Answer:
f(g(2))=7
Step-by-step explanation:
The Composite Function
Given f(x) and g(x) as real functions, the composite function [tex](f\circ g)(x)[/tex] is defined as:
[tex](f\circ g)(x)=f(g(x))[/tex]
It can be found by substituting g into f.
The given functions are:
[tex]f(x)=4x+3[/tex]
[tex]g(x)=x^2-3[/tex]
It's required to find f( g( 2 ) )
Find g(2):
[tex]g(2)=2^2-3[/tex]
Operating:
[tex]g(2)=4-3 =1[/tex]
g(2)=1
Now find f(1):
[tex]f(1)=4(1)+3[/tex]
[tex]f(1)=4+3 =7[/tex]
Thus:
f( g( 2 ) )=7
When I flew from Atlanta to New York, the plane flew
866 miles in 4 hours. What is the unit rate of miles per
hour?
Answer:
216.5
Step-by-step explanation:
866/4
216.5
Answer:
216.5 miles per hour.
Step-by-step explanation
This is a fraction equal to
866 miles ÷ 4 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 4
866 miles ÷ 4
4 hours ÷ 4
=
216.5 miles
1 hour
=
216.5 miles
hour
A local little league has a total of 145 players, of whom 80% are right-handed. How many players are NOT right-handed?
Find the number for which: a. 20% is 16 b. 1.5% is 60
Answer: 1) 80
2) 4000
Step-by-step explanation:
10% of the 150 students in sixth grade are on the student council. How many sixth graders are on the student council?
plz help
Answer:
The answer is 15.
Step-by-step explanation:
10% of 150 is 15. (you can take away the zero)
Answer:
15 six graders would be in student council
Step-by-step explanation:
150/10
If tano =
12\5
and coso
5\13
then what is sin ?
1
OA.
12
OB.
5
13
O c.
5
13
OD.
12
13
O E
12
13
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \cos( \alpha ) = \frac{5}{13} \\ [/tex]
[tex] \tan( \alpha ) = \frac{12}{5} \\ [/tex]
[tex] \tan( \alpha ) = \frac{ \sin( \alpha ) }{ \cos( \alpha ) } \\ [/tex]
[tex] \frac{12}{5} = \frac{ \sin( \alpha ) }{ \frac{5}{13} } \\ [/tex]
Multiply sides by 5 / 13
[tex] \frac{5}{13} \times \frac{12}{5} = \frac{5}{13} \times \frac{ \sin( \alpha ) }{ \frac{5}{13} } \\ [/tex]
[tex] \frac{5 \times 12}{5 \times 13} = \sin( \alpha ) \\ [/tex]
[tex] \frac{12}{13} = \sin( \alpha ) \\ [/tex]
[tex] \sin( \alpha ) = \frac{12}{13} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The angle bisectors of triangle XYZ meet at point P. What is the measure of angle PYK
Answer:
Step-by-step explanation:
m∠PYK = 27°
HELP PLEASEEEEEEEEEEEEEE
Answer:
the answer is 7/6 cups
Step-by-step explanation:
You add 1/2 + 2/3 and then you make sure the denominators are the same. It will turn into 3/6 + 4/6 and when you add that you get 7/6 cups.
Answer:
it is answer C: 7/6
Step-by-step explanation:
1/2 = 0.50 ( division )
2/3 = 0.66 ( division )
0.50 + 0.66 = 1.16 ( addition )
answer c is 7/6 .... 7 divided by 6 is 1.16.
Can someone help me answer this question X= 6 6 6 6
Answer:
Would it be 90 degrees?
Step-by-step explanation:
Answer:
X=1296
or if your trying to look for the area it would be x=1111
its basically length times width
If 18,x+15,27 and 2x+7 are in proportion,find the value of x
Step-by-step explanation:
slndkndjakabssj
pasensya na god bless!!!!
Suppose there are three types of consumers who attend concerts at your university’s performing arts center: students, staff, and faculty. Each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. There is a fixed cost of $1,000 to attend the concert, but there are essentially no variable costs.
For each concert:
• There are 150 students willing to pay $20.
• There are 200 staff members willing to pay $35.
• There are 120 faculty members willing to pay $50.
Answer: i. There are 140 students willing to pay $20.
ii. There are 200 staff members willing to pay $35.
iii. There are 100 faculty members willing to pay $50.
Step-by-step explanation: Suppose there are three types of consumers who attend concerts at Marshall university's performing arts center: students, staff, and faculty. Each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. There is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs.
For each concert:
A) If the performing arts center can charge only one price, what price should it charge? What are profits at this price? B) If the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits?
C) If the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?
Which angles are congruent in the isosceles triangle?
Angle CAB and angle BCA
Angle ABC and angle BCA
no angles are congruent
Angle CAB and angle ABC
Answer:
angle CAB and angle ABC
Step-by-step explanation:
angle CAB and angle ABC
see attached
5^2x=4 Plz Answer I can't figure it out!
Answer:
In decimal form 0.16
Step-by-step explanation:
in a small group of ducks, there are 6 males and 2 females, which ratio of males to females is an equivalent ratio
Answer:
for every 3 male ducks, there is 1 female duck
Step-by-step explanation:
3/1
Answer:
1 female per 3 males
Step-by-step explanation:
duh
Does the graph of the line shown below have a positive or negative slope?
Answer:
forgot to add it
Step-by-step explanation:
thx for points ig
do yall like star wars
Answer:
Yes, my favorite personally is the last jedi
Step-by-step explanation:
Answer:
I love star wars!
My personal favorites are The Clone Wars, The Phantom Menace, Revenge of the Sith, A New Hope, The Empire Strikes back, Return of the Jedi, and The Mandalorian. Just to name a few :P
Step-by-step explanation:
choose the opposite integer for: 100 feet below the surface
Answer:I think it’s 100
Step-by-step explanation:
It says that it’s 10p feet below the surface so that’s -100. It asks for the opposite of that so it’s 100
Answer:
-100
Step-by-step explanation:
Because it's opposite
In this figure,
AB | CD and
mZ2 = 60
m_6
What is
Enter your answer in the box.
Answer:
the measurement of angle 6 is 60
HELP MATH SUCKSSSSSSSSSSSS
Answer:
[tex]\huge\boxed{\sf Slope = \frac{1}{11} }[/tex]
Step-by-step explanation:
Given coordinates are (6,-3) and (-5,-4).
[tex]\sf Slope = \frac{y2-y1}{x2-x1}\\\\Slope = \frac{-4+3}{-5-6} \\\\Slope = \frac{-1}{-11} \\\\Slope = \frac{1}{11} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Classify the triangle by its sides.
Answer:
It would be C
Step-by-step explanation:
This triangle has two equal sides and one side that is not equal to the other two, so it is an isosceles triangle.
Answer:
A
Explanation:
Scalene triangle: if none of the three sides of a triangle are equal to each other, it is called a scalene triangle.
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
I don't understand what this is.
Step-by-step explanation:
ture or false: when you translate a figure in the coordinate plane, the number of units you translated is added to the y-coordinate.
Answer:
False
Step-by-step explanation:
Because a translation can increase or decrease both the x and the y.
what would you do with a TV if you are from the past and dont know to do with it
Answer:
lol I would think its some type of witchcraft. probably burn it!
This season, the number of points
Reggie scored was 36 less than 4 times
the number of points Larry scored.
Reggie scored 64 points this season. The
equation below represents this situation.
4n - 36 = 64
What does n represent in this equation?
A. the number of points Reggie scored
B. the number of points Larry scored
C. how many more points Reggie
scored than Larry
D. how
many points Reggie and Larry
scored in all
Answer:
The answer is A. The number of points Reggie scored.
Step-by-step explanation:
how do you solve f(x)= -(2x-3) (2x-4)
One card is selected at random from a deck of card. Determine the probability that the card selected is not a 4
Answer:
12/13
Step-by-step explanation:
A probability is the number of desired outcomes over the total number of outcomes.
Assuming that this is a standard deck of playing cards, there will be 52 cards, and there will be 4 "4" cards.
First, find the number of desired outcomes, and put it over the total number of outcomes.
Out of the total number of outcomes (52), there are 4 outcomes that are not wanted, hence the equation is:
52 - 4 = 48
So out of the 52 possible outcomes, 48 are desired. Set up the fraction and
simplify:
48/52
/4 /4
= 12/13
please need fast. A NASA spacecraft once landed on the surface of the asteroid named 433 Eros.This asteroid is near Earth and has an average orbital speed of 24.36 kilometers per second. What is its speed in meters per second? 0.02436 meters per second 0.2436 meters per hour 2,460 meters per hour 24,360 meters per second
Answer:
24360 m/secStep-by-step explanation:
Speed given
24.36 km/secConverting to m/sec
24.36 km/sec = 24.36*1000 m/sec = 24360 m/secLast option is correct
Answer:
D
Step-by-step explanation:
If it’s Edge quiz then D
Copying a Segment
Copy PQ to the line with an endpoint at R.
This task will be complete when you have
drawn an arc intersecting the line to create
a segment with length PQ.
R.
P
Q
Undo
Answer:
Following are the solution to this question:
Step-by-step explanation:
Please follow the given points:
start taking a compass to point of the protractor at Q. now quantify its arc PQ. Finish the arc compass equal to PQ. placed the compass at point R. now cut in line to the left of R with both the arc throughout the compass. let argument be P' and R is Q'. P' Q' is the new PQ image to the R endpoint.Simplify the expression
Answer:
B
Step-by-step explanation:
Answer: 1
Step-by-step explanation:
What is the value of x in the equation 4(2x − 1) = 2x + 35?
Answer:
x = 6.5 or 13/2
Step-by-step explanation:
4(2x − 1) = 2x + 35
distribute the 4 to 2x - 1
8x - 4 = 2x + 35
subtract 2x
6x - 4 = 35
add 4
6x = 39
divide by 6
x = 6.5 or 13/2
Two rock climbing gyms offer a two-month “trial period” training program. The first gym charges $4 per climbing session plus a one-time $50 fee. The second gym charges $6 per climbing session plus a one-time $30 fee. For what number of sessions is the cost of the program the same for each gym?
Write a system of equations you can use to find at what number of sessions the cost of the trial period program at each of the gyms is exactly the same.
Answer:
the second one
Step-by-step explanation: