if f(x)=2x and g(x)=x^2-1 which statement is true?
A. (f*g)(x)=2x^2 -1
B.(f*g)(x)=2x(x^2-1)
C.(g*f)(x)=4x-1
D.(g*f)(x)=4x^2-1
how i describe the algebraic expression of n+4
Answer:
Step-by-step explanation:
One way to put that into words would be "4 added to some number". Another way could be "the sum of some number and 4" or "4 more than some number". They all mean the same thing.
How many triangles can be constructed with angles measuring 80 degrees 80 degrees and 40 degrees
Answer:
None
Step-by-step explanation:
The angles inside a triangle add to 180. If the angles are 80, 80 and 40, then they must add to 180 to form a triangle.
80+80+40 = 200
This can't be a triangle.
According to these three facts, which statements are true?
Circle W has center (−3, 0) and radius 8.
Circle V is a translation of circle W, 2 units down.
Circle V is a dilation of circle W with a scale factor of 2.
Select each correct answer. (You can choose more than one).
A. Circle V and circle W are similar.
B. Circle V and circle W have the same center.
C. The radius of circle V is 16.
D. The center of circle V is (−5, 0).
Circle V and Circle W are similar and the radius of Circle V is 16; however, Circle V and Circle W do not have the same center, and the center of Circle V is not (-5, 0), but rather (-3, -2).
Given the information that Circle W has center (-3, 0) and radius 8, and Circle V is a translation of Circle W 2 units down and a dilation with a scale factor of 2, the following statements can be evaluated:
Circle V and Circle W are similar: This statement is true. Both circles maintain their shape after a translation and dilation.Circle V and Circle W have the same center: This statement is false. Translation moves the center of Circle V 2 units down, changing its coordinates.The radius of Circle V is 16: This statement is true. The radius is doubled through the dilation process.The center of Circle V is (-5, 0): This statement is false. The correct center after translation would be (-3, -2).Find the general solution of the given second-order differential equation. 25y'' − 15y' − 4y = 0
Final answer:
To solve the second-order differential equation 25y'' - 15y' - 4y = 0, we find the characteristic equation and its roots, then express the general solution as a linear combination of terms with the found roots as exponents, resulting in [tex]y(t) = C_1e^{-t/5} + C_2e^{4t/5}.[/tex]
Explanation:
We are given a second-order differential equation with constant coefficients: 25y'' − 15y' − 4y = 0. First, we will look for a characteristic equation that arises from this differential equation to find the general solution.
To find the characteristic equation, we substitute [tex]y = e^{rt}[/tex] (where r is a constant) into our differential equation, replacing y'' with [tex]r^2e^{rt}[/tex], y' with [tex]re^{rt}[/tex], and y with [tex]e^{rt}[/tex]. The equation becomes 25r² − 15r − 4 = 0.
Solving for r, we find the roots of the characteristic equation, which are the values of r that satisfy the equation.
Once we have the roots, which we'll call r₁ and r₂, the general solution to the differential equation is [tex]y = C_1e^{r_1t} + C_2e^{r_2t}[/tex], where C₁ and C₂ are arbitrary constants determined by initial conditions.
To find r₁ and r₂, we factor the characteristic equation:
25r² − 15r − 4 = (5r + 1)(5r - 4) = 0. Hence, r₁ = -1/5 and r₂ = 4/5.
Finally, the general solution to the differential equation is [tex]y(t) = C_1e^{-t/5} + C_2e^{4t/5}.[/tex]
On a trip, you had to change your money from dollars to British pounds. You got 560560 pounds for 800800 dollars. How many pounds will you get for 300300 dollars?
look i know its easy to u but can you help me with this one
(I will give the brainliest! Please answer quickly)
Leia cuts congruent triangular patches with an area of 21 square centimeters from a rectangular piece of fabric that is 14 centimeters long and 6 centimeters wide. How many of the patches can Leia cut from 31 pieces of the fabric?
find the missing number 1.2 equals 3. what
the movie theater is twice as far from the school as the mall. if the movie theater is to the right of the school, at which location is the movie theater ?
Graph the equation
5x+3y+62=30
Answer:
see below
Step-by-step explanation:
Subtract 62, then divide by -32 to put the equation into intercept form:
... x/(-6.4) + y/(-10 2/3) = 1
This tells you the x-intercept is -6.4, and the y-intercept is -10 2/3. A line through these two points is your graph.
A square hamburger is centered on a circular bun. Both the bun and the burger have an area of 16 square inches. How far, to the nearest hundredth of an inch does each corner of the burger stick out from the bun? Explain.
reuben deposits $700 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 3 years?
In a certain state, license plates consist of three letters followed by three numbers.
a. how many
Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Check all that apply. The domain is {x| x ≥ 3}. The range is {y| y ≥ –1}. The function decreases over the interval (–∞, 3). The function increases over the interval (–1, ∞). The axis of symmetry is x = –1. The vertex is (3, –1).
Answer:
2,3,6 are true on edg
Step-by-step explanation:
A carnival game has 160 rubber ducks floating in a pool. The person playing the game takes out one duck and looks at it.
If there’s a red mark on the bottom of the duck, the person wins a small prize.
If there’s a blue mark on the bottom of the duck, the person wins a large prize.
Many ducks do not have a mark.
After 50 people have played the game, only 3 of them have won a small prize, and none of them have won a large prize.
Estimate the number of the 160 ducks that you think have red marks on the bottom. Then estimate the number of ducks you think have blue marks. Explain your reasoning. Show all work!
Answer:
17
Step-by-step explanation:
which term best describes the statement given below?
if a = b and b = c then a= c
Answer:
Syllogism law
Step-by-step explanation:
Given:
a ⇒ b, and b ⇒ c, then a ⇒ c
This is a transitive property and it is also called syllogism law.
For example,
if it rains (a), then the cricket field will be wet (b), this means a ⇒b
If the cricket field wet(b), then the game will be cancelled(c), this means b ⇒c
if it rains (a), then the game will be cancelled(c), this means a ⇒ c
So it is a valid conclusion. This is called syllogism law.
this math problem is hard
The Voyager 2 space probe took 2 years to make its closest approach to Jupiter. How many months did it take Voyager 2 to reach Jupiter? (1 year = 12 months)
Ron needs paper for his class project. He buys 5 packs of paper and uses all but 3 pieces. If p stands for the amount of paper per pack, which expression can he use to find out the number of papers that he used?
if m 6 =50 then find m 11
The question about finding the value of m 11 based on m 6 cannot be answered with the information provided. Additional context or a specific formula is needed to make a calculation.
Explanation:It appears that there might be a misunderstanding in the question, as the provided information is not sufficient to determine the value of m 11 based on the value of m 6. The references provided deal with various scientific and mathematical concepts that do not seem directly related to one another and therefore do not give a clear method for calculating m 11 from m 6.
Additional context or information such as a specific formula, sequence, or relationship between m 6 and m 11 would be necessary to provide an accurate answer. Without this information, it's not possible to calculate m 11.
if 30% of the students in Miss World was class like chocolate ice cream then how many students are in her class if 6 students like chocolate ice cream
me n my dad share the cost of a meal the ratio of 2:3 i payed £52.20 whats the total cost of the meal
For what values of m does the graph of y=mx^2-5x-2 have no x-intercepts
What is m? 128° 173° 192° 256°
173 is the answer
The status of a statement is either true or false geometry
Lucy is making a smoothie by following the recipe below
If 1 mile equal to 1.61 kilometers, how many kilometers are there in 50 miles
The cover of a jacuzzi is a regular pentagon. If the side measures 2.5 feet and the apothem is 1.7 feet, find the area of the lid used to cover the Jacuzzi
What is the principal if the amount is $1056,the time is 4 years,and the rate is 8%?
The principal amount is calculated using the formula for simple interest. By rearranging the formula and inputting the given values for the amount, time, and interest rate, the principal is determined to be $800.
To find the principal if the amount is $1056, the time is 4 years, and the rate is 8%, we can use the formula for simple interest which is:
Amount = Principal + (Principal × Rate × Time)
Rewriting the formula to solve for principal (P), we get:
Principal = Amount ÷ (1 + Rate × Time)
Substituting the given values:
Principal = $1056 ÷ (1 + 0.08 × 4)
Principal = $1056 ÷ (1 + 0.32)
Principal = $1056 ÷ 1.32
Principal = $800
Therefore, the principal is $800.