Functions of functions are evaluated by taking first's output as second's input. The representation of [tex]f[g(x)][/tex] is: Option D: [tex]f[g(x)] = 2x^2 + 21[/tex]
What are composite functions?Functions which are formed by composing two or more functions in a way that one's output is another's input are called composite functions. They are also called function of functions.
The given functions are
[tex]f(x) = 2x + 5[/tex][tex]g(x) = x^2 + 8[/tex]Then [tex]f[g(x)][/tex] will be evaluated as output of g(x) taken as input for f(x).
Thus,
[tex]f[g(x)] = 2[g(x)] + 5 = 2[x^2 + 8] + 5\\\\f[g(x)] = 2x^2 + 21[/tex]
[tex]f[g(x)] = 2[g(x)] + 5 = 2[x^2 + 8] + 5\\\\f[g(x)] = 2x^2 + 21[/tex]
Thus,
The representation of [tex]f[g(x)][/tex] is: Option D: [tex]f[g(x)] = 2x^2 + 21[/tex]
Learn more about composite functions here:
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Pittsburgh charges a 6% sales tax. Paula goes shopping and her
purchases total $139. How much will she pay in taxes?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 139}}{\left( \cfrac{6}{100} \right)139}\implies 8.34[/tex]
Add: 17 + 314 + 12 Write your answer in simplest terms.
Y=2x
Y= 3x -10
What is the solution to the system of equations?
Enter as an ordered pair
( , )
Answer:
( 10,20 )
Step-by-step explanation:
Y=2x
Y= 3x -10
What is the solution to the system of equations?
2x=3x-10 *combine like terms*
-1x= -10 x=10 *divide*
Y=2(10) y=20 *plug in for y into other equation*
CHECK:
plug both x and y into both equations to get a true statement.
Y=2x 20=2(10) 20=20
Y= 3x -10 20= 3(10) -10 20=20
Pls answer this I need it
Answer:
f = 42 , q = 127
Step-by-step explanation:
3f + 1 and 127 are alternate angles and are congruent , so
3f + 1 = 127 ( subtract 1 from both sides )
3f = 126 ( divide both sides by 3 )
f = 42
q and 127 are corresponding angles and are congruent , so
q = 127
BTW I like ur name hahahah
Have great day.
An old light bulb uses 60 watts of power, but a new LED bulb uses only 9 watts. What is the percent change?
Answer: 85%
Step-by-step explanation:
Percent of change formula is (old - new / old) * 100
So then you input the numbers
60 - 9
——— *100
60
51
— *100
60
= 0.85(100)
85%
Hope this helps!
If Mr. John plans to replace the carpet in his living room AND bedroom with carpet that cost $2.00 per square foot, how much will it cost to replace it if there are no other charges?
Answer:
1496
Step-by-step explanation:
check the other answer for explanation
5/6−1/6 Subtract the fractions.
Answer:
4/6 but its 2/3 simplified.
Step-by-step explanation:
You may subtract the numerator but not the denominator.
questions in the photos. 40 points if you answer correctly.
Answer:
V
Step-by-step explanation:
The point in the question is U
When reflected in the x-axis, it becomes W
When W is reflected in the y-axis, it becomes V
Answer:
U
Step-by-step explanation:
the answer is U because -6.5 is negative and 1 is positive
At the local bakery Ariel bought 2 oatmeal cookies for $1.50. Mei bought 1/2 dozen oatmeal cookies for $4.50. Becky bought 8 oatmeal cookies for $6.00 what does the point (1,0.75) represent in...
Answer:
Its proportional because when you divide each oatmeal bought and the amount you will end up with .75
Which is the one of the correct formula of T.S.A of cylinder with himsphere *
πr(3r+h)
3πr^3+2h
πr(3r+2h)
Answer:
[tex]\pi \: r(3r + 2h) \: is \: the \: answer[/tex]
Simplify:
9x2 - 4x – 3 = [?]
-
=
x=-2
Step-by-step explanation:
if x = -2
= 9x² - 4x - 3
= 9 ( -2)² - 4 ( -2 ) - 3 [ x = -2 ]
= 9 × 4 + 8 - 3
= 36 + 8 - 3
= 44 - 3
= 41
[tex]\huge{\boxed{{ x = -2}}}[/tex]
[tex] 9x² - 4x - 3[/tex]
[tex]↠ 9 (-2)² -4 (-2) - 3[/tex]
[tex]↠ 9×4+8-3[/tex]
[tex]↠ 36 + 8 -3[/tex]
[tex]↠ 44-3[/tex]
[tex]↠ 41[/tex]
[tex]\large{{\bold{ \underline{ \underline{ \overline{ \overline{ \pink{9{x}^{2} - 4x – 3 = 41}}}}}}}}[/tex]
Mrs. Koch is Improving in her Golf Game. She makes about 60% of her putts.
If she has 10 putts, what is the
Probability she makes all of them?
Answer:
most likely / 16 2/3
Step-by-step explanation:
60% = 10
60/10 = 100/x
x= 50/3
50/3 = 16 2/3
determine the range of the inverse of F(x)= square root
x-4
Answer:
y ≥ 4
Step-by-step explanation:
The range of the inverse of a function is the same as the domain of the function. F(x) is defined for x ≥ 4, so the range of F^-1(x) is y ≥ 4.
Which of the following sets of ordered pairs represents a function? A. { (-10, -4), (17, 11), (4, 10), (4, -14) } B. { (7, 8), (-21, -8), (7, -8), (-21, 8) } C. { (14, 8), (-14, -8), (8, 14), (-8, -14) } D. { (14, 8), (14, -8), (8, 14), (8, -14) }
Answer:
C
Step-by-step explanation:
because for any domain ,you will get only one range value ,
but ,there are two range values for 4 in A;
two range values for 7, and also for 21 in B;
two range values for 14 and for 8 in D
50 pht helppppppppppppppppppppppppppppppppppppppp pls urgent
Answer:
$135
Step-by-step explanation:
15-12=3/2=1.5
12+1.5=13.5
13.5*10=135
Answer:
$1620
Step-by-step explanation:
The area of the lawn is a trapezoid.
Area of a trapezoid = [tex]\dfrac12(a+b)h[/tex]
where a and b are the parallel sides (bases) and h is the height
Therefore,
[tex]area=\dfrac12(15+12) \times 10 = 135 \ m^2[/tex]
If the price of sod is $12 per square metre, then
total cost = 135 x 12 = $1620
X+4,x+12,x-1 and x+5 are in proportion.find the value of x
Answer:
Step-by-step explanation:
As they are in proportion,
x +4 : x +12 :: x -1 : x + 5
Product of means = Product of extremes
(x + 12)(x -1) = (x +4)(x+5)
Use FOIL method for polynomial multiplication
x*x + x*(-1) + 12*x + 12*(-1) = x*x + x*5 + 4*x + 4*5
x² - x + 12x - 12 = x² + 5x + 4x + 20
Combine like terms
x² + 11x - 12 = x² + 9x + 20
x² + 11x - 12 - x² - 9x - 20 = 0
Combine like terms
x² - x² + 11x -9x -12 -20 = 0
2x - 32 = 0
2x = 32
x = 32/2
x = 16
Plz answer question I’m the picture
Answer:
x = 13.5
BC = 30
Step-by-step explanation:
BC is double the length of DE. And we know that DE is equal to 15. So 15 x 2 is 30.
Now to find x. We know that our answer has to add up to 30. So we first subtract 3 from 30 to get 27. Then divide 27 by 2 to get what x is equal to. x = 13.5
How much paneling needs to be removed?
I'll draw it for you cause im nice. (Blue bit is the part we dont have paneling on).
So the the total surface area of panelling needed to remove will be (8 x 6 1/2) x 2 = 104. And also 3 x 8 x 2 = 48. So total surface area = 152. So its 152ft^2
=A
⭐ Answered by Foxzy0⭐
⭐ Brainliest would be appreciated, I'm trying to reach genius!
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
first responder gets
Step-by-step explanation:
Storage facility => 12x²y³ • 4x⁴y²
Storage facility => 48x⁶y⁵
[tex]\implies \: \frac{12 {x}^{6} {y}^{ - 4} z {}^{2} }{3x {}^{2} {y}^{ - 6} z {}^{3} } \\ \implies \: 4( {x}^{6 - 2} ) \times ({y}^{ -4 + 6} ) \times( {z}^{2 - 3} ) \\ \implies \: 4 {x}^{4} \times {y}^{2} \times {z}^{-1} \\ \implies \: \frac{4 {x}^{4} {y}^{2}}{z} [/tex]
Water flows through a drain at a rate 2kl/min
How much water flows through the drain in one hour
Answer:
Step-by-step explanation:
2 kl/min * 60 minutes = 120 kl
Answer:
120 kl/min
Step-by-step explanation:
There are 60 mins in an hour,if you times that by 2 (because its 2 kl/min)that makes up 120.So therefore,the answer is 120 kl/min
How do you divide a whole number by a fraction, for example
7 divided by 3/4
[tex]7 \div \frac{3}{4} = \\ [/tex]
[tex]7 \times \frac{4}{3} = \\ [/tex]
[tex] \frac{7 \times 4}{3} = \\ [/tex]
[tex] \frac{28}{3} \\ [/tex]
an umbrella has 12 evenly spaced ribs. If viewed as a flat circle of radius 11 units,
then what would be the area between two consecutive ribs of the umbrella
Answer:
Area = 121pi/12
~= 31.66 sq units
Step-by-step explanation:
They are talking about looking at an umbrella like its a circle. The radius is 11 units. That is from the center to the edge.
Consecutive means "in a row" or "next to each other" The 12 "ribs" are the like skeleton structure in the umbrella. But they cut the umbrella into 12 areas. They are asking for the area of one "slice". It is 1/12 of the area of the whole circle.
Area of a circle is
A = pi × r^2
Area of one slice is 1/12 of the whole.
A(1 slice)
= 1/12× pi × r^2
See image.
determine whether each pair of polygons is similar.
Answer:
Yes they are similar
Step-by-step explanation:
I hope this helps you have a very nice day
Owen bought 15 bananas for $9. What was the cost of the bananas in bananas per dollar?
Answer: 5 banana 3 dollar
Step-by-step explanation:
per dollar"→divide by dollars
15\text{ bananas}:
15 bananas:
\,\,9\text{ dollars}
9 dollars
\frac{15\text{ bananas}}{9}:
9
15 bananas
:
\,\,\frac{9\text{ dollars}}{9}
9
9 dollars
\frac{5}{3}\text{ bananas}:
3
5
bananas:
\,\,1\text{ dollar}
1 dollar
\frac{5}{3}\text{ bananas for every 1 dollar}
3
5
bananas for every 1 dollar
\mathbf{\frac{5}{3}\text{ bananas per dollar}}
5 bananas per 3 dollar
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
If 15 bananas cost $9.
The cost of one banana is $0.6
The amount of banana per dollar is 5/3 banana
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles.
In 1 hour, a man will walk for 3 miles.
If a machine can make 100 bottles in 20 minutes.
In 1 minute the machine can make 100/20 = 5 bottles.
We have,
Cost of 15 banana = $9
This can be written as:
15 banana = $9
Divide 9 on both sides.
15/9 banana = $1
5/3 banana = $1
The cost of one banana:
15 banana = $9
1 banana = 9/15
1 banana = 3/5
1 banana = $0.6
Thus,
If 15 bananas cost $9.
The cost of one banana is $0.6
The amount of banana per dollar is 5/3 banana
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what is the answer to this question A function, f(x) = 4x + 5, has a domain 0 ≤ x ≤ 50. What is its range?
Answer:
5 ≤ y ≤ 205
Step-by-step explanation:
Input values 0 and 50 for x in the function f(x) - 4x + 5
Solve:
f(0) = 4(0) + 5f(0) = 0 + 5f(0) = 5f(50) = 4(50) + 5f(50) = 200 + 5f(50) = 205The range is between these two points: 5 ≤ y ≤ 205
-Chetan K
1) Each student has 2 shoes. How many shoes are there for 8 students?
Answer:
16 shoes
Step-by-step explanation: If every student has 2 shoes and you want to know how many shoes for 8 students. Then you do 8 times 2 which is 16 shoes for 8 students. Hope this helps
HELP 20 POINTS!!!!!!Using the equation y = 3x – 5, what would the output be for an input of 4?
3
7
-3
-5
Answer:
7
Step-by-step explanation:
3(4)=12
12-5=7
This is due tomorrow and I don't know, what is 5/7 of 28? or how to solve itttt
Answer:
answer is 20
Step-by-step explanation:
5/7 of 28
5/7×28= 20
hope it helps
Polygon angle sum theorem, solve for many points.
Answer:540-452=88
x=88
sum of all is always 540 for pentagons
Step-by-step explanation:
Which of the following simulations would not work for the situation described?
A. To simulate randomly selecting a day of the week, assign a one-digit number from 0 to 6 to each letter. Use a random digit table to generate one-digit numbers, ignoring any over 6.
B. To simulate randomly selecting a state in the U.S., assign a two-digit number from 01 to 50 to each state. Use a random digit table to generate two digit numbers, ignoring any over 50.
C. To simulate randomly selecting a day of the year, assign a three-digit number from 001 to 365 to each day of the year. Use a random digit table to generate two digit numbers, ignoring any over 365.
D. To simulate randomly selecting a letter of the alphabet, assign a one-digit number from 0 to 9 to each letter. Use a random digit table to generate one-digit numbers, ignoring any over 9.
Using the probability concept, it is found that the simulation that would not work for the situation described is:
D. To simulate randomly selecting a letter of the alphabet, assign a one-digit number from 0 to 9 to each letter. Use a random digit table to generate one-digit numbers, ignoring any over 9.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
For a week, there are 7 days, and in the trial there are 7 outcomes, hence item a works.The same logic apply for items b and c, as there are 50 U.S states and a year has 365 days, and in each case, respectively, there are 50 and 365 outcomes.As for item d, there are 26 letters in the alphabet, and only 9 digits, hence digits would be repeated and it would not be an accurate simulation.More can be learned about the probability concept at https://brainly.com/question/15536019