Answer:(g o f)(x)=x^2+x+1
Step-by-step explanation:
It is Given f(x) = x + 1 and g(x) = x^2 therefore, the function (g o f) (x) is x^2 + x + 1.
What is function of functions and how are they represented?The function of function, as the name suggests, is functions applied over functions themselves. This is also called function composition.
We have input. We apply one function on that input. Then we apply another function on the output obtained by the first function. This whole function application on the first input is called the function of functions.
The resultant function which maps the input x to the final output is called the function of a function.
If the first function is g( and the other function is f, then we can write the resultant function of the function as
[tex](f\circ g)(x)[/tex]
where the x is the input to the first function.
Thus, we have;
[tex](f\circ g)(x) = f(g(x))[/tex]
It is Given f(x) = x + 1 and g(x) = x^2, we need to find (g o f) (x)
(g o f)(x) = g(x) + f(x)
= x^2 + x + 1
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how many times does 48 go into 123
Answer:
48 goes into 123 about 2.5625 times.
Step-by-step explanation:
To determine how many times does 48 go into 123, the following mathematical calculation must be performed, by which 123 will be divided by 48 to obtain said number of times:
123/48 = X
2.5625 = X
Therefore, 48 goes into 123 about 2.5625 times.
Marta walked at 4.7 miles per hour for 0.83 hours. How far did she walk?
Can someone please tell me what 597 ➗ 5 is
Answer:
119.4
Step-by-step explanation:
Big Brain Dude <:
In 2002, the manufacturers of M&M's surveyed people from around the world and asked them to vote for a new color: purple, aqua, or pink. In the United States, 42% of those who voted said purple, 37% said aqua, and 19% said pink. What's the probability that a randomly picked survey respondent from the United States preferred purple or pink?
Answer:
don't know
Step-by-step explanation:
dont know...........
Yousef buys 40 tokens at the carnival. He gives his sister tokens for 5 kiddie rides. He wants to use the remaining token for thrill rides for himselt.
thrill rides use 5 tokens each and kiddie rides use 3 tokens each, what is the largest number of thrill rides Yousef can go on?
Answer:
5 rides
Step-by-step explanation: Multiply the number of kiddie rides his sister will go on (5) by the amount of tickets it costs each (3). subract that from 40 (the initial amount of tickets). then divide that by 5 (amount of tickets for 1 thrill ride)
If OB = 6 and AB = 8, then EA
Answer:
what is that means i think it's better to ask by take a picture
Please help and explain ( Brainliest for answer!)
Answer:
AD = 3
Step-by-step explanation:
Pythagoras theorem formula: a² + b² = c² (c being the hypotenuse, the longest side of the triangle).
Using this formula, you can easily say that c²-b²=a². c=5, b=4, making the equation 5² - 4² = a ².
Expanding the formula, you'll get 25 - 16 = a².
25 - 16 = 9.
This means that 9 = a².
To find a, you need to root 9. Using a calculator, you'll know that this number is 3, meaning that AD = 3.
Please help me with this answer
9514 1404 393
Answer:
x = 12∠H = 94°Step-by-step explanation:
The marked angles are supplementary, so ...
(5x +26)° +(8x -2)° = 180°
13x = 156 . . . . . . . . . . . . . . divide by °, subtract 24
x = 12 . . . . . . . . . . . divide by 13
∠H = (8x -2)° = (8·12 -2)°
∠H = 94°
Which expression is equivalent to
Answer:
x^6
Step-by-step explanation:
3x^2+23x^343x^2+13x-10
Answer:
mathmaticicans :impossible
Step-by-step explanation:
some random kid :the answer is aproximatly 42
Find f(5) for f(x)=1/4(2)^x
O A. 4
O B. 32
C. 2
O D. 8
Answer:
D. 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 1/4(2)ˣ
f(5) is x = 5 for function f(x)
Step 2: Evaluate
Substitute in x [Function]: f(5) = 1/4(2)⁵Exponents: f(5) = 1/4(32)Multiply: f(5) = 8Enter the value of p so that the expression 4 (n+8) is equivalent to (n+p)4
500 meters to kilometers
When Nathaniel left his house in the morning, his cell phone battery was partially
charged. The charge remaining in Nathaniel's battery, as a percentage, can be
modeled by the equation B = 52 - 6.5t, where t is the number of hours since
Nathaniel left his house. What is the slope of the equation and what is its
interpretation in the context of the problem?
Answer:
Slope -6,5
Step-by-step explanation:
Slope of the equation is -6.5 which is mean that every our his battery lose 6.5 percent of charge. 52 represent here the percentage of battery at the time he left the house.
4
The portable basketball hoop shown is made so that BA= AS = AK. The measure of BSK is 76. What is m(angle)AKB?
Answer:
have you found the answer
Consider the points plotted on the number line shown below
Use the diagram of the parallelogram to answer the question. 18 m 10 m 6 m *not drawn to scale What is the perimeter of the parallelogram? A. 34 m B. 54 in O C. 56 m D. 62 mm OE. E. 108 m
Help will give brainliest
Answer:
i think it might be E: 108 m ? im not sure
1 1/4 X 5 3/4 = _________________
Answer:
7 1/8
Step-by-step explanation:
Hope this helps
Answer: 7.1875
Step-by-step explanation:
First you would multiply the two numbers which are 1 1/4 and 5 3/4 then you would simplify that because you would get 115/16 then when you simplify you get 7.1875
there are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest inch, how many inches are in 14 meters?
Answer:
551
Step-by-step explanation:
Answer:
551.18 inches
Step-by-step explanation:
convert 14 m to cm, so multiply 14 by 100, to get 1400, then convert to inches, so divide by 2.54, which gives you 551.18 inches
A box contains 3 defective batteries and 7 good ones. You reach in and pull out three
batteries. What is the expected number of defective batteries?
Answer:
The expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.
Step-by-step explanation:
Given that a box contains 3 defective batteries and 7 good ones, and I reach in and pull out three batteries, to determine what is the expected number of defective batteries, the following calculation must be performed:
3 + 7 = 100
3 = X
10 = 100
3 = X
3 x 100/10 = X
300/10 = X
30 = X
3 x 3/10 = X
0.9 = X
Therefore, the expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.
What is the midpoint of a line segment with endpoints at (2, 3) and (4,5)
Answer:
(3, 4)
Step-by-step explanation:
First, find the x coordinate of the midpoint by finding the average of the two x values:
(2 + 4) / 2
6 / 2
= 3
Find the y coordinate of the midpoint by finding the average of the two y values:
(3 + 5) / 2
8 / 2
= 4
So, the x coordinate of the midpoint is 3 and the y coordinate is 4.
The midpoint is (3, 4)
Helpppp please prettty pleaseee THIS IS TIMED. I WILL MARK Brainliest. NO LINKS Please Or I WILL REPORT YOU. PLEASE GIVE EXPLANATION
Answer:
Please show the picture or question.
Which expression is equivalent to (see the picture)
A. 20x-21y +14
B. 20x + 11y + 14
C. 20x - 11y + 6
D. 20x + 21y +6
Can someone please help me? And it says “Solve each equation. Then, prove that your answer solves the original equation?
Step-by-step explanation:
We need to solve each equation.
a. 6c = 30
c = 30/6 = 5
b.
2d-6=12
Adding 6 both sides
2d-6+6=12+6
2d = 18
d = 9
c.
[tex]\dfrac{x}{3}+9=2\\\\\dfrac{x}{3}=-7\\\\x=-21[/tex]
d.
50=14+3m
50-14=3m
36=3m
m = 12
Hence, this is the required solution.
Daniel loves pizza, so he decided to enter a pizza eating contest. Each contestant was given a 25inch pizza and the winner was determined by who ate the most! Daniel ate the entire pizza and won! How much pizza did he eat? (Hint 25 is the diameter?
Answer:
490.87 inches²
Step-by-step explanation:
Hi there!
What we're trying to find: the area of the circular-shaped pizza
What we know: the diameter of the pizza (25 inches)
Area of a circle = [tex]\pi r^2[/tex] where r is the radius of a circle
To find the radius, divide the diameter by 2:
25 inches ÷ 2 = 12.5 inches
Plug 12.5 inches into the area equation
[tex]A=\pi r^2\\A=\pi (12.5)^2\\A=\pi (12.5)^2\\A=156.25\pi \\A=156.25\pi \\A=490.87[/tex]
The area of the circle (pizza) is approximately 490.87 inches².
Therefore, Daniel ate 490.87 inches² worth of pizza.
I hope this helps!
If f(x) = x and g(x) = vx, what is f(g(x) when x = -3?
Answer:
f(g(x) = -3v
Step-by-step explanation:
Owen follows the rule "divide by 2" to write the pattern below. He will write two
more numbers to complete the pattern. Which statement is true?
Grace
800, 400, 200, 100, 0, 0
Every number in the pattern will have a 0 or a 5 in its ones place.
Every number in the pattern will have a 0 or a 5 in its tens place.
Every number in the pattern will have a 0 in its ones place.
Every number in the pattern will have a 0 in its tens place.
Done -
Answer:tbh
Step-by-step explanation:
and\
Which equation of a line is parallel to the graph of y = 3x -5 and passes through the point
(1,5)?
Consider this data set.
13, 17, 21, 3, 14, 34, 22, 20, 16, 19, 15
Which data values are outliers?
Select each correct answer
3
13
15
34
Answer:
3 and 34
Step-by-step explanation:
they are the extremes in this, you want to look for out of place numbers when dealing with outliers
A slide was installed at the local swimming pool, as shown here
What is the length of the slide?
Answer:
21.47 ft (rounded to the near hundreths)Step-by-step explanation:
Pythagorean Theorem : Right triangle with legs a and b and hypotenuse c
a=19 b = 10 c= x
19² + 10² = x²361 +100 = x²461 = x²x = square root of 461
x= 21.4709... (21.47 )
The required length of the slide installed at the local swimming pool is 21.47 ft.
A slide was installed at the local swimming pool, as shown here, what is the length of the slide is to be determined.
Perpendicular length = 10ft
base length = 19ft
In a right-angled triangle, its side of the right angle triangle, such as hypotenuse, perpendicular, and base are Pythagorean triplets.
Let the length of the slide at the local swimming pool is x,
applying Pythagorean theorem
hypotenuse² = perpendicular² + base²
x² = 19² + 10²
x² = 361 +100
x² = 461
x = √461
x = 21.47 ft
So, x = 21.47 is the length of the slide.
Thus, The required length of the slide installed at the local swimming pool is 21.47 ft.
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