f(x) = sqrt(2x); g(x) = sqrt(8x) Find (fg)(x) Assume x >= 0
The functions f(x) and g(x) combine to form a composite functions
The value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]
How to determine the function (fg)(x)The functions are given as:
[tex]f(x) = \sqrt{2x[/tex]
[tex]g(x) = \sqrt{8x[/tex]
To calculate (fg)(x), we have:
[tex]f(x) = \sqrt{2x[/tex]
This gives
[tex]f(g(x)) = \sqrt{2g(x))[/tex]
Substitute [tex]g(x) = \sqrt{8x[/tex]
[tex]f(g(x)) = \sqrt{2*\sqrt{8x}[/tex]
Simplify
[tex]f(g(x)) = \sqrt{4\sqrt{2x}[/tex]
Hence, the value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]
Read more about composite functions at:
https://brainly.com/question/10687170
Answer:
f.g x = 4x
Step-by-step explanation:
Herman and his dad are leaving early in the morning for his lacrosse tournament. Their house is 210 miles from the tournament. They plan to stop and eat after 2 hours of driving, then compete the rest of the trip. Herman's dad plans to drive at an average speed of 60 miles per hour. How long will the second part of the trip take
The second part of the trip took 1.5 hours.
Average Speed is the ratio of the total distance travelled to the total time taken to cover that distance. It is given by:
Average Speed = total distance ÷ total time
Given that the distance from the house to the tournament is 210 miles, hence:
Total distance = 210 miles
Also, The journey was in two parts, the first part took 2 hours. Let the second part take t hours. Therefore:
Total time = t + 2
The average speed of 60 miles per hour, hence:
60 = 210 ÷ (t + 2)
60(t + 2) = 210
60t + 120 = 210
60t = 90
t = 1.5 hours
Therefore the second part of the trip took 1.5 hours.
Find out more at: https://brainly.com/question/9834403
Chanyeol makes a rectangle whose area is x^2 - 24x - 52. Find the possible dimension of the rectangle.
A. (x - 2) (2x - 1)
B. (x + 3) (x)
C. (x + 2)(x + 4)
D. (x + 2) (x - 26)
Answer:
D
Step-by-step explanation:
Factor the equation.
x² - 24x - 52
Two numbers when multiplied equals to -52 and added equals to -24 are -26 and +2.
Therefore,
(x+2)(x-26) is the right answer.
solve the equation and show work
2 (f - 2) = 3 (2f + 5) -8
Answer:
f=-2.75
Step-by-step explanation:
2(f-2)=3(2f+5)-8
2f-4=6f+15-8
2f-6f=7+4
-4f=11
f=-11÷4
=-11/4=-2/3/4=-2.75
8th Grade
Can you help me please, and how did you get your answer. I don't know how to do this.
Look at Image
Answer:
y= 3 when x= 0
y=3
Step-by-step explanation:
in the problem, there's a patten in the difference of X and Y,
at first, Y is 3 more than X (2 and 5)
then y is 4 more, 5 more, and 6 more.
y goes up by 1 each time
so if Y is 5 when X is 2, then when X is 1 Y is 4
when X is 0 Y is 3
Answer:
2?
Step-by-step explanation:
y is adding by 3 every time...
Maybe that helps?
Help please i need the answer by tonight for my grades
Answer:
X equals negative 11
Step-by-step explanation:
The angles in a triangle add up to be 180 degrees, and we already have 80 as one angle and 60 as the other. That equals 140 degrees. But now we have x+51. That would equal 191 degrees, so 191-180=11, so x= -11
Answer:
x=-11
What we know=
Angles A'=x+51
Angle B=60
Angle C=80
Angle B' and C'=?
Due to the vertically opposite angle rule, we know angle B' and C' are the same as angle B and C.
So, angle B' is 60 degrees. Angle C' is 80 degrees.
We can add them together to get 140 degrees.
So we have 140, x+51. We can make an equation.
