Help.
Please show workings.
See image for question.

Question :
1. Find the gradient of the tangent to the curve y = 2x²+5x-3 at the point where x = 1.

2. Find from first principle, the derivative of 3/x with respect to x​

Help. Please Show Workings. See Image For Question.Question :1. Find The Gradient Of The Tangent To The

Answers

Answer 1

Answer:

dy/dx

= d/dx [2x² + 5x - 3]

= 4x + 5.

Hence at x = 1, dy/dx = 4(1) + 5 = 9.

The slope of the tangent is 9.

d/dx (3/x)

= d/dx (3x^-1)

= 3 * d/dx (x^-1)

= 3 * [-1 * x^(-2)]

= -3/x².


Related Questions

Sachant que le volume de la glace diminue de 11% quand elle fond, donner une valeur approchée, au millimètre près, de la hauteur de l'eau contenue dans le verre de Samira juste avant d'avoir versé la boisson gazeuse.

Answers

Only if I knew this language

brainly and points :)

Answers

Answer:

The answer is option A

Step-by-step explanation:

Hope this helps! ;)

Answer :

A

Explanation:

PLEASE ANSWER of course when you get a chance......PLEASEEE
The football teams at a recreation center are given money to purchase equipment for the season. Each team receives $50 per player. Let m represent the amount of money a team is given and let p represent the number of players on the team. Express the relationship between m and p as an equation.

A. m=50
B. p=50m
C. m=50p
D. m= p/50

Answers

Answer:

Option C: m=50p is the correct answer.

Step-by-step explanation:

Given that:

Amount received per player = $50

Let,

m represent the amount of money each team is given.

p represent the number of players on the team

Amount of money = Amount received per player * Number of players

m = 50p

Hence,

Option C: m=50p is the correct answer.

Here are some numbers 8 11 13 18 25 37 8 13 18 is an arithmetic progression and the rule is to add. Use three of the numbers to make a different arithmetic progression. Describe the rule.

Answers

Answer:

[tex]Progression: 11, 18, 25[/tex]

[tex]Rule: Add\ 7[/tex]

Step-by-step explanation:

Given

[tex]List: 8, 11, 13, 18, 25, 37[/tex]

Sample

[tex]Progression: 8, 13, 18;[/tex]

[tex]Rule: Add\ 5[/tex]

Required

Generate a progression with three numbers and state the rule

We will use the method of trial and error to get the solution

Start with digit 11

Add 7:

[tex]11 + 7 = 18[/tex]

Add 7:

[tex]11 + 7 + 7 = 18 + 7 = 25[/tex]

Hence, the progression is: 11, 18 and 25

Rule: Add 7

Find the x- and y-intercepts of 4x-9y=-12

Answers

X-int (-3,0)
Y-int (0,4/3)
The answer is shown below

Graph the inequality
y < 2x – 3.

Answers

Answer:

Step-by-step explanation:

HELP!!! WHich of the following is the graph of x^2 > 9?

Answers

Answer:

Hi! The correct answer is C!

Step-by-step explanation:

~Take the root of both sides and solve~

VOTING BRAINLIEST 10 POINTS! Rectangle PQRS and its side lengths are shown in the figure.

Which side lengths belong to a rectangle that is NOT similar to rectangle PQRS?
A. 4.5 ft by 3 ft
B. 13.5 ft by 9 ft
C. 6 ft by 4 ft
D. 12 ft by 9 ft

Answers

Answer:

its 100% d.)

Step-by-step explanation:

plz mark me

cheryl says that when you add two negative numbers, the sum is always negative. is Cheryl's statement true of false?

Answers

Answer:

wwo

Step-by-step explanation:

Answer:true

Step-by-step explanation:It’s because anytime a negative number is added by another negative number the result is always negative.

Emily and Lars went scuba diving in the ocean together. Emily dove to a depth of -95 feet, while Lars dove
to a depth of -89 feet. Who dove deeper into the ocean?

Answers

Answer:

emily

Step-by-step explanation:

-95 feet is 6 feet deeper than -89 feet

Please help it is an emergency!!!!! Answer the second question i already answered the first question. This first question is the first part answer the second question please help!!!!!!!!!!

Answers

Answer:

im sorry i dont know buut i think its the third one

Step-by-step explanation:

Which is the order from least to greatest?
3.2
kilograms
3.2
decigrams
3.2
centigrams
3.2 decigrams, 3.2 centigrams, 3.2 kilograms
3.2 kilograms, 3.2 decigrams, 3.2 centigrams
3.2 centigrams, 3.2 decigrams, 3.2 kilograms

Answers

Answer:3.2 centigrams, 3.2 decigrams, 3.2 kilograms

Step-by-step explanation:

Answer:

3.2 centigrams, 3.2 decigrams, 3.2 kilograms

What is f(-4) for the function f(x) =-3x-8

Answers

Answer:

f(-4) = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = -3x - 8

f(-4) is x = -4

Step 2: Evaluate

Substitute in x:                    f(-4) = -3(-4) - 8Multiply:                               f(-4) = 12 - 8Subtract:                              f(-4) = 4

Answer:

the correct answer is:

-3 × -4 -8 = 12 - 8 = 4

Describe 2 ways to find the slope of a line. I'll give you Brainliest if you answer.

Answers

Find the rise over run on the graph or divide y by x

I really need help. I dont understand

Answers

Answer:

D

Step-by-step explanation:

The area of a circle is 9π
if and only if, its radius is 3.
true or false

Answers

true :) hope this helps

A cyclist is travelling at an average speed of 15km/HR. How long will it take to travel a distance of 52 1/2km

Answers

Answer:

3.5hour

Step-by-step explanation:

Average speed = Distance/Time

Given

Distance = 52 1/2 km

Speed = 15km/hr

Required

Time

Substitute the given values in the formula

Time = (52 1/2)/15

Time= 105/2 * 1/15

Time = 105/30

Time  = 3.5hour

hence it will take 3.5hr to travel a distance of 52 1/2km

He signed a promissory note with a term of three years the principal was $12,800 with interest at 12.5% how much did BP pay in interest on the note and on the maturity date how much did bo4 principal

Answers

Answer:

$48,000

Step-by-step explanation:

Step one:

given data

Principal= $12,800

rate= 12.5%

time = 3 years

Required

The Interest

Step two

SImple interest= PRT/100

substitute

SI= 12800*12.5*3/100

SI=480000/100

SI=$48,000

Aliyah is drawing a ball from one bag and a tile from another bag the first bag contains four green balls and four yellow balls the second bag contains tiles 1 through 5 search

Answers

Complete question :

Aliyah is drawing a ball from one bag and a tile from another bag the first bag contains four green balls and four yellow balls the second bag contains tiles 1 through 5 search

What is the probability that she draws a green ball and a tile numbered with 4?

Answer:

1 / 10

Step-by-step explanation:

Given:

Bag content :

Green balls = 4

Yellow balls = 4

Probability = required outcome / Total possible outcomes

P(drawing a green ball) = 4 / 8 = 1/2

Total number of tiles = 5

P(drawing tile numbered 4) = (number of tiles numbered 4 / total number of tiles) = 1 / 5

P(drawing a green ball) * P(drawing tile numbered 4)

= 1 / 2 * 1 /5

= 1 / 10

Judy's heart beats 70 times a minute. At this rate, how many times does her heart beat in an hour?

Answers

Answer:

4,200 hbph

Step-by-step explanation:

Hope this helps and have a great day!!!

Answer:

4200 times

Step-by-step explanation:

If there is 70 beats in a minute, and 60 minutes in an hour. All you do is 70*60.

Pls help and show workings
Thank you in advance
Option
A. 7
B. 10
C. 13
D. 22

Answers

Answer:

D

Step-by-step explanation:

rule: sum of two angles in triangle, should always be higher then the other angle: 13+9=22,

it should be bellow 22. it can not be D

PLEASE PLEASE HELP, I AM TIMED! What is the equation to the function? Explain.

Answers

Step-by-step explanation:

General equation: y = 2 + c/(x - 1)

When x = 4, y = 4.

=> (4) = 2 + c/(4 - 1), c = 6.

Hence the equation is y = 2 + 6/(x - 1).

A spotlight can be adjusted to effectively light a circular area of up to 7
meters in diameter. What is the maximum number of square meters
that can be effectively lit by the spotlight?
(Draw a circle with a diameter of 7 meters, then solve.)

Answers

Answer:

38 square meters

Step-by-step explanation:

Use the circle area formula:

A = πr² = πd²/4

Substitute the value of the diameter and calculate:

A = 3.14*7²/4A = 38.465 m²

Maximum number of  square meters is 38

Answer:

Diameter of the spotlight is 7 meters

Radius=Diameter/2=7/2 meters=3.5 meters

Area of the circular spotlight is :---

π×(radius)² =22/7×3.5×3.5=38.5 meter²

The maximum number of square meters that can be effectively lit up by the spotlight is 38.5 square meters.

What is the measure?

Answers

62 degrees. they’re vertical to each other which means they are congruent

A 50-question test contains 20 true-or-false questions. The rest are multiple-choice. What is the ratio of true-or-false to multiple-choice questions? plz help me

Answers

Answer:

The ratio is 20:30, or 2:3 in simplest form

Plzzzzz give me Brainliest!  

Answer:

2/5 or 40%

Step-by-step explanation:

20 out of fifty is hard so make it 40 out of 100 and it's easy 40%

✨PLEASE PLEASE HELP DUE SOONNN✨

Answers

The answer is A!
glad to help!

Bags of flour come in 3 sizes:

Small bag: A 500 g bag costs 90p.
Medium bag: A 2 kg bag costs £3.40.
Large bag: A 4 kg bag costs £7.60.

Calculate the cost of 2 kg for the small and large bags.
Give your answer in pounds to 2 dp.
Write the bag that is the better value in the comments.

Answers

Answer:

Ik where u got this q from but:

small bag is £3.60

large is $3.80

Step-by-step explanation:

the 500 grams x 4 to get 2kg then do 90p x 4

then

4kg divided by 2 to get 2kg as the question states, then do £7.60/2

hegarty maths anyone?

If f(x)=x³-2x²-73x-70, which of the following is not a factor of f(x)?
A) (x+1)
B) (x-10)
C) (x+10)
D) (x+7)

Answers

Answer:

C. (x + 10)

Step-by-step explanation:

2(x + 3) + 5(x + 7)
Simplified

Answers

Answer:

7x + 41

Step-by-step explanation:

2(x + 3) + 5(x + 7) ← distribute both parenthesis

= 2x + 6 + 5x + 35 ← collect like terms

= 7x + 41

Answer: 7x + 41

Remove parentheses and distribute

2x+6+5x+35

Combine like terms

7x+6+35 =

7x+41

What is the first step you would take to solve the equation 5x - 12 = -20?


Divide 5x and -20 by 5.


Add 20 to both sides.


multiply 12 by .


Add 12 to both sides.

Answers

Answer:

The first step would be to add twelve to both sides

Step-by-step explanation:

Answer:

add 12 to both sides

Step-by-step explanation:

What we want to do, is to isolate the variable and the numbers on different sides.

if we divide 5x and -20 by 5, what about -12? It's part of the equation too.

If we add 20 to both sides, the numbers and the variable are on the same side, so we'll need to subtract it back off to isolate both.

If we multiply 12 by (what was there) it won't be isolating the variable or numbers. We'll just be increasing the value of the terms already there.

However, if we add 12 to both sides, we'll be isolating both the variable AND the numbers onto different sides.

therefore, add 12 to both sides.

Hope this helps!

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