Answers
Answer:
[tex]h(x) = (\frac{f}{g})(x)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3x^3 + 9x^2 -12x[/tex]
[tex]g(x) = x - 1[/tex]
[tex]h(x) = 3x^2 + 12x[/tex]
Required
What defines h(x)
Looking at the degree of f(x), g(x) and h(x), we have:
[tex]h(x) = (\frac{f}{g})(x)[/tex]
See proof
[tex]h(x) = (\frac{f}{g})(x)[/tex]
This gives:
[tex]h(x) = \frac{f(x)}{g(x)}[/tex]
[tex]h(x) = \frac{3x^3 + 9x^2 -12x}{x - 1}[/tex]
Factorize
[tex]h(x) = \frac{(3x^2 + 12x)(x - 1)}{x - 1}\\[/tex]
[tex]h(x) = 3x^2 + 12x[/tex]
Related Questions
I need help answering this question please help
Answers
Or at least that what my calculator says.
is 2 a solution to the equation 1/2 x 4 = 5 ?
Answers
Answer:
yes it is good luck with your work
A countries population in 1993 was 253 million. In 1999 it was 237 million. Estimate the population in 2007 using the exponential growth formula. round your answer to the nearest million.
Note: When solving for k, round to four decimal places.
Answers
Answer:
240 million
Step-by-step explanation:
I took the application
Qu
Peter hired a cleaning company to clean his house. The cleaning company charges a
fixed fee of $15 plus $17 per hour to clean a house.
a. Write an equation that can be used to determine, c, the total amount in dollars that
the cleaning company charges to clean a house in h hours.
Answers
To find the total cost you need to multiply the hourly rate by the number of hours they work and add the fixed fee.
C = 17h + 15
HELP WITH THIS ASAP!
Answers
Answer:
Hi, there your answer will C. 85pi ft^2
Step-by-step explanation:
pi(5)(12)+pi(5)^2
60pi+25pi
85pi ft^2
Hope this helps :)
Two parallel lines cut by a transversal are shown. What is the value of X, in degrees?
Answers
9514 1404 393
Answer:
x = 15°
Step-by-step explanation:
Same-side interior angles are supplementary.
(4x° +12°) + 108° = 180°
4x° = 60° . . . . . . . . . . . . . . subtract 120°
x = 15° . . . . . . . . . . . . divide by 4
question number nine answer
Answers
Answer:9
Step-by-step explanation:
Answer:
I think it's either A or D
I will go potty now thx
Answers
Find the surface area of the following figures.
with solution please. T-T
Answers
Answer:
I will do 1 2 3 and 5 for you:
Since a cube has a given length of 5, we know that all sides will be the same therefore your lengths will be the same.
There are 6 sides of a cube so,
5 x 5 = 25 area of one flat surface.
Now 25(an area of one flat surface) x 6(flat surfaces) = 150 cm for question 1
We need to find area of the two circles:
3(given radius)^2(radius being squared) x 3.14(pi)
3 x 3 = 9
9(after radius being squared) x 3.14(pi) = 28.26(area of one circle)
28.26 x 2 = 56.52 (area of 2 circles)
Now we need to find the round surface, but first we need to find circumference:
2 x 3.14 x 3 = 18.84
18.84(circumference) x 5(height) = 94.2 (area of round surface)
Now lets add all the given areas to find surface area:
56.52 + 94.2 = 150.72 cm^2 is your answer for question 2
2 x 4 = 8
8 x 2 = 16
4 x 5 = 20
20 x 2 = 40
2 x 5 = 10
10 x 2 = 20
Add all given areas:
16 + 40 + 20 = 76 cm^2 is your answer for question 3
452.16 cm^2
4 x 3.14 x 6^2
4 x 3.14 x 36 = 452.16 cm^2 is your answer for question 4
8 x 4 = 32, 32 divided by 2 = 16
since there are 4 sides,
4 x 16 = 64
Don't forget the bottom!
4x 4 = 16
Lets add the given areas:
64 + 16 = 80 for question 5
10x -5 = 15
O X = 10
X =-1
x = 2
O X= -2
Answers
Answer:
0
Step-by-step explanation:
Anything multiplied by 0 is 0. sorry if i did it wrong
Find the surface area and volume of the figure. Round to the nearest tenth.
Answers
Find the distance of the two given points (1,5) and (4,10)
Answers
Answer:
5.831
Step-by-step explanation:
Distance between both given points=Lenght=5.831
Jovi distributed 3(n+2) and got 3 x n + 3 x 6 is his answer correct
Answers
Answer:
Step-by-step explanation:
since 3 is outside the parenthesis (n + 2) you multiply the 3 by the n and the 2 and
3n + 6
next subtract the 6 and add the 6 to the other side
3n - 6 = 6
3n = 6
n = 2
Giving brainliest ; What is the mean of the data set? {20,1,14,14,9,8} Enter your answer in the box.
Answers
Answer:
11
Step-by-step explanation:
(20 + 1 + 14 + 14 + 9 + 8) / 6
= 66 / 6
= 11
no links Pwease help this is very important I will give you brain thing if its correct ♡
Answers
Answer:
B, C
Step-by-step explanation:
The number of red tiles in a sack is 5 more than 3 times the number of green tiles in the sack. The
sack contains 35 red tiles, How many green tiles does the sack contain?
Pls help I need this pls help have a good day
A.12
B.10
C.9
D.not here
Answers
Answer:
B. 10
Step-by-step explanation:
10 x 3 = 30+5 = 35
How do the angles and side lengths of the preimage relate to the corresponding angles and side lengths of the image of a dilation with a scale factor not equal to 1?
Answers
Answer:
The angles are proportional and the side lengths are proportional.
Step-by-step explanation:
Savaas Realize
Please help me. Photo provided
Answers
Hey luvs!
The endpoints of AB are A(1,4) and B(5,-1). What are the coordinates of the point that divides AB in the ratio
2:3?
Answers
Answer:
I don't know I'm sorry.............
A bag contains eight white marbles, six red marbles and four blue marbles.
How many blue marbles must be added to the bag so that the probability
of choosing a blue marble is 1/2?
a. 6
b. 5
c. 10
d. 0
Answers
Answer:
c) 10
Step-by-step explanation:
you need to add the white and red marbles which would be 14.
then you subtract 14 by the amount of blue marbles.
Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. We wish to compare the means of two populations using paired observations. Suppose that d3.125, 2.911, and n8, and that you wish to test the hypothesis below at the 10% level of significance. What decision rule would you use? : 0 against : 0
Answers
Answer:
Decision Rule
The critical region for one tailed test with 7 d.f is t > 1.415 for
H0 : ud ≤ 0 against the claim Ha: ud > 0
Step-by-step explanation:
The data given is
Population mean = ud= 0
Sample difference mean = d`= 3.125
Sample difference standard deviation = sd= 2.911
Sample size= n= 8
Formulate the null and alternate hypotheses as
H0 : ud ≤ 0 against the claim Ha: ud>0
The significance level ∝= 0.1
The degrees of freedom = n-1 = 8-1 = 7
The critical region for one tailed test with 7 d.f is t > 1.415
The test statistic is
t= d`- ud/ sd/ √n
Putting the values
t= 3.125-0 / 2.911/√8
t= 3.125/1.0292
t= 3.036
since the calculated value of t falls in the critical region we reject the null hypothesis .
write the percent of each figure
that is shaded.
Answers
Answer:
1. 21% 2. 70%
Step-by-step explanation:
1. 21 out of 100 are filled in
2. 7/10 are filled in
What is the distance between the points (6, 4) and (-3, 17)?
A) 22
B) √250
C) 125
D) √88
Answers
A bank is offering 3.5% simple interest on a savings account. If you earned $525 in interest
in 2 years, how much did you deposit in the savings?
O $7,500
O $8,000
O $7.250
$7.000
Answers
Answer:
$7500
Step-by-step explanation:
Given
[tex]I = 525[/tex]
[tex]R = 3.5\%[/tex]
[tex]T =2[/tex]
Required
The Principal
This is calculated using:
[tex]I =PRT[/tex]
Make P the subject
[tex]P = \frac{I}{RT}[/tex]
So, we have:
[tex]P = \frac{525}{3.5\% * 2}[/tex]
[tex]P = \frac{525}{7.0\%}[/tex]
[tex]P = 7500[/tex]
A radioactive substance with initial value of 800g decays according to the exponential model A= 800e^(kt). After 10 years, only 400g of the substance remains. Find the value of k. Round your answer to the nearest thousandth. NO LINKS!!!!
Answers
Answer:
k ≈ - 0.069
Step-by-step explanation:
Given
A = 800 [tex]e^{kt}[/tex]
Substitute A = 400 and t = 10 into the equation
400 = 800 [tex]e^{10k}[/tex] ( divide both sides by 800 )
0.5 = [tex]e^{10k}[/tex] ( take the ln of both sides )
ln [tex]e^{10k}[/tex] = ln0.5
10k lne = ln0.5 [ lne = 1 ]
10k = ln 0.5 ( divide both sides by 10 )
k = [tex]\frac{ln0.5}{10}[/tex] ≈ 0.069 ( to the nearest thousandth )
Answer:
Step-by-step explanation:
400 = 800 * e^(k*t)
What are the units of t? I'm taking it as years.
Divide by 800
400/800 = e^(k*10)
1/2 = e^(k*10)
ln(1/2) = ln(e)^(k*10)
ln(1/2) = k*10 * ln(e)
ln(e) = 1
-0.69314 = k*10
-0.069314 = k
Check
A = 800 e^(-0.069314*10)
A = 800 e^(-0.69314)
A = 800 * 0.50000359
A = 400.0028722
Which is close enough to 400
Can someone help me with this part A: Members of a high school sports team are selling two popular items for a fundraiser:
candy bars and bags of chips. They earn $0.75 for every candy bar they sell and $0.50 for every
Dag of chips. The members want to earn at least $100 from all sales. The members of the sport
team estimate that they won't be able to sell more than 200 units in total.
Part A: Select all the inequalities that model the constraints for this situation, where x
represent the number of candy bars sold and y represent the number of bags of chips.
A. x 20
B. y20
C. x +y s 100
D. x + y < 200
E. 0.75x + 0.50y
100
F. 0.50x + 0.75y > 100
Answers
An
Step-by-step explanation:
Cx+y s 100
Answer:
All the inequalities that model the constraints for this situation:
(d) x + y < 200 ;
(e) 0.75 x + 0.50 y ≥ 100
Step-by-step explanation:
What is inequality ?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
As, x represent the number of candy bars sold & y represent the number of bags of chips sold.
It is given that,
price for one candy bar = $0.75
also, price for one dag of chips = $0.50
So, price for 'x' candy bar = $0.75x
also, price for 'y' of chips = $0.50 y
Is is mentioned in question, the sale of candy bar and bag of chips shoud be atleast $100.
the First ineqaulity be,
0.75 x + 0.50 y ≥100
(which should the sales of candy baar and dag of chips be equal to 100 dollar or greater than 100 dollar)
Now, the second situation
Again, it is mentioned in the question is number of units (candy bar and dag of chips) should be not more than 200 units.
the second inequality be,
x+ y < 200
(which shows that number of candy bar and dag of chips should be less than 200 units.)
All the inequalities that model the constraints for this situation
(d) x + y < 200
(e) 0.75 x + 0.50 y ≥100
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
2. Use the image to answer the questions.
(a) What is the center and the radius of the circle?
(b) What are the equations of the circle in graphing form and in general form? Show your work.
Answers
Answer:
Center = (-1, 1)
Radius = 3
Graphing form
(x + 1)² + (y - 1)² = 3²
General form
x² + y² + 2x - 2y - 7 = 0
Step-by-step explanation:
Center = (-1, 1)
Radius = 3
Graphing form
(x + 1)² + (y - 1)² = 3²
General form \Expand graphing form\
(x² + 2x + 1) + (y² - 2y + 1) - 9 = 0
Rearrange
x² + y² + 2x - 2y - 7 = 0
Multiply 4/5 by 10 , and then multiply that product by 17 .
Answers
Answer:
your answer is 406.
Step-by-step explanation:
4/5 x 10 will equal to 8. 8 times 17 equals 406.
Can someone help! This is due right now and I'm a little confused! Thank you!
Answers
Answer:
a) 10 cucumbers
b) two fifth x, or 2/5x
c) 15 vegetables
HELP ME PLEASEEEEEEEEEEEEEEEEEEE
Answers
Answer:
The second answer choice
Step-by-step explanation:
The pyramid shown is a triangular pyramid. A triangular pyramid consist of 4 faces; 1 triangular base and 3 triangular lateral faces.
Hence, the correct answer would be the second choice.