Answer:
Part 1)
[tex]f(g(x))=10x^3+16[/tex]
Part 2)
The composition f(g(x)) represents the amount of money Raul earns per ticket given the amount of hours Raul works
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=2x^2+16[/tex]
Which represents the amount of money Raul earns per ticket and:
[tex]g(x)=\sqrt{5x^3}[/tex]
Which represents the number of tickets Raul sells per hour.
Part 1)
We want to find f(g(x)).
So, we substitute g(x) for f(x). This yields:
[tex]f(g(x))=2(\sqrt{5x^3})^2+16[/tex]
This can be expanded a simplified as such:
[tex]f(g(x))=2((\sqrt{5})^2(\sqrt{x^3})^2)+16=10x^3+16[/tex]
Part 2)
Recall that f(x) outputs the amount of money Raul earns per ticket.
And g(x) inputs the amount of hours Raul works.
When we composed f(g(x)), the input and output stayed the same.
So, f(g(x)) represents the amount of money Raul earns per ticket (output of f(x)) given the amount of hours Raul works (input of g(x)).
Answer:
The composition f(g(x)) represents the amount of money Raul earns per ticket given the amount of hours Raul works
Step-by-step explanation:
Here is part of a train timetable - check picture.
HELPPPP IM NOT SMART EASY 10 POINTS
slope: 2
y-intecept: (0,12)
equation: y=2x+12
Explanation: I have done it on a test before and got it correct.
Solve the equation.
p2 - 10p + 21 = 0
Answer:
p = 3 or p = 7
Step-by-step explanation:
Answer:
p²-7p-3p+21=0
p(p-7)-3(p-3)=0
(p-3)(p-7)=0
either
p=3
or
p=7
i need help with this. im confused.
Identify the horizontal asymptote of each graph.
y = 0
y = 1
y = 6
Identify the horizontal asymptote of each graph.
y = 0
y = –3
y = –5
Answer:
y = 0 and y = -3
Step-by-step explanation:
The horizontal asymptote of each graph is:
1. y=0
2. y= -3
What is asymptote?An asymptote of a curve y = f (x) that has an infinite branch is called a line such that the distance between the point (x, f (x)) lying on the curve and the line approaches zero as the point moves along the branch to infinity.
1.Given function:
t(x)= [tex]6^{x}[/tex]
If we apply limit x→∞, then we get y=c as horizontal asymptote
So, [tex]\lim_{x \to \infty} 6^{x}[/tex]= 0
Hence, the asymptote will by y=0.
2. Given function:
t(x)= [tex]5^{x}[/tex]-3
If we apply limit x→∞, then we get y=c as horizontal asymptote
So, [tex]\lim_{x \to \infty} 5^{x} -3[/tex]= -3
Hence, the asymptote will by y=-3.
Learn more about asymptote here:
https://brainly.com/question/4608493
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What is the equation of the line with slope 3/5 through the point (20, 6)?
Answer the following questions
Answer:
1. 432
2. 30
3. 1875
4. 250
Step-by-step explanation:
Need help ASAP
Thanks+ BRAINLIST only for correct answers
I'm sure it's scatter plot b
Please answer the question in the picture
Answer: it soo blurry I did not see it
Step-by-step explanation:
help it due by tonight and I have no clue how to do it
Answer:
Step-by-step explanation:
Bro, for the $500 after the rate add 12 and 12 and do that for all the rate's like when you get to the fraction rate add the fraction rate with the fraction rate
Anne can swim 4 laps in 3 minutes. How many laps can she swim in 27 minutes.
Answer:
( 27 x 4 ) /3 = 36 laps
Step-by-step explanation:
HELP ASAP PLEASE PLEASE HELP ME THESE ARE TWO Separate answers please help
Answer:
First one 5n-40 what does n so n= 8
The last one I see is d+15=30 so the d=15
Step-by-step explanation:
1. 5x8-40 i think
2.15+15=30 this is right am 91.1% right about this one
6 is divided by the square of a number.
Answer:
Step-by-step explanation:
6 is divided by square of a number
The phrase a number means an arbitrary variable, let's call it x.
x
the square of this means we raise x to the power of 2:
x^2
Next, we divide 6 by x^2:
6/x^2
find the value of the expression
18 ÷ y
for y = 3
Answer:
6
Step-by-step explanation:
18 divided by 3 equals 6.
Answer:
6
Step-by-step explanation:
18 ÷ y
18 ÷ 3 ^ Substitute 3 in for y, as y equals 3.
6 ^ Divide.
what is the product of 2 4/7 × 13/12
Answer:
2 11/14
Step-by-step explanation:
First make both of them improper fractions.
therefore,
2 4/7 = 18/7
now simplify.
