Answers
Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) from first principles is
f'(x) = lim ( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{3(x+h)^3+2-(3x^3+2)}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{3(x^3+3x^2h+3xh^2+h^3)+2-3x^3-2}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{3x^3+9x^2h+9xh^2+3h^3-3x^3}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{9x^2h+9xh^2+3h^3}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{h(9x^2+9xh+3h^3)}{h}[/tex] ← cancel h on numerator/ denominator
= lim ( h to 0 ) 9x²+9xh+3h² ← let h go to zero
f'(x) = 9x²
Related Questions
Plz Plz plzzzzzz answer
Answers
Answer:
c i think
Step-by-step explanation:
also i like anime to!
Answer:
c I think I might be wrong tho
6th grade math!!!!!!!!!!!
Answers
Answer:
8(y-3) and 8y-24
Step-by-step explanation:
The parentheses mean that you're multiplying 8 and the difference of y and 3.
If you carry out the distributive property, you'll get 8y-24
Answer:8(y-3) and 8y-24
Step-by-step explanation:
I've had this problem before on a different test!
The students in the music club sold tickets to their spring concert. The table shows the
amount of money raised and the number of tickets sold by each of four students.
What is the constant of proportionality for the sales?
Answers
Answer:
Step-by-step explanation:
You divide the tickets sold and money raised and your supposed to get 5 on all of them . Answer : 5
The constant of proportionality for the sales is 1/5. Therefore, option D is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
The given table shows the amount of money raised and the number of tickets sold by each of four students.
The constant of proportionality for the sales is
Fawn: 15/85 =1/5
Ryan: 13/65 =1/5
Daisy: 9/45 =1/5
Doug: 6/30 =1/5
Therefore, option D is the correct answer.
To learn more about the proportional relationship visit:
brainly.com/question/12917806.
#SPJ5
430 were sold.
4.25 for soda
5.50 for popcorn
the total is 2077.50
how many of each were sold?
Answers
Answer:
Soda = 230
Popcorn = 200
Step-by-step explanation:
(4.25 x 230) + (5.50 x 200) = 2,077.50
230 + 200 = 430
Pls help and show workings due asap
Answers
Step-by-step explanation:
l^2=15^2+6^2
l^2=225+36
l^2=261
l=√261
Here is a rectangle ABCD.
The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.
Find the percentage increase in the perimeter of the rectangle.
Answers
Answer:
it will increase 5 percent
Answer:
8%
Step-by-step explanation:
the base of a parallelogram is 2
more than the height
The area of the parallelogram is 120yd^2, find the base and the height
Answers
Answer22:22
Step-by-step explanation:
Help me please........::.:::::::::::...:
Answers
Explanation: There is the biggest increase between Monday and Tuesday
The sum of six and a number multiplied by
five is 11.
Answers
Answer:
ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
Step-by-step explanation:
Step-by-step answer:
6+5n=11
6+5n-6=11-6
5n=5
5n/5=5/5
n=1
Plzzzzz give me Brainliest!!!!!
What is 89 x 780 I need to know it please help.
Answers
Answer:780x89= 69,420
Simple math!
Step-by-step explanation:
Find the slope of the graph
Answers
Answer:
[tex]-\frac43[/tex]
Step-by-step explanation:
Hello!
Slope is calculated by the formula [tex]\frac{Rise}{Run}[/tex].
Rise is the change in y between two pointsRun is the change in x between two points.The two points I'm picking is (0,0) and (3,-4).
The change in y (0 and -4) is -4.The change in x (0 and 3) is 3.Therefore, the slope is [tex]-\frac43[/tex].
The money used in Tajikistan is called the
Somoni. The exchange rate is $7 = 22
Somoni. Find how many
dollars
you
would receive if you exchanged 66
Somoni.
O $16
O $18
O $207,43
$21
Answers
The quotient of ten and a number that is greater than four
Answers
(x - 4) = 10
7
What is the constant in the expression 12q + 9e + 15
Answers
Answer:
Step-by-step explanation:
the constant in this expression is 15
Suppose the linear regression line y = 2.009x - 37.131 predicts a pizza
parlor's profits based on the number of pizzas sold. If x represents the
number of pizzas sold, and y represents the pizza parlor's profits in dollars,
about how much can the pizza parlor expect in profits if it sells 275 pizzas?
Answers
Answer:
Pizza parlor's profit = $515.344
Step-by-step explanation:
Given that:
Linear regression line for pizza parlor's profit
y = 2.009x - 37.131
x represents the number of pizzas sold
y represent the profit in dollars
Profit for 275 pizzas
Putting x = 275 in given equation
y = 2.009(275) - 37.131
y = 552.475 - 37.131
y = 515.344
Hence,
Pizza parlor's profit = $515.344
What is the slope of a line that passes through the origin and the point (-2,1)?
Answers
Given:
A line passes through the origin and the point (-2,1).
To find:
The slope of the line.
Solution:
If a line passes though two point, then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that a line passes through the origin, .i.e., (0,0) and the point (-2,1). So, the slope of the line is
[tex]m=\dfrac{1-0}{-2-0}[/tex]
[tex]m=\dfrac{1}{-2}[/tex]
[tex]m=-\dfrac{1}{2}[/tex]
Therefore, the slope of the line is [tex]-\dfrac{1}{2}[/tex].
Pls help and show workings
Answers
Answer: x = 11
Step-by-step explanation:
same as the last question, set them as equal and solve. here's my work:
5x - 1 = 4x + 10
5x - 1 (+ 1) = 4x + 10 (+ 1)
5x = 4x + 11
5x (- 4x) = 4x (- 4x) + 11
x = 11
Please help me on this
Answers
9514 1404 393
Answer:
number of cups purchasedtotal monthly costtotal monthly costnumber of cups purchasedM(x) = 2x +15M(13) = 4113 cups purchased in a monthhave a total monthly cost of $41Step-by-step explanation:
When you have a wording that matches ...
A depends on B
It means that A is the dependent variable, and B is the independent variable.
Here, the total monthly cost depends on the number of cups purchased.
That statement tells you that "total monthly cost" is the dependent variable, and "number of cups purchased" is the independent variable (x).
The first four (4) blanks you're to fill represent two different ways of saying this same thing.
__
The equation is a mathematical expression of the way the costs add up.
total monthly cost = (program cost) + (per-cup cost) × (number of cups)
M(x) = 15 + 2x
Then M(13) is ...
M(13) = 15 + 2·13 = 15 +26 = 41
So the total monthly cost for the purchase of 13 cups of coffee is $41.
John went to the store and bought 4 pencils
and 10 binders and spent $64. Carmen went
to the same store and bought 7 pencils and 4
binders and spent $31. If Lisa wants to buy
pencils and binders from the same store,
how much should they tell her each item
costs?
Answers
X= pencils and Y= binders
4x + 10y = 64
7x + 4y= 31
Pencils are $1 each and binders are $6 each.
What is a power function and what restrictions does it have?
Answers
Answer:
A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.
Step-by-step explanation:
There are 13 apples in a basket. 5 of these apples are green. The rest of them are red.
(a) What is the ratio of all apples in the basket to red apples?
(b) What is the ratio of red apples to green apples?
Answers
Answer:
A) 13:8
b) 8:5
Step-by-step explanation:
In this question, we will be making ratios.
Ratios are represented as a:b whereas "a" and "b" represent the different scenarios.
(a) What is the ratio of all apples in the basket to red apples?In this question, we need to make ratio with total apples and red apples.
We will write the ratio in respective order, or from left to right in the statement.
We know that our total amount of apples is 13, so that would go on the left side of the ratio.
We need to find the amount of red apples in the basket. We already have 5 green apples, so subtract 5 from 13.
13 - 5 = 8
We have 8 red apples, so that would go on the right side of the ratio.
Your ratio should be:
13:8
(b) What is the ratio of red apples to green apples?In this question, we have to make a ratio of red apples to green apples.
We know that there are 8 red apples, we also know that there's 5 green apples.
With this information, we can make our ratio:
8:5
What integer describes a decrease of seven? (A. 7 / B. -7 / C. 0 / D. 1/7)
Answers
Answer:
I thin B -7 cause its negative and negative goes down.
Step-by-step explanation:
solve for x. round to the nearest tenth.
pls help.
Answers
Answer:
x = 7.2
Step-by-step explanation:
you can use the cos of 63 and set it equal to adjacent / hypotenuse
cos 63° = x
16
.45 = x
16
x = 16(.45)
x = 7.2
HELP PLA I NEED HELP
Answers
x=20
x=5 root under 3
x=4 root under 2
IF U ANSWER THIS CORRECTLY I WILL MARK U BRAINLIEST AND GIVE YOU 20 NOTIFICATIONS!!!!! (the good notifications)
Moussa is preheating his oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 6 minutes after being turned on? What is the temperature of the oven t minutes after being turned on?
Answers
Answer:
After 6 minutes the temperature would be 190 degrees.
Step-by-step explanation:
6 x 20 = 120 + 70 = 190.
Answer:
(Answer Below)
Step-by-step explanation:
Brainliest are appreciated. I don't want 20 notifications. I prefer if you buy me a biteable account. Costs $19.
35 divided by 1 3/4 and 5
Answers
Answer:
25
Step-by-step explanation:
it is in the picture
Answers
Answer:
C.x+8=3x
hope it helps.
Find the average rate of change
f(x)=x^2−6x+8 when x2=1 and x1=3
Answers
Answer:
Average rate of change for given function is: -2
Step-by-step explanation:
Given function is:
[tex]f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3[/tex]
In order to find the rate of change, we have to find the value of function on x1 and x2
So,
[tex]f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3[/tex]
The formula for finding the rate of change is:
[tex]Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
Putting the values, we get
[tex]=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2[/tex]
Hence,
Average rate of change for given function is: -2
Answer:
Average rate of change for given function is: -2
Step-by-step explanation:
its urgent pls answer
(2,8)
(4,2,)
(6,-4)
(9,-13)
Find the slope of the line.
Answers
Answer:
The slope would be (i believe, sorry if I am wrong) 3/-1. Rise over run. So you would go up 3 and left 1.
Step-by-step explanation:
Zara has forgotten her 4-digit PIN code.
She knows the first digit is a factor of 10 and the 4 digits make a number divisible by 5.
How many different sets of 4 digits could it be?
Answers
Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.
For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.
So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits
Answer:
800 different 4 digit passwords can be the pin
Step-by-step explanation:
Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5.
These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.
For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have
10 digits permuted in 1 way, and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way,
So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is
4 × 10 × 10 × 2 = 800 different sets of digits