Find the slope of the line tangent to the curve f(x) = -10x^2 + 8x when x=9

Answers

Answer 1

The tangent line to f(x) at some point x has slope equal to f'(x), so first compute the derivative of f :

f(x) = -10x ² + 8x

f'(x) = -20x + 8

When x = 9, we have

f (9) = -10•9² + 8•9 = -738

f' (9) = -20•9 + 8 = -172

so the slope is -172.

If you also have to find the equation of the tangent line, use the point-slope formula:

y - (-738) = -172 (x - 9)

y = -172x + 810


Related Questions

I need help pleaseee stattt (11 points )

Answers

Answer:

If you were to get a different piece of paper and trace the same shape and flip it over to the same position that one of them is in it will be the exact same measurements!

I need help with mathematics and I have to ask a couple questions about it​

Answers

so please ask question

Answer:

Sure. What are the questions?

Garfield always catches 40% of the total flies that he sees on Monday Garfield saw 60 Total

flies how many flies did he catch

Answers

Answer:

24

Step-by-step explanation:

since 40% of 60 is 24 then the answer is 24 because garfield catches 40% of 60 of the files he sees

What is the value of the expression 24/x when x = 8?

Answers

Answer:

Itd be 3 becaus 24/8 is 3

How do you work this problem? 10x2 +25x

Answers

Answer:

x=-5/2,0

Step-by-step explanation:

It is solved by first factorizing it

10x²+25x=5x(2x+5)=0

Finding the zeros

5x=0x=0/5=0

2x+5=0

x=-5/2

Therefore x is -5/2 or 0

Find the recipricol of -b/3

Answers

Answer:

-0.333333333

Step-by-step explanation:

The Fruity Tooty company claims that the population proportion for each of its five flavors is exactly 20%. Jane counts 92 red candies in a 400-count sample.
what is the value of the z-test statistic? Answer choices are rounded to the hundredths place.

Answers

Answer:

86.96%

Step-by-step explanation:

s2 = a2 / n  

a2 =  4.34782608696 if just 1/1 flavour 400/400 was the case.

We are asked to account for 5 flavours 4.34782608696/5

Z test was  0.86956521739 for red candies

s2 = a2/n

a2 = 0.86956521739/1

s2 = 0.86956521739/1  

s2 = 0.87 hundredth place

Percentage  0.86956521739 x 100 = 86.96% to 100th place

Please I need help!!! The Hiking Club plans to go camping in a State park where the probability of rain on
any given day is 0.18. What is the probability that it will rain on at least four of the
five days they are there? Round your answer to the nearest thousandth.

Answers

Answer:

give me a call when you get a chance can you send me the link to the video is too much for me to do you have a car you have a car you have a car you have a car you have a car you have a car you have a car you have a car you have a car ☺️☺️ good morning ☺️☺️☺️ to be there ☺️☺️☺️ you are teaching until I have a few more questions about the link ☺️☺️☺️ get many you had f I am a little bit of time

Answer:

The sum:0.0049 =0.004. so the answer is 0.004

Find the perimeter of the polygon if angle B is congruent to angle D.

Answers

Answer:

32

Step-by-step explanation:

The sides of the quadrilateral are tangents to the circle.

Tangents drawn from an external point to the circle are congruent

5+5+4+4+3+3+4+4=32

Answer:

32

Step-by-step explanation:

i did it and got it right

can u pls help me with this question ​

Answers

Answer:

i believe the answer is b

Step-by-step explanation:

unit means one

complete the table of values for y=2-x
x= -1, 0, 1, 2, 3, 4,
y= , , , , -1, ,

Answers

Answer:

x = -1, 0, 1, 2, 3, 4

y = 3, 2, 1, 0, -1, -2

Answer:

x = -1, 0, 1, 2, 3, 4

y = 3, 2, 1, 0, -1, -2

Expand and simplify
2(4x + 3) + 4(3x - 1)

Answers

[tex]2(4x + 3) + 4(3x - 1)[/tex]

[tex] = (8x + 6) + (12x - 4)[/tex]

[tex] = 8x + 6 + 12x - 4[/tex]

[tex] = (8x + 12x) + (6 - 4)[/tex]

[tex] = 20x + 2[/tex]

Answer:

8x+6+12x-4= 0

20x+2= 0

20x=-2

20x/20= -2/20

x= -1/10

Does any one knows the scale factor?

Answers

Yes in science it’s the scale factor of the division barns end. Dive o Ebro dodo ooo
Hey jm correct answer

A veterinarian prescribes Benadryl for a dog with allergies. The recommended dosage is 3 mg per kg per day to be given in two doses. If your golden retriever weighs 67 lbs., how much Benadryl should he get in each dose? Round to nearest milligram.

Answers

Answer:

Each dose should be of 5.05 milligrams.

Step-by-step explanation:

To solve the present problem, it is necessary to first establish the equivalence between pounds and kilograms. Thus, 1 pound is equal to 0.453 kilograms. Therefore, the dog weighs about 30.35 kilograms (67 x 0.453), with which, since 3 milligrams must be applied for each kilogram of the animal's weight, 10.1 milligrams of Benadryl (30.35 / 3) should be applied.

Now, since Benadryl is applied in two doses, each of these doses should be 5.05 milligrams (10.1 / 2).

A map has a scale of 2 in. = 25 mi. Town A is 135 miles from Town B. Which equation
can be used to calculate the distance between the two towns on the map?

