Answers
Answer:
integer and rational
Step-by-step explanation:
Related Questions
Determine whether the statements are True or False. Justify your answer with an explanation.
If f(x) = x + 1 and g(x) = 6x, then (f ○ g)(x) = (g ○ f)(x).
If you are given two functions f(x) and g(x), you can calculate (f ○ g)(x) if and only if the range of g is a subset of the domain of f.
Answers
Problem 1
Answer: False---------------------------------
Explanation:
The notation (f o g)(x) means f( g(x) ). Here g(x) is the inner function.
So,
f(x) = x+1
f( g(x) ) = g(x) + 1 .... replace every x with g(x)
f( g(x) ) = 6x+1 ... plug in g(x) = 6x
(f o g)(x) = 6x+1
Now let's flip things around
g(x) = 6x
g( f(x) ) = 6*( f(x) ) .... replace every x with f(x)
g( f(x) ) = 6(x+1) .... plug in f(x) = x+1
g( f(x) ) = 6x+6
(g o f)(x) = 6x+6
This shows that (f o g)(x) = (g o f)(x) is a false equation for the given f(x) and g(x) functions.
===============================================
Problem 2
Answer: True---------------------------------
Explanation:
Let's say that g(x) produced a number that wasn't in the domain of f(x). This would mean that f( g(x) ) would be undefined.
For example, let
f(x) = 1/(x+2)
g(x) = -2
The g(x) function will always produce the output -2 regardless of what the input x is. Feeding that -2 output into f(x) leads to 1/(x+2) = 1/(-2+2) = 1/0 which is undefined.
So it's important that the outputs of g(x) line up with the domain of f(x). Outputs of g(x) must be valid inputs of f(x).
The given statement is false.
What is composite function ?Composite function is a combination of two or more than two functions combined by mathematical operation of addition,subtraction,multiplication and division.Where output of one function is input to the other function.
According to the given question two functions are given f(x) and g(x) and and we have to compose in different order and see if they are same or not.
Given, f(x) = x + 1 and g(x) = 6x
So, (fog)(x) is, output of g(x) is the input of f(x) which is
f(6x) = (6x) + 1
f(6x) = 6x + 1.
Now, (gof)(x) is, output of f(x) is now input of g(x) which is
g(x+1) = 6(x+1)
g(x+1) = 6x + 6.
Thus we can see fog(x) ≠ gof(x).
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Ben made some apple pies. For every 4 cups of butter, he added 3 cups of water. The ratio of butter to water in Ben’s apple pies is ____.
3 over 4
4 over 3
3
4
Answers
hope this helps !!
Answer:
i think 3:4 dont take my word for it thoughn
Step-by-step explanation:
Bijou Museum sells 75% of its tickets for the regular price of $14. The remaining discount tickets are sold for the price of $10. Variable cost per guest is $2 for both groups, and fixed costs total $66,000 per month. What are the number of regular-price guests and discount guests at the breakeven point?
Answers
Answer:
Regular price guests = 3300
Discount price guests = 1100
Step-by-step explanation:
Breakeven point is the point where total revenue and total cost are equal.
Now, we know total cost is $66,000 per month.
Now, we are told that the museum sells 75% of its tickets for the regular price of $14.
If the total number of tickets is x. It means the number of regular tickets guests is 75%x = 0.75x
We are told that variable cost per guest in each group is $2. This means that total revenue from regular tickets guest is;
14(0.75x) + 2(0.75x) = 12x
Now, the remaining tickets are discount tickets sold for $10.
It means number of discount tickets guests = 0.25x
Total revenue from discount tickets =
10(0.25x) + 2(0.25x) = 3x
Thus, at break even point, we have;
12x + 3x = 66000
15x = 66000
x = 66000/15
x = 4400
Thus;
Regular price guests = 0.75 × 4400 = 3300
Discount price guests = 0.25 × 4400 = 1100
The sun is about 8 light minutes away. What is the distance
in meters?
Given: Distance to sun: 8 light minutes
speed of light: 3x10^8 m/s
(1 minute=60 seconds)
Unknown: Distance to sun in meters (in scientific notation)
Answers
OR 2.4x10^9
Is y=x+3.75 a proportional relationship? Yes or no
Answers
Answer:
NO
Step-by-step explanation:
if we plug in 1 = x, we get 4.75 = y. If this is proportional, then y/x will be the same in each scenario.
Let's plug in 2 = x to get y = 5.75. 5.75/2 = 2.875 DOES NOT EQUAL 4.75/1 = 4.75.
That means that the relationship is NOT proportional.
The easier way to tell is to see that there is a number being added, so it can't be a proportional relationship.
Answer:
No
Step-by-step explanation:
because if we put x=1 in equation y=x+3.75y=(1)+3.75y/x=4.75if that is proportional then y/x will be same in each scenarioand if we put x=2 then y=(2)+3.75y=5.27y/x=2.875so it is not equal, it mean that relation is not proportionalYou need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a similar garden with a perimeter of 105 feet? A flower garden in the form of trapezoid is shown. The length of longer base is labeled 18 feet, shorter base is 15 feet, height is 4 feet, and one leg is 5 feet.
Answers
Answer:
26.25 bottles
Step-by-step explanation:
A flower garden in the form of trapezoid is shown. The length of longer base is labeled 18 feet, shorter base is 15 feet, height is 4 feet, and one leg is 5 feet.
Formula for perimeter of a trapezoid = Side a + side b + length a + length b
For the trapezium shown, its perimeter step 1,
we have to find the missing length
Length a
We are given height = 4 feet
Length of the longer base = 18 feet
Length of the shorter base = 15 feet
Different would give us the base of the right angle triangle
= 18 - 15 = 3 feet
Using Pythagoras Theorem we can find the side a = c
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
c = √25
c = 5 feet
Hence side a = 5 feet
Perimeter of the Trapezoid shown =
18 feet + 15 feet + 5 feet + 5 feet
= 38 feet.
From the question,
You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a similar garden with a perimeter of 105 feet
Hence:
38 feet = 2 bottles
105 feet = x bottles
Cross y
= 38 × x = 105 × 2
= 38x = 105 × 2
x = 105 × 2/38
x = 26.25 bottles
26.25 bottles of fertilizer is needed to treat the garden with a perimeter of 105
Find the value of y.
Answers
Answer:
11
Step-by-step explanation:
we know opposite angles are the same, so
8y-16=72
+16
8y=88
/8
y=11
Identify the segment bisector of MN. Then find MN.
Answers
Answer:
Segment bisector: JK
MN = 52
since the 26 is right on a little line, tick mark or wtv, im no sure if MN= 78 or 52 but i'd just put 52. Sorry if im
wrongStep-by-step explanation:
Segment bisector is the line in half
The segment bisector of MN is JK and the measure of MN is 52.
What is a line segment?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
The only bisector of MN is JK and it is at the midpoint of the line segment MN so it will be a bisector.
Now,
Since JK is the bisector of MN
M(JK) = (JK)N
26 = (JK)N
So,
MN = 2(26) = 52
Hence "The segment bisector of MN is JK and the measure of MN is 52".
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find the root of the equation:5-6 of=-1
Answers
Answer: The answer is 5 1/2
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST!
A stadium has 55,000 seats. Seats sell for $42 in Section A, $24 in Section B, and $18 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,738,800 from each sold-out event. How many seats does each section hold?