18/7 × 13/12
18 and 12 get cancelled off as they're multiples of 3 and 6
therefore,
3/7 × 13/2
3× 13 = 39
7×2 = 14
39/14
now make it a proper fraction
2 11/14//
Find the measure of
Answer:
∠ HGL = 73°
Step-by-step explanation:
KL is a midsegment of the triangle and is parallel to HG, then
∠ KLJ = ∠ HGL ( corresponding angles ), so
9x - 62 = 5x - 2 ( subtract 5x from both sides )
4x - 62 = - 2 ( add 62 to both sides )
4x = 60 ( divide both sides by 4 )
x = 15
Thus
∠ HGL = 5x - 2 = 5(15) - 2 = 75 - 2 = 73°
Answer:
(See Below)
Step-by-step explanation:
PLEASEE HELPP I need it asap !!
Answer:
The answer will be 271. check the pic attached with it
For every two old homes in a neigborhood there are 3 new ones. Write the ratio of old homes to new homes.
Answer:
2:3
Step-by-step explanation:
What is the answer ASAP please
Answer:
2,-1
Step-by-step explanation:
You read the X axis first then the Y axis
in Square W XYZ.PW = 7. w X What is the square's perimeter? • 282 units Р 49 units 098 units Z Y O • 1472 units 3 4 5 6 7 8
Answer: Like I said it is either A or B
Answer[tex]Answer is A[/tex]: A 28/2
Step-by-step explanation: Took the test.
Write an expression that is equivalent to 734+356 − 134 that uses addition instead of subtraction.
Answer:956= _+_
Step-by-step explanation:
Put the Equations together,
734+356-134=956
956 = ?
make any equation that would equal 956
Ex: 955+1=956.
(I wouldn't make it that easy tho lol teacher might not get fond of you)
I think this was the right way. If not, sorry!
Can someone help me (7th grade science) need to be done as sonn as possible
Answer:
1. B
2. Reflection
3. Refraction
Step-by-step explanation:
Here is an inequality: -2x>10.
a) Choose a value for x that would make this inequality true
10
-7
5
3
b) What is a solution to the inequality -2x≥10 but not a solution to the inequality -2x>10?
4
-6
-5
5
In the function f(x) = (x^2 -6x + ___) + 20, what number belongs in the blank to complete the square?
Answer:
blank = -11
Step-by-step explanation:
The given function is :
[tex]f(x) = (x^2 -6x+x)+20[/tex]
We need to find the number x such that it forms the complete square.
If x = -11, then it will becomes,
[tex]f(x) = (x^2 -6x+(-11))+20\\\\f(x)=x^2-6x+9[/tex]
We can write it as follows :
[tex]f(x)=x^2-2(1)(3x)+(3)^2[/tex] ..(1)
We know that,
[tex](a-b)^2=a^2-2ab+b^2[/tex] ...(2)
Comparing (1) and (2).
[tex]f(x)=(x-3)^2[/tex]
So, if we put the blank equals -11, then it will become the perfect square.
50 POINTS GUYS
Deon is playing fetch with his dog with a toy that is shaped like a circle. The circumference of the toy is 12π inches.
Which measurement is closest to the area of the toy in square inches?
18.84 in.²
37.68 in.²
113.04 in.²
452.16 in.²
Answer:
113.04
Step-by-step explanation:
The required measurement is closest to the area of the toy is [tex]113.04\ inches^{2}[/tex]
Given that,
Deon is playing fetch with his dog with a toy that is shaped like a circle,
The circumference of the sculpture is 12π inches.
We have to determine,
Which measurement is closest to the area of the toy in square inches.
According to the question,
Circumference of the circle = [tex]2\pi r[/tex]
Where, circumference = [tex]12\pi[/tex]
Then,
[tex]12\pi =2\pi r \\\\r = \dfrac{12\pi }{2\pi }\\\\r = 6\ inches[/tex]
Therefore,
Deon is playing fetch with his dog with a toy that is shaped like a circle.
Area of the circle = [tex]\pi r^{2}[/tex]
Where, r = 6inches
Then,
Area of the circle is given by,
[tex]= \pi r ^{2}\\\\= 3.14 \times (6)^{2}\\\\= 3.14 \times 36\\\\= 113.04\ inches^{2}[/tex]
Hence, The required measurement is closest to the area of the toy is [tex]113.04\ inches^{2}[/tex].
To know more about Circle click the link given below.
https://brainly.com/question/20902835
Which statement best describes what happened when h is changed from 4 to - 2.
find the distance between two points (-3,2) and (3,0)
Answer:
[tex]\sqrt{40}[/tex]
Step-by-step explanation:
If we draw a right triangle, it would have legs 6 and 2.
$49 to $149
A.2%; increase C.100%; increase B.67%; increase D.204%; increase
Answer:
D. 204% increase
n the rectangle P Q R S , the side P Q is of length 2 and the side Q R is of length 4
Please i need the answer ASAP
here u go
In the rectangle PQRS , the side PQ is of length 2CM and the side QR is of length 4CM Points T and U lie inside the rectangle so that Triangle PQT and TRIANGLE RSU are equilateral triangles.PLS MARK ME AS BRAINLIST!!!!!
Identify the slope and y-intercept in the following equation: y = -7x + 2
Answer:
Slope: -7
y-intercept: (0,2)
Step-by-step explanation: