by

21.67 which gets you the answer 56.33

a withdrawal of $225

Answers

Answer:

ok bro

Step-by-step explanation:

Solve. -23 = -2a -10 + a

Answers

Answer:

13

Step-by-step explanation:

1. Collect like-terms

-23=-a-10

2.Isolate variable

-13=-a

a=13

Answer:

A=13

Step-by-step explanation:

-23=-2a-10+a

add 10 to -23 which is now

-13=-2a+a

now add -2a and a together to get -1a

-13=-1a

divide -1 into both sides to get

13=a

find the standard deviation

Answers

Answer:

d. 7.3

Step-by-step explanation:

To get the standard deviation of a population of data, first take the sum of all the values, and divide it by the count to get the mean (average).

75 [1] + 90 [2] + 75 [3] + 80 [4] + 90 [5] + 80 [6] + 100 [7] + 85 [8] + 80 [9] + 85 [10] = 840.

Then divide by the count which is 10.

840/10 = 84 [This is the mean of the data.]

Then subtract every point of data from the mean and square it:

(75-84)^2 + (90-84)^2 + (75-84)^2 + (80-84)^2 + (90-84)^2 + (80-84)^2 + (100-84)^2 + (85-84)^2 + (80-84)^2 + (85-84)^2 = 81 + 36 + 81 + 16 + 36 + 16 + 256 + 1 + 16 + 1 = 540.

Then to get the variance, divide this all by the count.

540/10 = 54 [This is the variance of the data.]

Then all you have to do to get the standard deviation is take the square root of the variance.

√54 = 3√6 ≈ 7.3 [This is the standard deviation of the data.]

3.2x-1.7x+5.5=10

How dI yoI solve this

Answers

Answer is x=3 because you collect the like terms move the constant to the right calculate it then divide both sides

The value of x is 0.918 for the equation 3.2x - 1.7x + 5.5 = 10.

To determine this equation 3.2x - 1.7x + 5.5 = 10,

3.2x - 1.7x + 5.5 = 10

Subtract 10 on both side,

3.2x - 1.7x + 5.5 - 10 = 10 - 10

3.2x - 1.7x + 4.5 = 0

Subtract 4.5 on both side,

3.2x - 1.7x = -4.5.

4.9x = -4.5

x = 0.918.

Therefore, the value of x is 0.918.

Learn more about equation here:

https://brainly.com/question/40831

#SPJ6

(5+3) • 5-3/8-3•2 help me

Answers

Answer:

79.25

Step-by-step explanation:

8*5=40

40-3/8=39.625

39.625*2=79.25

Hope this helps

Here you go 8 is the answer and in blue I showed you how I got certain numbers
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