[tex]180=140+51+x[/tex] We can combine like terms (140 and 51) to get 191
A triangle only adds up to 180 degrees. So now you can subtract 180-191=to get x.
Each student that buys school lunch pays $2.75. The cafeteria typically brings in between $1168.75 and $1438.25. How many students does the cafeteria usually serve?A. Model this situation using an inequality.B. Describe in words the quantities that would work in this situation.C. Write your answer in both interval and set notation.Your answer:
answer po plss plss plss
Answer: OPTION A. 72
To find the difference beetween two numbers we need to subtract them.
So we need to figure out 46- (-26)
⇒46-(-26)
AS WE HAVE A NEGATIVE SIGN OUTSIDE THE BRACKET AND A NEGATIVE SIGN INSIDE THE BRACKET TO, THE NEGATIVE SIGN WILL GET MUTILPLIED TO THE NEGATIVE BEFORE THE BRACKET THUS WE WILL HAVE -×- AND WHEN SIGN IS MULTIPLIED WITH A NOTHER NEGATIV ESIGN THE PRODUCT IS POSITIVE SIGN SO,
46+26
⇒72
Please help me last day to do this
Answer:
Q = 51, S = 51, R = 78
If a horse runs 3/4 km in a minute, how many kilometers will the horse run in 7 minutes?
Show that the equation x^3 + 6x - 5 = 0 has a solution between x = 0 and x=1
Answer:
Step-by-step explanation:
Solve the equation for 0 and 1:
x^3 + 6x -5
Replace x with 0:
0^3 + 6(0) -5 = -5
Replace x with 1:
1^3 + 6(1) -5 = 1+6 -5 = 2
Because the value of f(0) is negative and the value of f(1) is positive then there is at least one value of x between 0 and 1 that f(x) = 0
Which value in scientific notation is the best estimate for 0.0000058102?
A.
5 × 10-5
B.
6 × 10-5
C.
5 × 10-6
D.
6 × 10-6
Answer:
option C 5×10-6 is right answer
Answer:
[tex]c \: ) \: 5 \times 10 - 6[/tex]
c is the answer
A bus pass has a starting value of $100. After one ride, the value of the pass is $98.25. After two rides, its value is $96.50. After three rides, its value is $94.75.
1. Write a rule to represent the remaining value on the card as an arithmetic sequence.
# of Rides Bus Pass Value Rule
0 $100.00
1 $98.25
2 $96.50
3 $94.75
15 _____
2. What is the value of the pass after 15 rides?
3. How many rides can be taken with the $100 pass? (hint: set up an equation y=mx+b using the cost per ride as your NEGATIVE “m” value because your value goes down each time you ride and $100 as your starting “b” value. We’re solving for x when the total is 0. So, 0 = -___x + 100, fill in the blank with the cost per ride and solve for x.)
Answer:
73.75
Step-by-step explanation:
every ride the bus pass value goes down by 1.75 so we can use that to figure out what the 15th ride would cost. if you multiply 1.75 x 15 you will get 26.25. Now subtract 26.25 from 100 to get 73.75. Hope i helped! :)
Help ASAP I’ll mark you as brainlister
Answer:
about 0.10 cents a unit
Step-by-step explanation:
If I'm wrong, I'm sorry!!
I hope you have a great day! Good luck with your math!
A model of a building is 18 inches tall. If the building is really 678 feet tall, how tall is a window that is 1/9 in on the model? Round to the nearest tenth if needed.
Answer:
50.2in or 4.2ft
Step-by-step explanation:
This is a problem about proportions so I generally set up my problems like below. I just set some variable here to make it easier to refer back to the measurements for each. You don't have to do this, I am just showing it for clarity. I will convert everything to inches too. We need to find the real window height.
Mb = model building = 18in
Mw= model window = [tex]\frac{1}{9}[/tex]in
Rb = real building = 678ft = 8136in
Rw = real window = ?
[tex]\frac{Mw}{Mb}[/tex] = [tex]\frac{Rw}{Rb}[/tex]
[tex]\frac{1/9}{18}[/tex] = [tex]\frac{Rw}{8136}[/tex]
[tex]\frac{1}{9*18}[/tex] = [tex]\frac{Rw}{8136}[/tex]
[tex]\frac{1}{162}[/tex] = [tex]\frac{Rw}{8136}[/tex]
[tex]\frac{1*8136}{162}[/tex]= [tex]\frac{8136*Rw}{8136}[/tex]
[tex]\frac{8136}{162}[/tex] = Rw
[tex]\frac{452}{9}[/tex] = Rw
Rw ≈ 50.2in ≈ 4.2ft
-1 2\5 + 4\9 expression equilvant plzz fast
Answer: -0.9555556
Step-by-step explanation:
Evaluate the expression
-2(12 – 2(-4))?
Find the linear correlation coefficient for the table below. Keep 4 numbers AFTER the decimal
х
у
1
5
3
7
1.5 6
0
1
5
9
10 10
5
8
11
12
15 20
Answer:
no answer sorry I only study in class 7
Find the distance between the points (7, –5) and (–2, –4).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
ALL MY POINTS
9.055
Step-by-step explanation:
distance
= √(x₁ - x₂)² + (y₁ - y₂)
= √[7 - (-2)]² + [-5 - (-4)]²
= √[9]² + [-1]²
= √(81 + 1)
= √82
≈ 9.055
please respond quickly plz and thank you at least by 2:38
Answer:
bru im confused
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
because I think it makes sense if I'm wrong I'm am very sorry
find the slope of the line
Which situation results in a final value of zero?
the overall change in temperature when the temperature goes from -10°F to 10°F
the total profit made when a person buys an item for $3 and then sells the item for $3
the overall change in altitude of a hot air balloon after rising 21 kilometers from sea level
the total distance a person travels when he bikes 5 miles to school and then bikes 5 miles back home
What is the length of time
passed from 7:30 a.m. to 4:30 p.m.?
Answer:
9 hours
Step-by-step explanation:
12 minus 7.5 equals 4.5 add 4.5 from 4:30 you get 9
Help pls
Only number one
UWU
What is 38 + 7k = 8(k + 4)
Steps
38 + 7k = 8k + 32
38 + 7k - 38 = 8k + 32 - 38
7k = 8k - 6
7k - 8k = 8k - 6 - 8k
-k = -6
-k/-1 = -6/-1
k = 6
Answer
k = 6
Please help with this question
Answer:
24
Step-by-step explanation:
To solve, subtract:
111-87= 24
Hope this helps!
Graph the following system of inequalities.
y<2x+1
y<-x-1
9514 1404 393
Answer:
X.
Step-by-step explanation:
The inequalities tell you the graph is below a solid line that goes up to the right, and below a dashed line that goes down to the left. The upward sloping line has a slope of 2, so is steeper than the downward sloping line that has a slope of -1.
The colored portion will be in the bottom quarter of the X made by the crossing lines. The appropriate graph is X.
using a number line, find both the intersection and the union of the following interval: (-∞, 7) and [-5, +∞)
Step-by-step explanation:
the intersection of the interval: (-∞, 7) and [-5, +∞)
is [-5, 7)
and the union of the interval: (-∞, 7) and [-5, +∞)
is (-oo, +oo)
THE ONES THAT ARE IN GREY ARE THE ANSWER OPTIONS.
Answer:D
total 450 marks 90 of which are maths
90/450= 0.2
0.2=20%
20% is D
Step-by-step explanation:
Answer:
the answer is D
Step-by-step explanation:
90/450=2/10
A speedboat travels 18 miles in 12 minutes.At this rate, how far will the boat go in 1hour? (12 minutes = hour)
Answer:
find the speed for one minute which would 18 divide by 12 which is 1.50 after multipy by 60 because 60 minutes equals 1 hour
Step-by-step explanation: