The given function, f(x) = x, and the function with an input of f(x - 3), which is a transformation of the function f(x), moving it three places to the right, gives the points on the graph of the function as the option;
(negative 1, negative 4), (0, negative 3), (3, 0)
What is the transformation of a function?The transformation of a function involves moving the curve or line that represents the function either left, right, down, or up, reflect the graph or compress or expand the curve of the graph of the function.
The given graph is for the function is f(x) = x, the required graph is the graph of the function, f(x - 3), which is evaluated as follows;
Given f(x) = x, we have, f(x - 3) = x - 3
The table of values for both functions is presented as follows:
x; -4, -3, -2, -1, 0, [tex]{}[/tex]1, 2, 3, 4, 5
f(x) [tex]{}[/tex] -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
f(x - 3)[tex]{}[/tex] -7, -6, -5, -4, -3, -2, -1, 0, 1, 2
From the above table of values, the points on the function, f(x - 3) are; (-1, -4), (0, -3), (3, 0)
The option which gives the points on the graph that shows the function f(x) with an output of f(x - 3) is therefore;
(negative 1, negative 4), (0, negative 3), and (3, 0)Learn more about the transformation of functions here:
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Answer: b
Step-by-step explanation:
got it right on edge
Given the following number in standard form, how would you represent the number in the hundreds place using expanded exponential notation?
7321
Answer: 3*10^2
====================================
Work Shown:
7321 = 7000 + 300 + 20 + 1
7321 = 7*1000 + 3*100 + 2*10 + 1*1
7321 = 7*10^3 + 3*10^2 + 2*10^1 + 1*10^0
Side note: The exponents count down 3,2,1,0. You can think of a similar thing like 7x^3+3x^2+2x+1 and simply replace x with 10.
Given m∠2=130°, what is m∠9?
m-9 is 50 using the laws
Hello, can someone pls help me ty!
Answer:
C, 5/2
Step-by-step explanation:
3 I2x -1I + 4 = 16
Isolate absolute value:
3 I2x -1I + 4 - 4 = 16 - 4
3 I2x -1I= 12
(3 I2x -1I) / 3 = 12 / 3
I2x -1I= 4
Since the question is only asking for the positive, all you need to solve for is the +4. Solve for x
2x -1 = 4
2x -1 + 1 = 4 +1
2x = 5
2x / 2 = 5 / 2
x = 5/2 or C
Tres aviones salen a la misma hora de un mismo aeropuerto, el primero sale cada 8 dias, el segundo cada 10 dias, y el tercero cada 20 dias. Si salen el 2 de enero, ¿cuales seran las fechas proximas en que volveran a salir juntos? ( el año es de 365 dias)
Responder:
Después de 40 días (11 de febrero)
Explicación paso a paso:
Dado que :
El avión 1 sale cada 8 días
El avión 2 sale cada 10 días
El avión 3 sale cada 20 días
Si todos se van el 2 de enero; La próxima fecha en que se irán juntos se puede obtener obteniendo el mínimo común múltiplo de los días de cada avión:
___8____10_____20
2 | _4____5______10
2 | _ 2____5______ 5
2 | _ 1 ____5______ 5
5 | _ 1 ____ 1 ______ 1
El mínimo común múltiplo es, por tanto;
2 * 2 * 2 * 5 = 40
Todos se irán juntos nuevamente después de 40 días:
(2 de enero + 40 días) = 11 de febrero
Danielle used 8 centimeters of tape to wrap 4 presents.
How many presents did Danielle wrap if she used 30
centimeters of tape?
Answer:
7
Step-by-step explanation:
8/4 =4/1 to 30/?
30/4=7.4
7.4
30/7.4=7
(f + h)(x)
given f(x)= 3x-2x+4, g(x)= 8x-2, h(x)= 3x +2
Answer:
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(
g
f
)(x)=
4−5x
3x+2
Step-by-step explanation:
A bag with quarters and nickels contains 87 coins.The total amount is $7.35. How many quarter and nickels are in the bag
Answer: 72 nickels and 15 quarters
Step-by-step explanation:
72 times .05 = 3.6 or $3.60
15 times .25 = $3.75
Total = $7.35
.05 is representing the nickels and .25 is representing the quarters and if you take a calculator and do 87-72 you get 15 and you can set it up yourself to double check. But I wouldn't recommend doing it with pennies that's how I got confused so many times and you can also give yourself a similar problem if you want to make sure you know how to do it. Sorry if this was confusing.
ANSWER THIS ASAP !!!!
Answer: f(-5)= 7
Step-by-step explanation:
The x value is -5 so look for the y value of the x value which is 7
Answer:
f(-5) = 7
Step-by-step explanation:
f(x) is referring to the y value, so what it is equal to would be the x value at that spot
in this case the y value is -5 so the x value is 7
Summarize the two different ways an exponential
equation can be solved.
Answer:123
Step-by-step explanation:123
PLEASE HELP!!
When solving equations containing rational expressions, which of the following is a true statement?
A. The multiplication property of equality only applies to equations where the rational expressions are identical.
B. The solution to an equation with rational expressions must be a rational expression.
C. There is no need to check the solution to an equation with rational expressions since it is guaranteed to be right.
D.The addition property of equality applies to equations with rational expressions.
Answer:
D.The addition property of equality applies to equations with rational expressions.
Step-by-step explanation:
Answer:
The addition property of equality applies to equations with rational expressions.
Step-by-step explanation:
just trust me
Solve for m.
5 + 2m = 9
Answer:
m = 2
Explanation:
help meeeeeeeeeeeeeeeeeeeeeef(x) = 2x - 7. evaluate f(0.5)
Answer:
f(x)=-6
Step-by-step explanation:
f(0.5) means that x=0.5, so you substitute the x with .5 and multiply it times 2 which will get you 1. Then you subtract 7 to get -6.
Answer:
f(0.5)=-6
Step-by-step explanation:
f(x)=2x-7 f(0.5)
Just put in 0.5 for the x.
f(x)=2(0.5)-7
f(x)= 1 - 7
f(0.5) = -6
I hope you understand how to do these
Hope this helped :)
pleas help me quickly !
Answer:
-36
Step-by-step explanation:
-(36/-6) to the power of 2 is -36.
Solve for t
5t - 2 = 6t - 7
Answer:
The answer to the question is 5 (positive 5)
You pay $45 per month for cable TV. Your friend buys a satelliteTV receiver for $99 and pays $36 per month for satellite TV. Your friend claims that the expenses for a year of satellite TV are less than the expenses for cable TV in a year. Write and solve an equation to determine when you and your friend will have paid the same amount for TV services. Is your friend correct? Explain
Answer:
yes
Step-by-step explanation:
Yes, he is correct because he pays $36 a month with the satellite TV receiver he payed $135 that month.\But if we do 36x12=432+99=531and the cable tv cost 45x12=540 so even when we add the satellite TV receiver price on his ours is still more expensive
The required month in which both pay the same amount is 11 months. And our friend is right, satellite tv is less expensive than Cable Tv.
Given that,
You pay $45 per month for cable TV. Your friend buys a satellite tv receiver for $99 and pays $36 per month for satellite TV.
To determine when you and your friend will have paid the same amount for TV services.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
let x be the number of months,
According to the question,
For the cost of cable TV = 45x
For satellite TV = 99 + 36x
Now,
99 + 36x = 45x
99 = 45x - 36x
9x = 99
x = 11
Now cost at 12 months,
Cable = 45 * 12 = 540
satellite = 99 + 36 * 12 = 531
So, satellite tv is less expensive than Cable Tv
Thus, the required month in which both pay the same amount is 11 months. And our friend is right.
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A farmer has 48 feet of fence with which to make a corral. If he arranges it into a rectangle that is twice as
long as it is wide, what are the dimensions?
The shorter side is ?
feet while the longer side is ?
feet.
Answer:
The shorter side is 8 feet
the longer side is 16 feet
Step-by-step explanation:
lets call the shorter side x.
let's call the longer side 2x (because it's twice as long as the shorter side)
you know that the perimeter is 48 feet.
the perimeter would be 2(short side) + 2(long side)
using this, you can make the following equation:
2(x) + 2(2x) = 48
open the parenthesis.
2x + 4x = 48
6x = 48
x = 8
2x = 16
Which of the following would be a good name for the function that takes the length of a race and returns the time needed to complete it O A Length(time) O B. Timelength) O C. Costume D. Timerace
Answer:
The answer would be B, Time(Length)
Step-by-step explanation:
You simply replace the two values and get (x,y).
As a director of operations for a fast-food company, you oversee two of the company's restaurants. One of the stores reports their revenue for the year as 0.15 of the company's revenue, and the other restaurant reports 21% of the company's revenue. What is the total percentage of the company's revenue that your two stores report? 3.6% 6% 21.15% 22.5% 36%
Answer:
Total = 36%
Step-by-step explanation:
Given
Company A = 0.15
Company B = 21%
Required
Determine the total revenue
Total is calculated as thus:
Total = Company A + Company B
Total = 0.15 + 21%
Represent 0.15 as %
Total = 0.15*100% + 21%
Total = 15% + 21%
Total = 36%
A suite in a deluxe hotel is rented for 1, 2, or 4 days. The
hotel charges a $100 deposit and $100 per day. Identify the
function that describes this situation and its domain and
range.
Answer:
f(d) = 100 + 100d
D = {1, 2, 4}
R = {$200, $300, $500}
Step-by-step explanation:
you just gotta look and remember about the first 100 day depossit which would make the prices go up
Write this polynomial expression in its simplest form. Show your work.
Step-by-step explanation:
(3x² + 4x - 8) - (-2x² + 4x + 2)
[3 - (-2) = 5] , [ 4 - 4 = 0] , [ (-8) - 2 = -10]
5x² + 0x - 10
(or)
5x² - 10
Answer:
5x² - 6Step-by-step explanation:
Simplify
(3x² + 4x - 8) - (-2x² + 4x + 2) =3x² + 4x - 8 + 2x² - 4x - 2 =(3 + 2)x² + (4 - 4)x - (8 - 2) =5x² + 0x - 6 = 5x² - 6Help needed ASAP will give brainliest and 5 stars rate :)
Answer:
30km/h
Step-by-step explanation:
takes 4 hours to go 120km so 120/4=30 so they travel 30 km in one hour
One and two step equations
Answer:
5 hours have passed.
Step-by-step explanation:
82 + 0.6x = 85
0.6x = 3
x 5
a child swim 25 yards in 12 seconds how many feet can he swim per second
Answer:
About 2 seconds
Step-by-step explanation:
25/12
2.0833333333333333333333333333333333333333333333333333333333333333................
Write the coordinate of G'after G(1, 2) was reflected over the line y=x.
Answer:
(-1,2)
Step-by-step explanation:
Answer:
(2,1)
Step-by-step explanation:
A teacher can spend as much as $125.00 to take students to a movie.
A movie theater charges a $10.00 group fee and $5.50 per ticket.
What is x in the problem?
Answer:
x is the per ticket, for example it would be 5.50x + 10.00 = 125.00
Step-by-step explanation:
Solve for 1.
3t - 2 = -11
OA. -12
OB. -11
O c. 9
D. -3
Answer:
B
Step-by-step explanation:
Answer:
t = - 3
Step-by-step explanation:
Assuming you mean solve for t:
[tex]3t-2=-11\\\\3t-2+2=-11+2\\\\3t=-9\\\\\frac{3t=-9}{3}\\\\\boxed{t=-3}[/tex]
Hope this helps.
HELPPP PLEASEE!!!!
find value of x and y
Answer:
x = 74, y = 53
Step-by-step explanation:
x and 106 are supplementary angles, they add to 180. 2y and x are also supplementary angles, and using substitution, you get 2y is equal to 106, so y is 53. x will be 74 degrees.
Jill earned $40 from a carpool plus $9 per hour (h) babysitting this week. Which of the following expressions best represents Jill's income for the week?
A 9 + 40h NEED HELP PLZ SOMEONE :(
B 9 + h + 40
C 9h + 40
D 9 + 40
Answer:
9h + 40
Step-by-step explanation:
Since Jill earns 9 dollars per hour, you multiply the amount of hours she works by the amount she makes per hour (9h), then you add 40 which is a set amount.
y = 9h + 40
if his conclusion is correct, which substance could he have been observing and why?
Answer:
The answer is B, baking soda and vinegar.
a + 65 = 92
please help
Answer:
a=27
Step-by-step explanation:
Answer:
a = 27
Step-by-step explanation:
a + 65 = 92
subtract 65 from both sides
a = 27
