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:
NEED ANSWERS QUICK! WILL MARK BRAINLIEST!
What is the m 12 in matrix M?
M = 8 7 4
2 0 5
a) 2
b) 7
c) 5
d) 4
I need help pls help me
What are the dimensions of the product matrix of two of these matrices?
Answer:
BD= 2 x 1 CA= 1 x 2 BC= 2 x 3
Step-by-step explanation:
What is the sign of a• (-b/b) when a=0 and b < 0
Answer:
Positive
Step-by-step explanation:
What is the RANGE of the graph
R: (-4,∞)
Lowest value of y is -4 and the graph goes on upwards continuously. The equation of the function is x^2 - 4
Find the value of x. If necessary, round to the nearest tenth.
Answer:
the answer is 7 i believe
help me pls brainliest shall be reward :(
Answer:
B
Step-by-step explanation:
A: Also could be written as 0-5: its a division.
B: Also could be written as -1(5+5). The final answer is -10 and its an addition of 5 and 5.
C: Its a multiplication
D: Similar to B, it could be written as 5-5=0. Its a division of 5 and 5.
Hope this helps! If you still have a question feel free to ask it in the comment section below!
Cheers!
What is thissss someone help
Answer:
1. Neither
2. Odd
3. Odd
4. Even
Step-by-step explanation:
Graphically, an equation is even if it is symmetrical across the y-axis. An equation is odd if it is symmetrical after folded over y and x. An equation is neither if it fulfills neither requirement.
Algebraically, an equation is even is f(x) = f(-x), and an equation is odd if f(-x) = -f(x).
Hope it helps :) and let me know if you want me to elaborate.
Which expression is equivalent to 0.75x?
A) 1 - 0.25%
B) 0.75x - X
CX + 0.75
D x - 0.25x
Answer:
C
Step-by-step explanation:
trust
The answer is D. x- 0.25x
If the number that we have is .75x, then we will only have 3 quarters of our total and will take one quart away. 25 is one quarter.
HOPE THAT HOPES! & don't forget to drink water!!
A student writes the equation for a line that has a slope of -6 and passes through the point (2, –8).
y -(-8) = -6(x - 2)
y -(-8) = -6x + 12
y -(-8) + 8 = -6x + 12 + 8
y = -6x + 20
Explain why the work is not correct.
Answer:
The student should subtract 8 from each side not add 8
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - -8 = -6(x -2)
y+8 = -6(x-2)
Distribute
y+8 = -6x+12
Subtract 8 from each side
y+8-8 = -6x+12-8
y = -6x+4
The student should subtract 8 from each side not add 8
Answer:
y -(-8) = -6(x - 2)
y -(-8) = -6x + 12
y -(-8) + 8 = -6x + 12 + 8 (this step is incorrect as minus into minus is plus therefore when taking 8 to the right hand side we must subtract it from the left hand side
y = -6x + 20
the correct equation would be : y= -6x+4
Plz help it’s due tonight!!!
La gran pirámide de Guiza se terminó de construir alrededor del año 2570 antes de nuestra era ¿Cuántos milenios han transcurrido desde entonces?
Answer: La Gran Pirámide de Giza se terminó en 2490 a. C.
Tiempo necesario para construir la Gran Pirámide de Giza: 2550 a 2490 a. C.
Chicken Itza se construyó alrededor del año 600 d.C.
Step-by-step explanation:
A cricket bat is bought for $400. Later, it is sold with a loss of 15%. How much is the cricket bat sold for? =
After selling the cricket bat, how much money has been lost? Give your answer to two decimal places because it is a currency.=
Answer:
$340.00
Step-by-step explanation:
What I like to do first is find 10% of the number.
So 10% of 400 would be $40.
Then find half (5%) of the 10% ($40), which would be $20.
Add the $40 + $20 to get $60.
Then take $400 and subtract $60,
which gives you $340.00
Pls Help
A sporting goods manufacturer requires 5/6 yd of fabric to make a pair of soccer shorts. How many shorts can be made from 35 yds of fabric?
Answer:
[tex]42[/tex]
Step-by-step explanation:
Another way to look at this question is: We make 5/6 yards of fabric from each pair of shorts. How many shorts do we need to make 35 yards of fabric.
So, we need to solve this equation for [tex]x[/tex]: [tex]x*5/6=35[/tex].
We can multiply both sides of the equation by [tex]6[/tex] to get [tex]x*5=210[/tex].
We then divide by [tex]5[/tex] on both sides to get [tex]x=42[/tex].
So, we can make [tex]\boxed{42}[/tex] pairs of soccer shorts.
-50= 6a+28 please help
Answer:
a=-13
Step-by-step explanation:
-50=6a+28
isolate the a
-50-6a=28
-6a=28+50
-6a=78
divide both sides by -6
a=-13
NEED HELP BADLY IM SO DESPARTAE PLEASE DUE TOMMORWOW
Answer:
A.)16:25 B.)15:45 C.)7:10 am D.)5:30 pm
Step-by-step explanation:
Pls answer ASAP timed assignment
Answer:
C) Point B is a reflection of point A along the Y-Axis
Step-by-step explanation:
I plotted it on a graph, and it turned out to be an exact mirror reflection.
