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
Answers
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
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~
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 RightAlgebra I
Function NotationStep-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) = 4Answer:
the correct answer is:
-3 × -4 -8 = 12 - 8 = 4
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?
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
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:
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
brainly and points :)
Answers
Answer:
The answer is option A
Step-by-step explanation:
Hope this helps! ;)
A
Explanation:
✨PLEASE PLEASE HELP DUE SOONNN✨
Answers
glad to help!
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
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 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).
Graph the inequality
y < 2x – 3.
Answers
Answer:
Step-by-step explanation:
Find the x- and y-intercepts of 4x-9y=-12
Answers
Y-int (0,4/3)
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
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.
The area of a circle is 9π
if and only if, its radius is 3.
true or false
Answers
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:
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.
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
Remove parentheses and distribute
2x+6+5x+35
Combine like terms
7x+6+35 =
7x+41
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.
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
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%
I really need help. I dont understand
Answers
Answer:
D
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 the measure?
Answers
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!
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
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 metersStep-by-step explanation:
Use the circle area formula:
A = πr² = πd²/4Substitute the value of the diameter and calculate:
A = 3.14*7²/4A = 38.465 m²Maximum 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.
Describe 2 ways to find the slope of a line. I'll give you Brainliest if you answer.
Answers
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