For the function: f(x) = 3x^2– 4x – 8, find and simplify
A. f(x) - f(a) divided by x-a
b.f(x +h) - f(x) all divided by H
Answers
Answer:
Step-by-step explanation:
A) (f(x) - f(a)) / (x - a)
(3x²– 4x – 8 - (3a² – 4a – 8)) / (x - a)
(3x²– 4x – 8 - 3a² + 4a + 8) / (x - a)
(3(x² - a²) – 4(x - a)) / (x - a)
(3(x - a)(x + a) – 4(x - a)) / (x - a)
3(x + a) - 4
B) (f(x + h) - f(x)) / h
(3(x + h)² - 4(x + h) - 8 - (3x² - 4x - 8)) / h
(3(x² + 2xh + h²) - 4x - 4h - 8 - 3x² + 4x + 8) / h
(3x² + 6xh + 3h² - 4x - 4h - 8 - 3x² + 4x + 8) / h
(3x² + 6xh + 3h² - 4h - 8 - 3x² + 8) / h
(3x² + 6xh + 3h² - 4h - 3x² ) / h
( 6xh + 3h² - 4h ) / h
(6xh + 3h² - 4h) / h
6x + 3h - 4
Related Questions
how do you factor 3x^2-3x-90
Answers
3x^2 - 3x -90
=3 (x^2 - x -30)
=3 (x^2 −6x+5x−30)
=3(x(x−6)+5(x−6))
=3(x−6)(x+5)
After all the taxes are withheld, Jules's take home pay is about 72% of his total earnings. Estimate his take home pay if his total earnings for the pay period are $240.
Answers
Answer:
172.8
Step-by-step explanation:
72% of 240 is 172.8
You can estimate it by rounding 172.8 to $173
Jules's take $173 for home pay.
What is Percentage?
A relative value indicating hundredth part of any quantity is called percentage.
Given that;
Total earning of Jules's = $240
He take home pay is about 72%.
Now,
Amount for take home pay = 72% of $240
It can be solve as;
72% of $240
72% × 240
72/100 × 240
72/10 × 24
172.8
After estimating we get;
Amount for take home pay = $173
Thus, Jules's take $173 for home pay.
Learn more about the percentage visit:
https://brainly.com/question/548162
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George has four boards that are each 43 feet long and two that are 5.75 feet long.
What is the total length of all the boards together? Give your answer as a decimal.
Answers
Answer:
183.50 feet
Step-by-step explanation:
43*4=172
5.75*2=11.50
172+11.50=183.50
183.50 feet
A machine packs 180 boxes of cereal in a half-hour. It takes 55 minutes to pack 330 boxes. True or False?
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i want the answer for this question fast plz
Answers
Answer:
l dont know bro sorry but l will let you konw
Four less than the product of a number and 8 is twice the sum of the number and 10 what is the number
Answers
Answer:
x=4
Step-by-step explanation:
Four less than the product of a number and 8:
8x−4
is twice the sum of the number and 10, so
8x−4=2(x+10)
Simplify.
8x−4=2x+20
Add 4 to both sides, which is
8x=2x+24
Subtract 2x from both sides:
6x=24
Divide 6 from both sides to isolate the x
x=4
-how I got 20
8x-4=2(x+10) x=8 so 8+10=18 18+2=20
also sorry for posting the answer in the comments and then making an answer after you saw i just wanted da points and hope it helped you :)
A manager at a store is holding a contest where the first, ninth, and ninetieth customers of the day will win a prize. 100 people visit the store that day. Three different friends visit the store that day. What is the probability that they are the first, ninth, and ninetieth customers of the day? Give your answer as a fraction in simplest form.
Answers
Answer: 1/970200
Step-by-step explanation:
This is a permutation problem, because the order matters.
There are 100! ways for the 100 customers to visit the store.
There are (100−3)!=97! ways for the three friends to be the first, ninth, and ninetieth customers
(a) The diagram below, not drawn to scale, shows a circle, centre 0. EH and EF are tangents to the circle. FOG and JOH are straight lines. The measure of ZFCH = 44º. 44° Calculate, giving reasons for your answer, the measure of: (i) ZEHF (ii) ZFGH (2 marks) (2 marks) (iii)JHE (2 marks (iv) ZJGH 90 (2 marks)
Answers
Answer:
it is 6574 for the math problem
Can anyone give me the second derivative of 6(x^4+6xy^3-18)^3 please?
Answers
Answer:
Step-by-step explanation:
[tex]6(x^4+6xy^3-18)^3[/tex] =
[tex]6x^12+108x^9y^3 - 324x^8 + 648x^6y^6 - 3888x^5y^3 = 5832x^4 + 1296x^3y^9 - 11664x^2y^6 + 34992xy^3 - 34992[/tex]
If you want all the steps then use this: https://www.symbolab.com/solver/second-derivative-calculator/6%5Cleft(x%5E%7B4%7D%2B6xy%5E%7B3%7D-18%5Cright)%5E%7B3%7D?or=input
Answer for brainiest
Answers
Answer:
x=72°
Step-by-step explanation:
We know angles around a point equals 360°
Therefore,
(2x-61)°+(x-11)°+3x°=360°
2x-61+x-11+3x=360°
Collect like terms,
2x+x+3x-61-11=360°
6x-72°=360⁰
Evaluate;
6x=360°+72°
6x=432°
Divide both sides by 6
x=72°
A cheerful teen willing to help,
please mark BRAINLIEST,
stay salty...
Answer:
x = 72°
Step-by-step explanation:
there is a total of 360 degrees in a circle
we know we can add the angle measures shown and set it equal to 360
3x + (x-11) + (2x-61) = 360
combine 'like terms':
6x + (-11) + (-61) = 360
6x + (-72) = 360
6x = 432
x = 72
Check:
[2(72)-61] + (72-11) + 3(72) should equal 360
(144-61) + 61 + 216 = 360
83 + 61 + 216 = 360
360 = 360
Round 1.04to the tenths place.
Answers
Dear, the answer is 1.0
Hope this helps~ ^^
Need help I got 23,294 as the answer but it’s not an option please explain how you got the answer.
Answers
Answer:
A
Step-by-step explanation:
Calculation seems correct to me, with d the distance and h the height of the plane, and i got the same value. Closest value is A tho, so i'd stick with it.
If you want to be pedantic about it, you can always divide the heigth by each value, and get the inverse tangent of each value. With A you get 17.995 which seems the best value you get
3. A train set costs $120.00. Find the discount if it is on sale for
30% off.
Answers
Answer:
36
Step-by-step explanation:
To find the discount, you will need to find 30% of $120, so you will need to do:
120*0.3=36
Also, if you were asking for the COST if it was 30% off, it would be 84 as 120-36=84.
(I hope this helps!)
simplify 3 wholes 6/8 + 2 wholes 2/8
Answers
Answer:
5/1
Step-by-step explanation:
3.75 + 2.25 = 5
5 = 5/1
A student randomly guesses the answers to a five-question true/false test. If there is a 50% chance of guessing correctly on each question, what is the probability that the student misses no questions?
ANS: 0.03125
Answers
In science class, a student is measuring the temperature of a solution in science experiment. The solution
started at -3.4 degrees. After two minutes the temperature had increased 12.4 degrees. After a few more
minutes, the temperature decreased 20.4 degrees. After one more minute the temperature increased by
3.2 degrees. What is the final temperature?
Answers
Answer:
-11.8
Step-by-step explanation:
Given:
-3.4 to 12.4 increased (difference = 15.8)
12.4 to 20.4 decreased (difference = 8)
20.4 to 3.2 increased (difference = 17.2)
To find:
Final temperature.
Solution:
As we noticed, this is a pattern of increase, decrease, increase... (and so on and so forth). From this alone, we have gotten the clue that the temperature is going to decrease. But here is the thing, How far will it decrease?
Use the difference of the starting result to find the ending result.
3.2 - 15
= -11.8
Therefore, the final temperature is -11.8.
Find the GCF of 21m5n2 and 28m4n2.
Answers
your family have decided to paint your room. It took 1/2 hour to paint 1/8 of your room. How long will it take to paint your whole room?
Answers
Answer:
4 hours
Step-by-step explanation:
In 6 hours, J paints 1 room
So, in 1 hour, J paints 1/6 th of the room
Using similar logic, in 1 hour, T paints 1/12 th of the room.
Working together in one hour, they paint (1/6+1/12) th =1/4 of the room.
1/4 of the room is painted in 1 hour
So, 1 room is painted in 1 1/4=4 hours
Answer:
Step-by-step explanation: 1/7
Mr. Janak ordered packages of hamburger buns, cheese slices, and patties for 3 cafes. He listed
the number of packages needed per store in matrix Mand the cost per package in matriz N.
H. C. P. Cost
Cafe 1 [15 10 12]. H. [2.50]
M=cafe2 [20. 13. 15]. N=c[4.25]
Cafe 3. [18. 14. 14]. P [3.15]
Answers
What does the stuff down below mean?
If you split 8 kg of strawberries among yourself and three friends, how many kilograms of strawberries will each person receive?
Answers
Answer:
2kg brainliest expected
Step-by-step explanation:
there's 4 people so divide 8 by 4.
each person shall get 2 kg
People were polled on how many books they read the previous year. Initial survey results indicate that s= 18.1 books. Complete parts (a) through (d) below.
(a) How many subjects are needed to estimate the mean number of books read the previous year within six books with 95%confidence?
This 95% confidence level requires ____subjects. (Round up to the nearest subject.)
(b) How many subjects are needed to estimate the mean number of books read the previous year within three books with 95% confidence?
This 95% confidence level requires _____subjects. (Round up to the nearest subject.)
(c) What effect does doubling the required accuracy have on the sample size?
A.Doubling the required accuracy nearly quadruples the sample size.
B.Doubling the required accuracy nearly halves the sample size.
C.Doubling the required accuracy nearly quarters the sample size.
D. Doubling the required accuracy nearly doubles the sample size.
(d) How many subjects are needed to estimate the mean number of books read the previous year within four books with 99% confidence?
This 99% confidence level requires _____ subjects. (Round up to the nearest subject.)
This 99% confidence level requires ____subjects. (Round up to the nearestsubject.)
Compare this result to part (a). How does increasing the level of confidence in the estimate affect sample size? Why is thisreasonable?
A. Increasing the level of confidence increases the sample size required. For a fixed margin of error, greater confidence can be achieved with a smaller sample size.
B. Increasing the level of confidence decreases the sample size required. For a fixed margin of error, greater confidence can be achieved with a larger sample size.
C. Increasing the level of confidence decreases the sample size required. For a fixed margin of error, greater confidence can be achieved with a smaller sample size.
D. Increasing the level of confidence increases the sample size required. For a fixed margin of error, greater confidence can be achieved with a larger sample size.
Answers
is this question from book or just asking about subject???
90 degree angle is divided into two sides
Answers
Answers:
3x + 40 =64
4x - 6 =26
Step-by-step explanation:
So we are dealing with 2 complementary angles with both add up to 90 degrees. We can write an equation that shows this:
(3x+40) + (4x-6) = 90
Combine like terms
7x + 34 =90
Isolate x
7x = 56
x = 8
Now that we found x, all we have to do is substitute it in the equations:
3x + 40 = ?
3(8) +40 = ?
24+40 = ?
64 = ?
4x - 6 = ?
4(8) - 6 = ?
32 - 6 = ?
26 = ?
Answer:
3x+40= 66
4x-6= 26
Step-by-step explanation:
3x+40+4x-6=90˚ (because the square on the angle represents a 90˚)
Add 4x and 3x
Which is 7x
40 minus 6 is 34
The equation now looks like this:
7x+34=90˚
Subtract 34 on both sides:
7x=56
Divide 7 on both sides:
x=8
For 3x+40
Substitute x with 8
the equation now looks like this:
24+40 Which is 66
For 4x-6
4 times 8 is 32
32 minus 6 which is 26
Hope this helps!
(20 points!!!)
Alanna is going shopping for Goggles and food.
The cost of Goggles is $15 and the cost of each food item is $5.
If Alanna can spend at most $55, how many food items can be purchased?
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
Explain what the solution means in the context of the word problem.
Answers
Answer:
(20 points!!!)
Alanna is going shopping for Goggles and food.
The cost of Goggles is $15 and the cost of each food item is $5.
If Alanna can spend at most $55, how many food items can be purchased?
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
Explain what the solution means in the context of the word problem.
Find the value of y for the given value of I.
y=x/2 + 9;x = -12
Answers
9514 1404 393
Answer:
y = 3
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
[tex]y=\dfrac{x}{2}+9\\\\y=\dfrac{-12}{2}+9=-6+9\\\\\boxed{y=3}[/tex]
Find atleast four equivalent fractions for each fraction 8/18
Answers
16/36, 24/54, 32/72 and 40/90.
these are the equivalent fractions of 8/18
PLEASE MARK MY ANSWER AS BRAINLIEST
Answer:
16/36, 4/9, 24/54, 32/72
What is the other 0 of the quadratic function
Answers
Answer: Unknown
Step-by-step explanation:
-b+/-√b^2-4ac/2a < plug a b and c into this equation and boom done ez
Help I need to solve A. B. C and D.
Answers
Answer:
A) -3 > -5
B) -5 < 0
C) 6 > -1
D) tuesday > wednesday
Step-by-step explanation:
< = lower than
> = greater than
Write a function that has the following characteristics:
-Exponential decay
-Asymptote is y = -2
-Shifted left 3 units from the parent function
Answers
9514 1404 393
Answer:
y = 0.4^(x+3) -2
Step-by-step explanation:
I have chosen the decay function y=0.4^x as the parent function.
Shifting any function f(x) left 3 and down 2 will transform it to ...
y = f(x+3) -2
So, the shifted parent function is ...
y = 0.4^(x+3) -2
Which angle is adjacent to <1?
Answers
4
I need to find out what the value of Z is pls help
Answers
171 ig
Step-by-step explanation:
2z-4= 2
3z+4=
7+2= 9
180(supplementary)
180-9=171 degree
