Answer:
(
h
∘
f
∘
g
)
(
x
)
is known as a composite function. Here's how composite functions work:
let's say that
x
=
1
. Your function
g
(
x
)
=
1
3
(
x
)
now produces a
y
output of
1
3
, since
g
(
1
)
=
1
3
(
1
)
. Within a composite function, the y-value of one function becomes the x-value of the next, like so:
g
(
1
)
=
1
3
⇒
f
(
1
3
)
=
17
3
⇒
h
(
17
3
)
=
17
Therefore,
(
h
∘
f
∘
g
)
(
1
)
=
17
Based on this, to find the function for
(
h
∘
f
∘
g
)
(
x
)
(combined from right to left, by the way), simply replace
x
in
f
(
x
)
with the function
g
(
x
)
, and replace
x
in
h
(
x
)
with the function of
(
f
∘
g
)
(
x
)
, to get
(
h
∘
f
∘
g
)
(
x
)
.
This, simplified, is equal to
2
x
+
15
, and therefore
(
h
∘
f
∘
g
)
(
1
)
=
2
(
1
)
+
15
=
17
Hope that helps!
HElPPPPPPPPPPPPP
Select the correct answer from each drop-down menu.
1st question (0, 0.35, 0.71 , -0.71)
2nd question (0, 0.65, -0.54, -1.22)
Which of the following rational numbers is equal to 3 point 1 with bar over 1 ? (5 points) 22 over 9 , 24 over 9 , 26 over 9 , 28 over 9 a 22 over 9 b 24 over 9 c 26 over 9 d 28 over 9
Answer:
C
Step-by-step explanation:
Just got an A+ everything right
A cell phone plan charges a base fee of $65 and an overage charge of $30 per gigabyte of data that exceed 2 gigabytes. If C represents the cost and G represents the total amount of gigabytes of data. What equation could represents this plan when more than 2 gigabytes are used
Answer:C =$65 + $30G
Step-by-step explanation:
Given that :
Base fee charge = $65
Overage charge = $30 / per gigabyte for data that exceeds 2 gigabyte
C = cost ; G = total amount of gigabyte
Equation to represent plan; if more than 2 gigabyte are used :
Cost (C) = Base charge + (average charge * amount of gigabyte)
C = $65 + ($30 * G)
C =$65 + $30G
Which of the following are exterior angles? Check all that apply.
4
6
5
U A. 25
I B. 26
OC. 21
D. 24
O E. 22
F. 23
The angles that are exterior angles in the given diagram are:
A. ∠5
B. ∠6
E. ∠2
F. ∠3
What is an Exterior Angle?An exterior angle can be described as an angle that is formed between the side of a polygon and the adjacent side that extends out of the polygon.
From the image given, ∠2, ∠3, ∠5, and ∠6 are angles formed between a side of the triangle and an extended side.
Therefore, the exterior angles are:
A. ∠5
B. ∠6
E. ∠2
F. ∠3
Learn more about exterior angles on:
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Find the difference between (7+a) and (-7a+1)
[tex]Answer:[/tex]
The first equation is simply just 7 + [tex]number[/tex]
The second equation, however, is saying -7 times [tex]number[/tex] plus 1
A negative number times a positive number is always a negative number. The negatives cancel out.
In a sale a bed originally priced at $30 000
was reduced by 20%.
At the end of the week this sale price
was reduced by 10%.
What is the new selling price of the bed?
what is the value of X
Answer:
40
Step-by-step explanation:
Bill traveled 12.5 feet in 1 second and Kristie traveled 100 feet in 10 seconds. Who traveled faster?
Answer:Bill did
Step-by-step explanation:
12.5x10=125
Suppose line B has the equation 3x + 6y = 12.
The line parallel to line B has a slope of
Convert to x in terms of y.
3x + 6y = 12
Divide by 3.
x + 3y = 4
Subtract x.
3y = -x + 4
Divide by 3.
y = (-1/3)x + 4
The slope is -1/3 here. A parallel line would have the same slope.
So the slope of the parallel line is -1/3
Hope this helps
The author of the study claims that drivers who receive their licenses at 17
years of age are the least likely to commit a moving violation during the
first 8 months after receiving their license. Use the information in the table
to either support or refute the author's claim. Provide mathematical
justification for your answer.
Answer:
this is true I some cases but not all teens are the same
Step-by-step explanation:
Answer:
Refute/Disagree
Step-by-step explanation:
My answer(I did the test): I refute the authors claim. The chart clearly shows that at the end 16 year olds and 17 year olds are both at the same rate if likeness of committing a moving violation. The least likely to commit a moving violation during the first 8 months is the 16 year old and 6 month drivers. You can find a more accurate answer by adding up all the percentages for each age and then divide it by 8 (months), this number is the overall percentage for the 8 months.
Keisha's fish tank has 13 liters of water in it. She plans to add 4 liters per minute until the tank has at least 41 liters. What are the possible numbers of minutes Keisha could add water? Use t for the number of minutes. Write your answer as an inequality solved for t.
Answer:
7≥t
Step-by-step explanation:
The tank already has 13litres of water in it.
Keisha plans on increasing the quantity of the water to 41 litres. Hence,
41 litres - 13litres = 28litres
The above implies that she needed 28litres to be added to the fish tank.
She adds 4 litres per minute
Now, the question can now be reframed as how many minutes will be needed to add 28litre.
Considering to proportion method
4litres = 1 minute
28litres = t minutes
4litres × t minutes = 28litres
t = 28/4
t = 7 minutes
Hence, at least 7 minutes will be needed to increase the quantity of the tank water from 13litres to 41litres
But since we are to write the answer in an inequality form.
41≥ 13+4t
Solve for t
41≥13+4t
41-13≥4t
28≥4t
Divide both sides by 4
28/4≥4t/4
7≥t
MATH HELP PLEASE 1 QUESTION
Answer:
C
Step-by-step explanation:
simplifying c gives us 5/8x + 2.5 = 5/8x + 1.5 , which then gives us
2.5=1.5 , which is impossible, so it must be c
What is the area of the shaded region? 32 cm 32 cm 219.75cm * 804 24cm 1024cm #: 900cm
Answer:
if it is the circles it is 64
Step-by-step explanation:
if the shaded area is the circles than it is 64
Find the Perimeter of the figure below, composed of a square and four semicircles. Rounded to the nearest tenths place
Answer:
[tex]p = 37.6991118431[/tex]
Step-by-step explanation:
the perimeter of a half circle:
[tex]\pi r = \frac{d}{2} \pi = 3\pi = 9.4247779608[/tex]
there's the total of 4 half circle:
[tex]p = 9.42477796078 \times 4 =37.6991118431[/tex]
A traffic sign casts a shadow 7m long at the same time a person 1.6m tall casts a shadow 4m long. Find the height of the sign.
height of sign = x
length of sign shadow = 7m
For sign:-
[tex]tan \theta = \frac{p}{b} = \frac{height}{shadow} = \frac{x }{7} [/tex]
height of man = 1.6m
length of man shadow= 4m
For man :-
[tex] \tan\theta = \frac{p}{b} = \frac{height}{shadow} = \frac{1.6}{4} [/tex]
tanθ is same bez sun is at same level (angle) for both of them
So according to questions :-
[tex] \tan( \theta) = \frac{x}{7} = \frac{1.6}{4} \\ \frac{x}{7} = \frac{ \cancel{1.6}^{ \: \: 0.4} }{ \cancel4} \\ x = 7 \times 0.4 \\ x = 2.8m \: [/tex]
so we can say height of the sign = x = 2.8 m
A bookstore had 80 copies of a magazine. Yesterday, it sold 2/5 of them. Today, it sold 1/8 of what remained. How many copies does the bookstore have left?
Answer:
48 or 24
Step-by-step explanation:
Ariana charges $15 per ticket for a meet-and-greet plus $5 for parking. Due to a flu, she can only have at most 5 people attending. The total cost is a function of the number of people attending and is modelled by y = 15x + 5. What is a possible domain for this situation?
Answer and explanation:
Possible domain of function includes from number one person attending to number 5 person attending
Find attached
Students at the college are allowed to work on campus no more than 20 hours per week. The jobs that are available pay different rates, starting from $8.75 an hour. Students can earn a maximum of $320 per week.
Write at least two inequalities that could represent the constraints in this situation. Be sure to specify what your variables represent.
Type your response in the space below.
Answer:
help me
Step-by-step explanation:
What is the completely factored form of xy3 – x3y?
xy(y + x)(y – x)
xy(y – x)(y – x)
x y (x minus y) (x squared + x y + y squared)
x y (x minus y) (y squared + x y + x squared)
Answer:
[tex]xy(y+x)(y-x)[/tex]
Step-by-step explanation:
Given expression:
[tex]xy^3-x^3y[/tex]
Factor out the common term [tex]xy[/tex]:
[tex]\implies xy(y^2-x^2)[/tex]
Apply the Difference of Two Squares formula [tex]a^2-b^2=(a+b)(a-b)[/tex]:
[tex]\implies xy(y+x)(y-x)[/tex]
Answer:
A
Step-by-step explanation:
Answer
(b)
Factorise 6ac - 4ad
help me with this pls :)) i really need help :)
Hey there!
In order to factorise an expression, we need to factor out the greatest common factor (divide all the terms in the expression by the greatest common factor):
6ac-4ad
In this case, the greatest common factor is 2a.
Put it outside the parentheses:
2(3c-2d)
That's the answer.
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
A juice and two sandwiches cost $70.00. A juice and four sandwiches cost $130.00. What is the cost of a sandwich?
Answer:
a sandwich = $30
Step-by-step explanation:
Reason why is because when it added 2 more sandwiches it added 70 with 30 2 times which equals 130.
The length of a movie is 1 hour 45 minutes. Mary has already watched the first 55 minutes.
How many more minutes does the movie last? Which equation did you use to find the answer
Answer:
50 minutes left
Step-by-step explanation:
1 hour is 60 mins
60 mins+45mins=105 mins
105-55=50
50 mins left
Answer:
50 minutes remaining in the movie
Step-by-step explanation:
1 hour= 60 minutes
+45 minutes
----------------------
105 minutes in movie total
- 55 minutes watched
----------------------
50 minutes remaining in the movie
can you please help me with this
Answer:
235 cm²
Step-by-step explanation:
Area can be split into top and bottom rectangles.
Area = 11 x (14 - 9) + 9 x 20
= 11 x 5 + 180
= 55 + 180
= 235 cm²
Which of the following best describes the slope of
the line below?
A. Zero
B. Positive
C. Undefined
D. Negative
Answer:
Negative
Step-by-step explanation:
The slope is negative because as the x values increase, the y values decrease. If the line was going upward as the x values increase, it would be positive. If the line would be straight accross, it would be zero because the x values increase and the y values decrease.
Have an amazing day!!
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find the zero of y=8x^(2)+2x+4
Answer:
hello
8 x² + 2 x + 4 = 0
Δ = 4 - 4 ( 8 * 4 ) = 4 - 128
Δ < 0 = no solutions
Step-by-step explanation:
Find the product (4x – 2y)^3
Answer:
(2)3 • (2x - y)3
Step-by-step explanation:
Put the exponent aside and simplify the base by pulling out like factors
4x-2y = 2 • (2x-y)
Remember the 4th law of exponents : (a • b)m= am• bm
Retract the exponent and apply the 4th law to the simplified base: ( 2 • (2xy) )3 = (2)3 • (2x-y)3
What is the inverse of the conditional statement?
If a polygon has five angles, then it is a pentagon.
If a polygon is a pentagon, then it has five angles.
If a polygon is not a pentagon, then it does not have five angles.
If a polygon does not have five angles, then it is not a pentagon.
If a polygon has five angles, then it is not a pentagon.
(A.) If a polygon is a pentagon, then it has five angles.
The inverse of the conditional statement "If a polygon has five angles, then it is a pentagon" is "If a polygon does not have five angles, then it is not a pentagon."
Option C is the correct answer.
What is a pentagon?A pentagon is a polygon that has five sides and five angles.
The sides and angles of a pentagon are not all equal unless it is a regular pentagon.
A regular pentagon has five equal sides and five equal angles.
We have,
The inverse of a conditional statement is formed by negating both the hypothesis and the conclusion.
In this case, we negate the statement "a polygon has five angles" to "a polygon does not have five angles," and negate the statement "it is a pentagon" to "it is not a pentagon."
Thus,
The inverse of the conditional statement "If a polygon has five angles, then it is a pentagon" is "If a polygon does not have five angles, then it is not a pentagon."
Learn more about the Pentagon here:
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questions in picturessss
Answer:
Question 4: C
Question 5: 26
Question 3: 560
Step-by-step explanation:
Asap
Select the correct answer.
Which function has a restricted domain?
Step-by-step explanation:
Check second one
[tex]\\ \rm\Rrightarrow k(x)=(-x+3)^{\frac{1}{2}}[/tex]
1/2 means square root[tex]\\ \rm\Rrightarrow \sqrt{(-x+3)}[/tex]
So
[tex]\\ \rm\Rrightarrow -x+3>0[/tex]
[tex]\\ \rm\Rrightarrow -x>-3[/tex]
[tex]\\ \rm\Rrightarrow x<3[/tex]
Hence.
Domain is restricted
Option B is correct
Write 2016 in standard form.
Answer:
2.016 x 10^3
Standard form must have a single digit number x10 to the power of a number.
Here, we had to move the decimal point three times to the left, therefore it will be a power of positive three for the 10.