Let R(x)=3x3+2x2+x and S(x)=4x2+1. Find R(x)−S(x).
Answers
Answer:
hope it will help u......................
The function R(x) - S(x) is [tex]3x^{3} -2x^{2} +x-1[/tex].
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) is called function.
According to the given question.
We have two functions
[tex]R(x) = 3x^{3} +2x^{2} +x[/tex]
And, [tex]S(x) = 4x^{2} + 1[/tex]
Therefore, the function R(x) - S(x) is given by
[tex]R(x) - S(x) = 3x^{3} +2x^{2} +x-(4x^{2} +1)[/tex]
[tex]\implies R(x) - S(x) = 3x^{3} +2x^{2} +x - 4x^{2} -1[/tex]
[tex]\implies R(x) - S(x) = 3x^{3} -2x^{2} +x-1[/tex]
Hence, function R(x) - S(x) is [tex]3x^{3} -2x^{2} +x-1[/tex].
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Related Questions
What expression is equal to COS B????
Answers
Answer:
A/C
Step-by-step explanation:
Since the sum of the angles in a triangle equals 180°, and angle C is 90°.
That means angles A and B add up to 90°, that is, they are complementary angles. Therefore the cosine of B equals the sine of A.
We saw on the last page that sin A was the opposite side over the hypotenuse, that is, a/c. Hence, cos B equals a/c.
Your welcome! :)
Six kids and two adults are going to the circus. Kid's tickets are on sale for only half the price of adult tickets. The total cost is $48. How much is one kids ticket? -how much is one adult ticket
Answers
Answer:
One kids ticket is $4.80 and one adult ticket is $9.60
Step-by-step explanation:
Create a system of equations where k is the cost of a kids ticket and a is the cost of an adult ticket:
6k + 2a = 48
k = 1/2a
Solve by substitution by substituting the second equation into the first one:
6k + 2a = 48
6(1/2a) + 2a = 48
Simplify and solve for a:
3a + 2a = 48
5a = 48
a = 9.6
Find the cost of a kids ticket by dividing this by 2, since they are on sale for half the price of adult tickets.
9.6/2
= 4.8
One kids ticket is $4.80 and one adult ticket is $9.60
The population of the African country of Madagascar in 2018 is about 26 million. The estimated population of Madagascar is given by the function P(t)=26(1.03)t , where t represents the time in years since 2018 and P(t) represents the population in millions.
part a. In 2020 , the population will be blank million
part b. What is the meaning of P(t)=50 ?
The population 50 years after 2018 is P(t) ,
The population 50 years after 2018 is cap p times t, ,
The population t years after 2018 is 50 million.
The population t years after 2018 is 50 million.
The population 50 years after 2018 is 50 million.
The population 50 years after 2018 is 50, million.
The population t years after 2018 is about 114 million.
Answers
Answer:
The current population of Madagascar is 28,354,778 as of Thursday, June 10, 2021, based on Worldometer elaboration of the latest United Nations data.
Madagascar 2020 population is estimated at 27,691,018 people at mid year according to UN data.
Madagascar population is equivalent to 0.36% of the total world population.
Madagascar ranks number 51 in the list of countries (and dependencies) by population.
The population density in Madagascar is 48 per Km2 (123 people per mi2).
The total land area is 581,795 Km2 (224,632 sq. miles)
38.5 % of the population is urban (10,670,252 people in 2020)
The median age in Madagascar is 19.6 years.
Step-by-step explanation: i dont know man
Please help will mark brainliest
Answers
Answer:
4 th option
Step-by-step explanation:
Using synthetic division to find the quotient
- 2 | 1 - 4 + 5 - 2
↓ - 2 + 12 - 34
------------------------------
1 - 6 + 17 - 36 ← remainder
The quotient is x² - 6x + 17
Then
[tex]\frac{x^3-4x^2+5x-2}{x+2}[/tex] = x² - 6x + 17 - [tex]\frac{36}{x+2}[/tex]
You want to invest in companies belonging to Gispa Group of
1
Companies, Inc. so you did some research and found out that companies belonging to this group has an average gain of
0.8
percent and standard deviation of
0.7
percent. Given that a positive percent (gain) means profit and a negative percent means a loss. If you choose
20
companies, what is the probability that the companies are gaining more than
1
percent?
Answers
Answer:
0.1007
Step-by-step explanation:
Given :
Average gain, μ = 0.8
Standard deviation, σ = 0.7
Number of companies, n = 20
Obtaining the standardized value ;
Zscore = (x - mean) / (σ/√n)
Zscore = (1 - 0.8) / (0.7/√20)
Zscore = (0.2 / 0.1565247)
Z = 1.27775
Using the Z probability calculator :
P(Z > 1.27775) = 0.10067
P(Z > 1.27775) = 0.1007 ( Z probability calculator)
A particular medicine decays at a rate of 16% every 4 hours. If a person takes a 25 mg dose, answer
the following questions.
a. Write a function that represents the amount of medicine after h hours.
b. How much is left after 4 hours? 8 hours?
Answers
Answer:
25 x 0.84 ^ h = X
After 4 hours there will be 12.45 milligrams of the medicine, and after 8 hours there will be 6.20 milligrams of it.
Step-by-step explanation:
Given that a particular medicine decays at a rate of 16% every 4 hours, if a person takes a 25 mg dose, to write a function that represents the amount of medicine after h hours, and determine how much is left after 4 hours and 8 hours, the following calculations must be performed:
100 - 16 = 84
25 x 0.84 ^ h = X
25 x 0.84 ^ 4 = X
25 x 0.4978 = X
12.45 = X
25 x 0.84 ^ 8 = X
25 x 0.2478 = X
6.20 = X
Therefore, after 4 hours there will be 12.45 milligrams of the medicine, and after 8 hours there will be 6.20 milligrams of it.
Find the measure of each numbered angle.
Answers
Answer:
Angle 1 - 148
Angle 2 - 32
Angle 3 - 73
Angle 4 - 148
Angle 5 - 105
Step-by-step explanation:
Angle 1 forms a line with angle 32 and equals 180, therefore Angel 1 = 180 - 32 = 148
Angle 2 has the same value as the opposing angle, 32
Angle 3 combined with 32 and 75 equals 180, therefore
Angle 3 = 180 - 32 - 75
Angle 3 = 73
Angle 4 is equal to angle 1
Angle 5 combined with 43 and Angle 2 (32) equals 180
Angle 5 = 180 - 43 - 32
Angle 5 = 105
(PLEASE HELP + POINTS)
Use the drawing tool(s) to form the correct answer on the provided number line.
Solve the equation, and plot the solution(s) on the provided number line.
(Picture included)
Answers
Answer:
x = 4
Step-by-step explanation:
2/3x + 1/6 = 4/3x
Easiest way to solve is by multiplying the entire equation by 6x.
6x (2/3x + 1/6 = 4/3x)
4 + x = 8
subtract 4 rom both sides
x=4
Kara and Karl love steak, fried chicken, hamburgers, mashed potatoes, and french fries. They like green beans and peas. How many different meals including a meat, potatoes and a green vegetable can they make from these choices? 8 meals 16 meals a. C. b. 12 meals d. 24 meals
Answers
Answer:
steak, chicken, and hamburger are meats. 3 meats.
The French fries and mashed potatoes are potatoes. 2 Potatoes.
And Green beans and peas are green vegetables. 2 Vegetables.
I think we just do 3 x 2 x 2 = 12 Meals.
hope that helps bby<3
if x and 5x are supplementary angles, find them
Answers
Answer:345678098321
Step-by-step explanation: I think so lol
Answer:
x+5x=180( adj.suppl.ls)
6x=180
6x÷6=180÷6
x=30
A ball is dropped from a height of 5m. After each bounce it rises to 35% of its previous height. After how many bounces does the ball reach a Height of less than 50cm?
Answers
Answer:
After the third bounce the ball reaches a height of less than 50cm.
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is always the same, and it's called common ratio. The nth term of a geometric sequence is given by:
[tex]A_n = A_0(r)^{n}[/tex]
In which [tex]A_0[/tex] is the first term and r is the common ratio.
A ball is dropped from a height of 5m.
This means that [tex]A_0 = 5[/tex]
After each bounce it rises to 35% of its previous height.
This means that [tex]r = 0.35[/tex]
Thus
[tex]A_n = A_0(r)^{n}[/tex]
[tex]A_n = 5(0.35)^{n}[/tex]
After how many bounces does the ball reach a Height of less than 50cm?
50cm = 0.5m. This is n for which [tex]A_n = 0.5[/tex]. Thus
[tex]A_n = 5(0.35)^{n}[/tex]
[tex]0.5 = 5(0.35)^{n}[/tex]
[tex](0.35)^n = \frac{0.5}{5}[/tex]
[tex](0.35)^n = 0.1[/tex]
[tex]\log{(0.35)^n} = \log{0.1}[/tex]
[tex]n\log{0.35} = \log{0.1}[/tex]
[tex]n = \frac{\log{0.1}}{\log{0.35}}[/tex]
[tex]n = 2.19[/tex]
Rounding up:
After the third bounce the ball reaches a height of less than 50cm.
what is the correct answers
Answers
Answer:
its c
Step-by-step explanation:
solve the simultaneous equation 2x+5y=6 and 5x-2y=9
Answers
Answer:
[tex]x = \frac{57}{29} \ , \ y = \frac{12}{29}[/tex]
Step-by-step explanation:
2x + 5y = 6 --------( 1 )
5x - 2y = 9 --------( 2 )
_____________
( 1 ) x 5 => 10x + 25y = 30 -----------( 3 )
( 2 ) x 2 => 10x - 4y = 18 ----------- ( 4 )
______________
( 3 ) - ( 4 ) => 0 + 29y = 12
[tex]y = \frac{12}{29}[/tex]
Substitute y in ( 1 ) =>
[tex]2x + (5 \times \frac{12}{29}) = 6\\\\2x + \frac{60}{29} = 6\\\\2x = 6 - \frac{60}{29}\\\\2x = \frac{174 - 60}{29}\\\\x = \frac{114}{29 \times 2}\\\\x = \frac{57}{29}[/tex]
ASAP!!!!!
Ms. Rodrigo’s class plays soccer during gym every 12 days. Mr. Tate’s class plays soccer every 8 days. If both classes are playing soccer today, how many days will it be before they both are playing soccer on the same day again?
Answers
I need help asap pls pls pls...
Answers
Answer:
c)
Step-by-step explanation:
please don't trust ;-;
Which statement shows the correct value for the exponential
expression 34?
O 4x 4x4=64
O 3x4=12
3x3x3x3=81
O 3x3x3 = 27
Answers
Answer:
B. 3 x 3 x 3 x 3 = 81
Step-by-step explanation:
exponential expression 3⁴
This means multiplying 3 four times
= 3 × 3 × 3 × 3
= 81
B. 3 x 3 x 3 x 3 = 81 is the answer
Similarly, if you have 5³
This means you'll multiply 5 three times
5³ = 5 × 5 × 5
= 125
And
3¹ =
3 one time
3¹ = 3
PLEASE HELP I WILL VOTE BRAINLIEST IF CORRECT
Graph the following system of equations and find the x-coordinate of the solution.
Choices:
x = -2
x = 3
x = 2
x = 0
Answers
x = 3
y = 8
(3, 8)
Hope this helps! :)
Luis is building a new deck and needs to have a slab in of concrete poured.he knows the contractor charges an initial coast of $75 plus an additional $2.50 per square foot of concrete.which equation can be used to determine the coast (y),in dollars,to pour a concrete slab with an area of x square feet.
Answers
Answer:
[tex]y = 2.5x + 75[/tex]
Step-by-step explanation:
1. What is the central measure found by adding all numbers in the data set and then dividing by the number of values
A. data
B. mean
C. median
D. mode
Answers
Answer:
mean will be find in that method
hence, correct option is B
What is the simplified expression for -3(2x-y)+2y+2(x+y)
Answers:
8x+y
y-4x
7y-4x
-4x-y
Answers
Answer:
7y - 4x
Step-by-step explanation:
Given
- 3(2x - y) + 2y + 2(x + y) ← distribute parenthesis
= - 6x + 3y + 2y + 2x + 2y ← collect like terms
= 7y - 4x
Find the opposite of each polynomial.
Answers
Answer:
Step-by-step explanation:
The word "opposite" is indicated by the - sign out front. Mathematically, we multiply a -1 into the parenthesis which, not coincidentally, changes the signs of everything inside the parenthesis, making them "opposite". The opposite of this polynomial is
- a - b - c
Brian says that ABCD is a right triangle. Is he correct? (Round your answer to the nearest whole number) Explain.
17 m
21.7 m
С
D 13.5 m
Answers
21.7²=17²+13.5²
21.7²=289+182.25
21.7²=471.25
21.7=√471.25
21.7=21.7
22(to the nearest whole number)
Answer: Yes, it is a right triangle
But only if you rounded everything to the nearest whole number.
Otherwise, it's a bit off (but fairly close).
==========================================================
Explanation:
If that was a right triangle, then a^2+b^2 = c^2 would be the case (pythagorean theorem). The a,b,c refers to the sides of the triangle. The 'c' is always the longest side, where 'a' and 'b' can be in any order you want.
We have
a = 13.5b = 17c = 21.7Which leads to
a^2+b^2 = c^2
(13.5)^2+(17)^2 = (21.7)^2
182.25 + 289 = 470.89
471.25 = 470.89
We don't get the same thing on both sides, so we don't have a right triangle.
However, your teacher mentions to round the results to the nearest whole number. The 471.25 on the left side becomes 471, while the 470.89 becomes 471.
So while the equation 471.25 = 470.89 is definitely false, both sides are close enough that they round to 471 = 471 which is true.
In other words, this isn't a right triangle but it's close enough to one. Based on this rounding criteria, Brian is correct.
Please help me that is the volume???
Answers
Let us first find the hieght of the triangle:
= 16² = p² + 8²
= 256 = p² + 64
= 256 - 64 = p²
= √192 = p
= 13.85 = p
Area of equilateral trianglular prism:
= ⅓× l² × h
Here, l = length of side and h is height= ⅓ × 16² × 13.85
= 256 × 13.85 × ⅓
= 1181.86 cm³
= 1182 cm³ (approx)
What’s is the answer plzzzz help
eacg fruit basket has 5 apples and 3 pears . what is the ratio of the total number of fruits to the numbers of pears in each fruit basket ?
Answers
Answer:
The ratio is 5:3 because there are 5apples and 3 pears
Please help I will award brainless to whoever helps please it’s urgent
Answers
Answer:
128 sq units :)
Step-by-step explanation:
hope this helps! have a great day :)
Surface area of a cylinder
Answers
Answer:
A=2πrh+2πr2
Step-by-step explanation:youre welcome
Step-by-step explanation:
πr^2+2πrh
(r= radius, h= height)
Y=-4+b
I need a answer fast and thank you
Answers
If we solve for Y then answer is..
Y=b-4
If we solve for B then answer is..
b=Y+4
which one is greater 27.532 or 27.523
Answers
Answer: 27.532
Step-by-step explanation:
0.53>0.52
Answer:
27.532
27.532 is greater because .532 is greater than 523
20 Points!!!
A ping pong ball is released from a height of 60 centimeters (cm) and bounces to a height that is 3/4 the previous height. What function estimates the height, H, in cm of the ping pong ball after x bounces?
Enter a number in each empty box to correctly complete the function.
H = ____ (____)^x
Answers
Multiply the starting height (60) by the height of each bounce (3/4) raised to the number of bounces (x)
H = (60)(3/4)^x
The answer to the given expression is:
H = 60(3/4)^x
What do we mean by exponents?A number is raised by another number which is called the power/exponent which implies that the number is multiplied by itself for that many number of times.
How do we solve for H?After every release, it bounces 3/4th of the previously released height.
After 1st bounce H = 60(3/4)
After 2nd bounce, it will be 3/4th of the previous H,
∴ H = 60(3/4)(3/4) = 60(3/4)^2
Similarly, after the 3rd bounce, it will be 3/4th of the previous H,
∴ H = 60(3/4)^2 * (3/4) = 60(3/4)^3
So it goes on like this. After x bounces,
H = 60(3/4)^x
Learn more about the Exponents at
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Please help me with this it's urgent!
Answers
Answer:
I think finite
Step-by-step explanation:
