Answer:
1/6
Step-by-step explanation:
Given the function
f(x)=x^3+x^2+x
Get the inverse. Let y = f(x)
y = x^3+x^2+x
Replace y with x
x = y³+y²+y
Differentiate with respect to x
1 =3y²dy/dx + 2ydy/dx + dy/dx
1 = (3y²+2y+1)dy/dx
dy/dx = 1/3y²+2y+1
g'(x) = 1/3(g(x))²+2g(x)+1
If x = 3
g'(3) = 1/3(g(3))²+2g(3)+1
g'(3) =1/3(1)²+2(1)+1
g'(3) = 1/3+2+1
g'(3) = 1/6
Hence g'(3) = 1/6
Evaluate the following expressions given x=6 and y=-3
a.
[tex] \purple{5 \times 6 - 4 \times ( - 3)}[/tex]
[tex] = 30 + 12[/tex]
[tex] \blue{ = \boxed{42}}[/tex]
b.
[tex] \purple{ {6}^{2} + \frac{6}{ - 3} }[/tex]
[tex] = 36 - 2[/tex]
[tex] \blue{ = \boxed{34}}[/tex]
c.
[tex] \purple{(6 - 5 {)}^{3} + {( - 3)}^{2} }[/tex]
[tex] = {1}^{3} + 9[/tex]
[tex] = 1 + 9[/tex]
[tex] \blue{ = \boxed{10}}[/tex]
=============================Hope it helps
=============================-6(-3y-6)-10(6y-8) in simplest form
Answer:
Step-by-step explanation:
18y + 36 - 60y + 80
116 - 42y
Answer:
-42y+116
Step-by-step explanation:
Expand:
-6(-3y-6)-10(6y-8)
Simplify:
18y+36-60y+80
pleaze help the question is in the picture
Answer:
A because we need the amount of time she played soccer for so we need to add the 2 days together
Step-by-step explanation:
25 points. Which problem will graph as shown?
A) 3x - 5 ≥ -14
B) 3x - 5 ≤ -14
C) 3x - 5 > -14
D) 3x - 5 < -14
Answer:
D
Step-by-step explanation:
We can work backwards.
First, notice that we have an open circle. So, we do not have "or equal to." So, we can ignore A and B.
Our final answer is all values less than -3. So:
[tex]x<-3[/tex]
We can multiply both sides by 3:
[tex]3x<-9[/tex]
And then subtract 5 from both sides:
[tex]3x-5<-14[/tex]
So, the answer that matches this will be D.
Instead of working backwards, you can also just solve each inequality. Since we have an open circle, we only need to solve C and D. If we solve C, we get x > -3, and if we solve D, we get x < -3 (as desired). So, D matches the graph shown.
please help! Giving points!
Answer:
Bee
Step-by-step explanation:
Ya like jazz?
I am a multiple of 12 . i am between 40 and 50 . who could i be
Answer:
48
Step-by-step explanation:
if its not right sorry
You're given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you constructusing these measurements?
Answer: The 40° angle and the fixed side lengths of 10 cm and 8 cm uniquely determine the locations of Points A and B. Thus, you can construct only one triangle using these measurements.
Step-by-step explanation:
Hope it helps mark me brainliest.
help me this is due this period please please ill mark brainiest with a bunch of points.
Answer:
(-4,1)
Step-by-step explanation:
The answer is just where the two lines intersect
I'm rather tired so double check me on this but I'm getting about (-4,1) and it's asking for an approximation so think (-4,1) is fine
Answer:
It's around (-4. 5, 1.5). It's somewhere in that range.
What is -1 1/3 in a decimal
Answer:
1.333
Step-by-step explanation:
if rounded then it's 0.333
if wrong I apologize
During a high school baseball tournament, Lexile hits a pitch and the baseball stays in the air for 4.42 seconds. The function describes the height over time, where h is its height, in yards, and t is the time, in seconds, from the instant the ball is hit: h(t) = - 5t ^ 2 + 22t + .5
Answer:
a) The maximum height that the ball reaches is 73.1 meter
b ) The time elapsed when the ball reaches its maximum height of flight = 2.2 seconds
Step-by-step explanation:
The complete question is
During a high school baseball tournament, Lando hits a pitch and the baseball stays in the air for 4.42 seconds. The function h(t) = -5t2 + 22t + 0.5 describes the height over time, where h is its height, in meters, and t is the time, in seconds, from the instant the ball is hit. a. What is the maximum height the ball reaches? b. What will be the time elapsed when the ball reaches its maximum height of flight?
Solution:
For maximum height
[tex]\frac{dh}{dt} =0[/tex]
[tex]\frac{d(5t^2 + 22t + 0.5)}{dt}\\ 10t + 22 = 0\\t = 2.2[/tex]seconds
a) Maximum height
[tex]5 * t^2 + 22t + 0.5[/tex]
[tex]= 5 * 2.2 *2.2 + 22 * 2.2 + 0.5 \\= 73.1[/tex]
b) Time elapsed when the ball reaches maximum height is 2.2 seconds
If x = 8, what is the value of 4x + 6?
I NEED HELP! I’m on a test!!
Answer:
=38
Step-by-step explanation:
Use substitution :3
4(8)+6=38
substitute x to 8 then calculate!
There you'll get your answer.
the required value of expression 4x + 6 is 38 when x = 8.
If x = 8, what is the value of 4x + 6 to be determine.
In mathematics, it deals with numbers of operations according to the statements.
The equation is the relationship between variables and is represented as y = 4x +8 is an example of a polynomial equation.
Here, the expression is given as,
y = 4x + 8
now we have x = 8, put this x in y
y = 4(8) + 6
Solving the equation using the PEMDAS rule of mathematics
1St open the parenthesis of 8 then multiply this 8 by 4.
y = 4*8 +6
y = 32 + 6
Now adding 32 and 6 will give 38
y = 38
Thus, the required value of expression 4x + 6 is 38 when x = 8.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
how do you solve this
How is the graph of y = - 4x2 – 5 different from the graph of y = -4x2?
A. It is shifted 5 unit(s) down.
C. It is shifted 5 unit(s) up.
B. It is shifted 5 unit(s) left.
D. It is shifted 5 unit(s) right.
Answer:
C. It is shifted 5 unit(s) up.
Step-by-step explanation:
The y-intercept of the first equation is –5. The y-intercept of the second equation is 0. This means that it moves up by 5 units.
Look at the image below for better understanding:
What is the coefficient of 3y+7?
Answer:
3
Step-by-step explanation:
it's 3 because the number is infront of a variable
ok can you pls answer this
HELP PLS !!!!!!!!!!....
Karen recorded the numbers of people getting off her tram. The mean number for 10 stops is 6.3. After the tram stops at the 11th stop, the mean is 8. How many people got off the tram at the 11th stop?
Answer:
32 people got off
Step-by-step explanation:For the 10th stop, we can get the total number of people that have gotten off
Mathematically, this is the product of the mean and the number of stops
= 10 * 6.3 = 63 people
Now, for the 11th stop, the total becomes
11 * 8.6 = 94.6
Evaluate each expression
P + 8 when P = 6
show ya work
Answer:umm so with my super jimmy neutron powers the answer is 14 because since P = 6 the equation turns into 6 + 8=14
5k - 9 - 2k + 3 = 3k - 6
A card is in the shape of a rectangle. The length of the card is 7 cm
and the area of the card is 35 sq cm. What is the width of the card in
centimeters?
lol ok so
7*something or you can make it into a variable x=35
7*x=35
/7 /7
x=5.
find the 19th term of the arithmetic sequence d=5 a1=2
Answer:
92
Step-by-step explanation:
nth term = a₁ + (n - 1)d
19th term = 2 + (19 - 1) * 5
= 2 + 18*5
= 2 + 90
= 92
i need help solving this question
Answer:
4 1/6
Step-by-step explanation:
First, you have to convert any mixed numbers to fractions.
Then your initial equation becomes:
25/8÷3/4
Second, you have to apply the fractions formula for division.
= 25 x 4
------------- (You will be dividing.)
8 x 3
=100/24
And if you simplify 100/24, the answer will become:
4 1/6
I hope this helps. :)
What is the area of the sector of the circle when the radius is 10 and the shaded part is 45 degrees
Answer:
We are solving for the area so; A=134.16
Step-by-step explanation:
Here is the formula for finding area of a sector:
A = [tex]\pi r^{2}[/tex] × θ° ÷ 360°
where theta is the angle of the sector you wish to find, and r is the radius of the circle.
Substitute the numbers in and you get:
[tex]\frac{25\pi }{2} unit ^{2}[/tex]
You should find 39.26991 as your answer (or any number rounded according to the value of pi)
PLEASE HELP QUICKLY!!!
Answer:
sunday
Step-by-step explanation:
i dont want brainliest give it to the other guy
write 8,000,000 in scientific notation ?
Answer:
A: 8 x 10^6
Step-by-step explanation:
How do I find x in this problem?
Answer:
(6-2)×180 = 720
101+154+72+123+145+x=720
595 + x = 720
x = 720-595
x= 125
how would the numbers 6870000 appear in scientific notation on a calculator screen
Answer: D
Step-by-step explanation:
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 55% salt and Solution B is 80%
salt. She wants to obtain 30 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?
here are the ingredients needed to make 8 buiscuits 90g of butter 35g of sugar and 125g of flour hamid has 315g of butter 150g of sugar and 500g of flour work out the greatest number of buiscuits hamind can make (and how like the working out)
Answer:
These ten cookie recipes that take less than 15 minutes will blow your mind
What can be better than sitting on a sofa, cuddled up in cozy blanket, sipping tea, and nibbling on a few (or more) fresh, delicious cookies after a long, cold day? You can argue that this situation is impossible; you're busy, and never have enough time or energy for baking yummy goods.
Here at Bright Side, we know how little time you have for desserts. That is why we put together a list of ten recipes for the best cookies that only take 15 minutes to make.
Coconut cookies
A teacher bought packages of 6 pens in each package. Another teacher bought packages of 8 pens in each package. If the teachers ended up buying the same number of pens, what is the least number of pens they could have?
Answer:
The least number of pens they could have is 24 pens.
Step-by-step explanation:
6: 6, 12, 18, 24, 30, 36, 42, 48
8: 8, 16, 24, 32, 40, 48
Answer:
24 is my answer
i hop it helps you