Answers

Answer:

a. 2/25 =135/x

Hope it helps  :)

Step-by-step explanation:

If y − 4 = 2x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? (5 points)

{(2, 1), (4, 2), (6, 3)}
{(1, 2), (2, 4), (3, 6)}
{(4, 0), (6, 1), (8, 2)}
{(0, 4), (1, 6), (2, 8)}

Answers

Answer:

Step-by-step explanation:

hmmmm

Answer:

It's D (the last one)!!

how do you spell 20k?

Answers

twenty thousandddd

20k

Answer:

twenty thousand

Step-by-step explanation:

Because you just have to spell it out spell twenty and then thousand.

how many half's are in a whole

Answers

2

1/2 plus 1/2 = 1

Hope this helps and have a nice day!!!

(If it is right don’t forget to mark branliest :) )

Answer:

Two

Step-by-step explanation:

Because 1/2 plus 1/2 equals 1 witch would be the final half to make one whole

There are 36 students in Mr. Barrett's math class. If 25% of the students are boys, how many students are girls?

Answers

Answer:

27 of the students are girls

what percent of 18 is 24? Side info: the answer is not 75% or 133%!!!

Answers

Answer:

133 1/3 %

Step-by-step explanation:

24/18 = 4/3

4/3 * 100 = 133 1/3 %

Missed that 1/3

Answer:

133.33%

Step-by-step explanation:

24 is x% of 18, solving for x:

x = 24/18*100% = 133.33%

Estimate the square root of 5 to the nearest tenth

Answers

Answer:

Step-by-step explanation:

It's about +- 2.2. It equals 2.236067977 but can be rounded to 2.2. When you square root, the answer could be positive or negative.

The square root of 5 to the nearest tenth  is 2.2.

We have to find out the square root of 5 that should be the nearest tenth.

So, the following procedure should be followed:

[tex]= \sqrt{5}\\\\= 2.2360679[/tex]

= 2.2

Therefore we can conclude that the square root of 5 to the nearest tenth  is 2.2.

Learn more about the square root here: brainly.com/question/9664917

I WILL GIVE BRAINLY PLEASE HELP!!

1. Determine f -1 (x) for each of the given functions
f (x) =2x-3

2. Determine f -1 (x) for each of the given functions
f (x) = x over x+2​​

Answers

Step-by-step explanation:

1) f(x) =2x -3

y=2x - 3

x= 2y -3

2y =x + 3

y = x+3 over 2

f(x)^-1 = x+3 over 2

2) f(x) = x /x+2

y= x / x+2

y / y+2 = x

y = (y+2)x

y= xy +2x

y -xy = 2x

y( -x +1) = 2x

y= 2x over -x + 1

f(x)^1 = 2x over -x + 1

I don’t understand this

Answers

Answer:

a

Step-by-step explanation:

Step-by-step explanation:

answer is A, please trust me if I'm right give me brainiest

USA test prep please help

Answers

Answer: B

Step-by-step explanation: "Product" is the answer of a multiplication problem, "Reduced by" is to  make smaller or less in amount, degree, or size.

Darnelle has a $10,000, three-year loan with an APR of 5%. She uses the table on page 159 to compute information on the loan,
a. What is her monthly payment?
b. What is the total of all her monthly payments?
c. What is the total finance charge?
HELP

Answers

Her monthly payment would be $180.56, the total of all her monthly payments would be $13,000 and the total finance charge is $3000.

What is the expression of simple interest?

The expression for the final amount for simple interest is

A = p(1+rt)

Given data

Principal = $10,000

Rate= 5 %= 0.05

Time = 6years (Assume)

A = p(1+rt)

A = 10,000(1+0.05×6)

A = 10,000(1+0.30)

A = 10,000(1.30)

A = 13,000

So the final amount for simple interest is $13,000

To determine her monthly payment

Given that it is spread over 6 years

There are 12×6 months= 72months

So monthly pay = 10000/72 = $180.56

The total of all her monthly payments would be $13,000 which is equal to the final amount.

The finance charge is equal to the interest.

⇒ $13,000 - $10,000 = $3000

So the finance charge would be $3000.

Therefore, her monthly payment would be $180.56, the total of all her monthly payments would be $13,000 and the total finance charge is $3000.

Learn more about the simple interest here:

brainly.com/question/22621039

#SPJ5

While President, Obama received an average of 60, 000 letters per week at the White House.
Approximately how many letters does he receive in a day?

Answers

Answer:

8571 letters per day

Step-by-step explanation:

60,000/1 week is the same as 60,000/7 days so

60,000/7 = 8571.428571

is aproximately 8571 letters per day

How many Rubles are 40 cents? I will give Brainliest to the correct answer

Answers

Answer:

30.34

Step-by-step explanation:

Answer:

40 cents = 30.34 rubles

Step-by-step explanation:

1 us $ is 75.86 RUB ₽

0.40 * 75.86 = 30.34


An athlete takos 10 rounds of a rectangular park 10 m long and 30 m
wide Find the total distance covered by him.​

Answers

Answer:

area of rectangular park is 2(l+b)2(10+30)2×4080m²total distance = 10×80m² = 800m²

Right Triangle Trigonometry

Answers

Answer:

B. 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle = 37°

Adjacent Leg = x

Hypotenuse = 10

Step 2: Solve for x

Substitute [Cosine]:                    cos37° = x/10Isolate x:                                      10cos37° = xRewrite:                                       x = 10cos37°Evaluate:                                     x = 7.98636Round:                                         x ≈ 8

Step-by-step explanation:

please it my steps to work on paper whorksheet

help please!!!!!!!!!!​

Answers

Answer:

x=3

y=5

Step-by-step explanation:

5x+3(0) The y is zero because in the x-intercept the y is zero (same for x)

5/5x=15/5

x=3

5(0)+3y=15

3/3y=15/3

y=5

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