Hope This Helped!
Tell the mistake that was made in solving this equation. Tell the answer and one thing that is important to remember when simplify.
-8y+5x+3y-9x
-11y+5x+-9x
-11y+14x
Answer:
-8y + 5x +3y-9x
-8y+3y+5x-9x
-5y-4x
Diana owns a novelty shop in downtown San Antonio. She ordered a shipment of 48 party hats. Of the 48 hats that she ordered, 25% were blue. How many of the hats are blue?
Answer:
12
Step-by-step explanation:
48 divided by 2 is 24 which means 48 divided by 4 is 12
Write an equation in slope intercept form that contains the points (-6,3) and
(-2,1)..
Answer:
y= (-1/2)x+1
Step-by-step explanation:
The general equation of a line in the slope intercept form is y= mx+b, where
m = the slope, and b = y-intercept (where the line crosses the y-axis)
for points (x1 = -6, y1 = 3) and (x2 = -2, y2 = 1)
m= (y2-y1)/ (x2-x1) = (1 - 3)/ (-2 - -6) = -2 / 4 = -1/2
the equation is now y= (-1/2)x+b
substitute the x and y coordinates of any of the points in the equation
for point (-2, 1) we will have 1 = (-1/2)(-2)+b, so b=1
The equation in slope intercept form that contains the points (-6,3) and
(-2,1) is y = (-1/2)x+1
You and 3 friends are going to the country fair. You have a coupon that will save your group $20. If the total bill to get into the fair was $100, how much does one regular price ticket to the fair cost?
Answer:
30$
Step-by-step explanation:
lets assume you didn't have a coupon then the total bill would have been 120$
so for 4 friends including u the bill would have been 120$
: 4 friends = 120 $
for : 1 friend = x$
cross multiply
4x = 120 × 1
4x =120
divide both sides by the coefficient of x
x =120 \ 4
x = 30$
therefore: 1 friend = 30$
lane's family goes to the local science museum. The cost for parking is $7.00. The price
of admission is $12.00 per person. If Jane's family spends $67.00 total, how many people
are in Jane's family?
Answer:
5
Step-by-step explanation:
First you must deduct 7 dollars immediately, then you divide 60 by 12
Given j∥k and m∠1=40°. What is m∠6 ? Enter your answer in the box.
Answer:
140
Step-by-step explanation:
Write the word sentence as an inequality
6 times a number x is at most 47
Writing as a word sentence, the inequality is:
[tex]6x \leq 47[/tex]
6 times a number x is 6 multiplied by x, that is: [tex]6x[/tex].At most 47 means that it is less than, or equals, to 47, hence:[tex]6x \leq 47[/tex]
Hence, the desired inequality, from the given word sentence, is:
[tex]6x \leq 47[/tex]
A similar problem, in which a word sentence is written as an inequality, is given at https://brainly.com/question/11713066
Simplify each expression:
( 5a^2b^3)(4ab^5)
Answer:
20a^3 b^8
Step-by-step explanation:
( 5a^2b^3 ) ( 4ab^5 )
= ( 5 . a^2 . b^3 ) ( 4 . a . b^5 )
= ( 5 . 4 ) ( a^2 . a ) ( b^3 . b^5 )
= 20 ( a^2 . a^1 ) ( b^3 . b^5 )
= 20 ( a^( 2 + 1 ) ) ( b^( 3 + 5 ) )
= 20 ( a^3 ) ( b^8 )
= 20a^3 b^8
Taylor states that 2,800,000 in scientific notation is 2.8 x 10 -6 because the number has six places to the right of the 2. Is Taylor's reasoning correct?
Scientific Notation is the way of writing a number or expressing them in a shorter or more compact way.
No, Taylor's resoning is incorrect because 2,800,000 = [tex]2.8 * 10^{6}[/tex]
From the question, we are given:
2,800,000 .
2,800,000 in scientific notation is [tex]2.8 * 10^{6}[/tex].
The reason the power is not to the negative 6 is that we are moving from the right-hand side to the left-hand side 6 times.
Therefore, Taylor's reasoning is incorrect.
To learn more, visit the link below:
https://brainly.com/question/22241437
Sort the cultural values and beliefs about women into the appropriate categories. Decide whether each was common
before or after changes in the late 1800s.
Answer:
before: unable to own property, too delicate to do sports, unequal to men
after: able to attend college, could earn money from work, had a voice in government
Step-by-step explanation:
which of the following pairs are twin prime a,3 and 5
Answer:
3 and 5 are prime twin?
Huh?
What is 25% of $30?
Somebody please explain with proof thanks!
Answer: 7.5$
Step-by-step explanation:
it is 7.5$ because pretend 25% is a quater 4 quaters = 1 $ so if u do 7.5 x 4 it = 30$ hope this helped :)
Leah has a points card for a movie theater. • She receives 30 rewards points just for signing up. • She earns 2.5 points for each visit to the movie theater. • She needs 50 points for a free movie ticket. Write and solve an equation which can be used to determine v, the number of visits Leah must make to earn a free movie ticket.
Answer:
2.5v+30=50
V=8
Step-by-step explanation: