30 POINTS:
Function f satisfies f(0) = 2 and f ′(0) = −2. Use this information to compute f^−1′(2).
Answer:
-1/2
Step-by-step explanation:
The relevant relationship is ...
f^-1'(x) = 1/f'(f^-1(x))
f^-1'(2) = 1/f'(f^-1(2)) = 1/f'(0) = 1/-2
f^-1'(2) = -1/2
_____
The attached graph shows the tangent lines at the relevant points. The red line is the tangent to f(0); the blue line is the tangent to f^-1(2).
The inverse function is the function reflected across the line y=x. So, too, for the tangent lines to the function. Each is a reflection of the other across the line y=x. For the purpose here, the tangent line is a suitable representation of the function at the point(s) of interest.
Please help with algebra question on empirical rule!!
Answer:
Step-by-step explanation:
The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.
I need the answer to this. Thank You so much!!!
Answer:
o=6
1=18
2=54
3=162
Step-by-step explanation:
[tex]f(x) = 6(3)^{x} [/tex]
[tex]f(x)=6(3)^{0}=6 \\ f(x)=6(3)^{1}= 18 \\ f(x)=6(3)^{2}=54 \\ f(x)= 6(3)^{3}=162[/tex]
The graph of a function is shown:
Answer: a) {-3, -1, 3, 4}
Step-by-step explanation:
f(x) is the output, and x is the input.
Hope it helps :) and let me know if you want me to elaborate.
answer this please ty
Answer:
Answer will be 1/53 as a fraction, and 0.02 as a decimal.
Step-by-step explanation:
In order to solve this equation, we will first plug in -8 into every x term.
So now we will have:
[tex]f( - 8) = \frac{1}{ - 8 {}^{2} - 11 } [/tex]
{Don't mind the f (-8), just think of it as a sort of place holder.}
Anyways, now we will do -8 × -8, since that's what -8^2 implies:
-8 × -8 = 64
Next do 64 - 11, to get 53.
Now we have 1/53
(You can also divide the numerator by the denominator, to get the answer in decimal form.)
Hope this helps you :)
Sorry if it doesn't.
PLEASE HELP ME WILL MARK BRAINLIEST THIS IS DUE IN A HOUR
Answer:
There is no Question or no images...
Step-by-step explanation:
Explain in detail how would you plot the points -1, 5, -2.5, -3, and 2 on the number line. What is the order of the numbers?
PLEASE HELP!!
WILL GIVE BRAINLIEST
ANY WRONG ANSWERS OR LINKS WILL BE REPORTED!!!
Answer:
-3 -2.5 -1 2 5
Step-by-step explanation:
In order to do this you can look on a number line or you could look at the numbers carefully and the biggest number with a minus is what you start with and end it with a positive number.
Round 0.008547 to the nearest thousandth :]
Answer:
0.855
Step-by-step explanation:
Brainliest Please!Answer:
Step-by-step explanation:
The first zero in the tenth region
The second zero is in the hundreds region
The 8 is in the 1/1000 so look to the next digit.
It is a 5
So round 1 digit in the thousands higher.
Answer: 0.009
Decide which of the following numbers does not belong in the group.
108
502
603
360
And why does it not belong?
Answer:
603 because it’s odd
360 because it doesn’t have a 0 in the tens place
502 because the sum of the digits doesn’t equal 9
Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 3cm/min and the other
shrinks at the rate of 5 cm/min.
A)how fast is the hypotenuse of the triangle changing 2 minutes later?
B)how fast is the area of the triangle changing 2 minutes later?
Answer: Let x = length (in cm) of the decreasing leg at time t seconds
Step-by-step explanation: I hope this was any help ϵ( ‘Θ’ )϶
Steve bought 7 boxes of pencils. Each Box contained 9 pencils. He wants to give each of his 6
friends as many pencils as possible and keep the rest. Which statement is true?
Answer:
A
Step-by-step explanation:
7*9=63
63/6= 10 remainder 3
Therefore each friend gets 10 boxes of pencils and Steve gets the leftover 3 boxes of pencils
please help easy points
Answer:
<=3 let me know if its correct or not if it's not I'm so srry in advance if it's right your welcome
The vertices of a triangle are A (-2, 3), B (5, 10), and C (12-4). Find the coordinates of the intersection of the medians.
The intesection of the 2 medians is at __
Answer:
a number
Step-by-step explanation:
not a letter
HURRY PLEASE I NEED HELP
There are 30 puzzle books on a shelf. The number of puzzle books is 25 of all the books on the shelf.
What is the total number of books on the shelf?
Enter your answer in the box.
books
hurry ill give brainliest answer
The total number of books on the shelf is 12 books
Given the following parameters
Total number of puzzle books on the shelf = 30 books
If the number of puzzle books is 25 of all the books on the shelf, the total number of books on the shelf is expressed as:
= 2/5 of 30
= 2/5 * 30
= 2 * 6
= 12
Hence the total number of books on the shelf is 12 books
Learn more here: https://brainly.com/question/13885389
Answer:
75
Step-by-step explanation:
Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes it would take her to eat
35 hot dogs if she can keep up the same pace.
Answer: Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes it would take her to eat
35 hot dogs if she can keep up the same pace.
Step-by-step explanation: Hope I am right.
help me help me help me help me helpppppp me
Answer:
yes,
She has enough..She needs of 6 ounces+16/4=4 tantamount of 10 ounces, She would have extra one ounce.
Step-by-step explanation:
pls pls pls helpe with this:((((((
Step-by-step explanation:
9. option B
3,13
13 = 5(3) - 2
13 = 15 - 12 → 13 = 13
the ratio of calamansi and pomelo trees in jacintos farm is 8:5. how many trees of each kind are there if there are 793 trees in his farm?
The number of trees calamansi have is 488 trees. The number of tree pomelo trees have in Jacintos farm is 305 trees
From the given information, we learnt that:
The ratio of the calamansi and pomelo trees in Jacintos farm = 8:5
If the total number of the ratio = 8 + 5 = 13
The proportion of the calamansi can be estimated as:
= (8/13) × 793
= 488 trees
The proportion of pomelo trees is:
= (5/13) × 793
= 305 trees
Therefore, we can conclude that the number of trees calamansi have is 488 trees and the number of tree pomelo trees have in Jacintos farm is 305 trees.
Learn more about ratio here:
https://brainly.com/question/25343092?referrer=searchResults
There are 488 calamansi trees
There are 305 jacintos trees
Let x represent the number of calamansi trees
Let y represent the number of Pomelo trees
8 +5= 13
793/13
= 61
8(61)= 488
5(61)= 305
Hence there are 488 calamansi trees and 305 jacintos trees
Please see the link below for more information
https://brainly.com/question/22078813?referrer=searchResults
Write each expression without using exponents.
a.
[tex]5 \frac{2}{3} [/tex]
b.
[tex]4 - \frac { 3}{2} [/tex]
5⅔ = ...
= (3 × 5 + 2)/3
= (15 + 2)/3
= 17/3
[tex] \: [/tex]
B.)4 - 3/2 = ...
= 4 - 1,5
= 2,5 <==> 2½
[tex]5 \frac{2}{3} [/tex]
[tex]=\frac{5 \times 3 + 2}{3} [/tex]
[tex] = \frac{15 + 2}{3} [/tex]
[tex] = \frac{17}{3}[/tex]
[tex]4 - \frac{3}{2} [/tex]
[tex] = \frac{4}{1} - \frac{3}{2} [/tex]
[tex] = \frac{4 \times 2}{1 \times 2} - \frac{3}{2} [/tex]
[tex] = \frac{8}{2} - \frac{3}{2} [/tex]
[tex] = \frac{8 - 3}{2} [/tex]
[tex]= \frac{5}{2}[/tex]
[tex] = 2 \frac{1}{2} \: \: \: or \: \: \: 2,5[/tex]
mrs peele has 11 1/4 pounds of cookie dough a batch of cookies requires 2 1/2 of cookie dough how many batchesof cookie dough can mrs peele make
Answer:
4.5 lbs
Step-by-step explanation:
just divide 11.25 by 2.5
Will give brainly if correct
Hi,
1 mile ≈ 1,6 kilometers
a.
11,9 miles ≈ 11,9 * 1,6 = 19,04 kilometers
b.
46,2 miles ≈ 46,2 * 1,6 = 73,92 kilometers
c.
121 miles ≈ 121 * 1,6 = 193,6 kilometers.
→ * = multiplication
✅(. ❛ ᴗ ❛.)
28+30 is what pls solve it just to pick brainliest answer
Answer:
58
Step-by-step explanation:
28
+30
58
that is the answer
2/7 convert it into percentage
friends i only need solution i know the answer the one who answer i will mark them as brainleast
Answer:
22.22%
Step-by-step explanation:
2/7 = 0.22222...
Convert to a percent - move decimal over by 2
22.22
Answer:
≈ 28.57%
Step-by-step explanation:
To change a fraction to a percentage, multiply the fraction by 100% , that is
[tex]\frac{2}{7}[/tex] × 100%
= [tex]\frac{2(100)}{7}[/tex]
= [tex]\frac{200}{7}[/tex]
≈ 28.57% ( to 2 dec. places )
What is r(-4)=(-4+1)(-4-3)? It’s apart of evaluating functions.
Answer:
21
Step-by-step explanation:
r=-5.25 btw
What is an equation of the line that passes through the points (-6, -4)
and (-4, 0)?
Answer:
y=2x+8
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the points (-6, -4) and (-4, 0).
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptPoint-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negativeLet's write the equation in slope-intercept form, which is the most common way to do it.
We'll need to start by finding the slope of the line
The formula for the slope calculated from two points is [tex]\frac{y_2- y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
Even though we are already given two points, let's label their values in order to avoid any confusion and mistakes for later:
[tex]x_1=-6\\y_1=-4\\x_2=-4\\y_2=0[/tex]
Substitute these equations into the formula to find the slope (m):
m=[tex]\frac{y_2- y_1}{x_2-x_1}[/tex]
Substitute (remember: we have NEGATIVE numbers and SUBTRACTION, so we'll end up subtracting a negative):
m=[tex]\frac{0- -4}{-4--6}[/tex]
Simplify
m=[tex]\frac{0+4}{-4+6}[/tex]
Add the numbers together
m=[tex]\frac{4}{2}[/tex]
Divide
m=2
The slope of the line is 2
We can immediately plug it into the formula for slope-intercept form as m:
y=2x+b
Now we need to find b
As the equation passes through both (-6, -4) and (-4, 0), we can use either one of them to solve for b
Taking (-4, 0) for example:
Substitute -4 as x and 0 as y:
0=2(-4)+b
Multiply
0=-8+b
Add 8 to both sides
8=b
Substitute 8 as b into the equation
y=2x+8
Hope this helps!
The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average daily maximum temperature is:
____ °C higher than the average daily minimum temperature.
Answer:
26.55°C
Step-by-step explanation:
21.85 - - 4.7
21.85 + 4.7
26.55
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
HELP PLSSSSS TY
Health Club Fees You are choosing between two health clubs. Club A offers membership for a fee of $14 plus a monthly fee of $29. Club B offers membership for a fee of $28 plus a monthly fee of $22. After how many months will the total cost of each health club be the same?
Answer:
2 months
Step-by-step explanation:
To solve this equation create an expression for the cost of each club. Use the slope-intercept form of y=mx+b where m is the monthly fee and b is the flat fee. So the 2 expressions would be A) 29x+14 and B) 22x+28. Since we want to find when these are equal, set the expressions equal to each other. This gives the equation 29x+14=22x+28. Then, solve for x.
29x+14=22x+287x+14=287x=14x=2When solved, x=2. This means that after 2 months the cost of each will be the same.
Is it accurate? Just making sure to have them correct.
Where is the question ???
What is -12 3/4 + -5 1/2? Write your answer as a mixed number in simplest terms.