Answers
Answer:
Section A = 27,500 seats
Section B = 14,800 seats
Section C = 12,700 seats
Step-by-step explanation:
Section A = $42
Section B = $24
Section C = $18
Revenue = $1,738,800
Total number of seats = 55,000
The number of seats in Section A equals the total number of seats in Sections B and C
A = B + C
A + B + C = 55,000
42A + 24B + 18C = $1,738,800
Substitute A = B + C into the equations
B + C + B + C = 55,000
42(B + C) + 24B + 18C = $1,738,800
2B + 2C = 55,000
42B + 42C + 24B + 18C = 1,738,800
2B + 2C = 55,000
66B + 60C = 1,738,800
Multiply (1) by 30
60B + 60C = 1,650,000. (1)
66B + 60C = 1,738,800. (2)
Subtract (1) from (2)
66B - 60B = 1,738,800 - 1,650,000
6B = 88,800
B = 88,800/6
= 14,800
B = 14,800
Substitute the value of B into
2B + 2C = 55,000
2(14,800) + 2C = 55,000
29,600 + 2C = 55,000
2C = 55,000 - 29,600
2C = 25,400
C = 25,400/2
= 12,700
C = 12,700
Substitute the values of B and 6 into
A + B + C = 55,000
A + 14,800 + 12,700 = 55,000
A + 27,500 = 55,000
A = 55,000 - 27,500
= 27,500
A = 27,500
Section A = 27,500 seats
Section B = 14,800 seats
Section C = 12,700 seats
Answer:
Section A has 27,500 seats
Section B has 14,800 seats
Section C has 12,700 seats
Step-by-step explanation:
To solve this, we will have equations:
let x = seats at section A
y= seats at section B
Z = seats at section C
we will get the following equation:
So from the question, x = y + z ..........(1)
x + y + z = 55,000 .........(2)
42x + 24y + 18z = 1,738,800 .... (3)
input equation (1) into (2)
y + z + y + z = 55,000
2y + 2z = 55,000...... (4)
so for exuation (3), input equation (1) into (3):
42x + 24y + 18z = 1,738,800
42(y + z) + 24y + 18z = 1,738,800
42y + 42z + 24y + 18z = 1,738,800
collect like terms:
66y + 60z = 1,738,800 ..... (5)
multiply equation (4) by -30. -30 is chosen to remove z from the equation so we could get what y is
-60y - 60z = - 1,650,000 ...... (6)
add equation (5) and (6)
6y + 0 = 88,800
y = 14,800 seats
Input the value of y into equation (4) to find z
2y + 2z = 55,000
2(14,800) + 2z = 55,000
29,600 + 2z = 55,000
2z = 25,400
z = 12,700 seats
To find the number of seats in section A we use equation (2)
x + y + z = 55,000
x +14,800 + 12,700 = 55,000
x + 27,500 = 55,000
x = 27,500 seats
To verify our answer to see if the number of seats in Section A equals the total number of seats in Sections B and C.
total number of seats in Sections B and C = 14,800 + 12,700 = 27,500
so number of seats in section A = B + C
Janice bought 5.5 m of fabric.
About how many yards of fabric did she buy?
(1 m ≈ 1.09 yd)
Enter your answer in the box. Do not round your answer.
Answers
Hope this helps!
what is the answer to (-7)(2)(-2).
Answers
Answer:
28
Step-by-step explanation:
-2 × -7 = 14
14 × 2 = 28
thats the correct answer
11/12 times 7 equals what in a fraction
Answers
Answer: 77/12
Step-by-step explanation:
1) 11/12 * 7 = (11*7)/12 = 77/12
77/12
Decimal Form:
6.41
¯
Mixed Number Form:
6 5/12
What does losing 100 points do to an A-? What will my overall grade be after I lose the points?
I don’t know if this is different for other countries but I’m in America.
Answers
Answer:
Well from all the exams and assignments I've had, 100 points is the full grade so losing 100 points would mean you would fail with a 0
Miles records the time it takes to download a variety of file types. How is the download time related to that file size? How can you show that two quantities have a proportional relationship?
Answers
Answer:
answer is 5 minutes
Step-by-step explanation:
-5(5-3v)=-115
Helpp me please
Answers
we start by opening the brackets so it will be -25 plus 15 v is equals to 115. negative times a negative is a positive so -5 times -3 we we have gotten positive 15v there I hope you understood so our new equation is -25 + 15v is equals to 115 collect the like terms 15v is equals to 115 + 25 15 v is equals to 140 divide both sides by 15 so v is equals to 9 and 1/3
Clara estimates that the product of 32 and 41 is about 1,200.
Answers
Reason:
It’s asking for ESTIMATION and PRODUCT for 32 and 41. First, you have to round all numbers to friendly. 32 can turn into 30. 41 can turn into 40. Multiply then and it gives you 1,200!
Hope this helps you!
There are 2 squares and 4 triangles. What is the simplest ratio of squares to total shapes?
Answers
Answer:
2:6
Simplest= 1:3
Find the quotient
6 1/2 divided by 3 2/3
Answers
Answer:
Step-by-step explanation:
Free points ig
The solution is : the quotient 6 1/2 divided by 3 2/3 is 1 17/22.
Here, we have,
given that,
6 1/2 divided by 3 2/3
Given the following mathematical expression;
6 1/2 / 3 2/3
We would apply the law of indices for fractions.
6 1/2 / 3 2/3
= 13/2 / 11/3
=13*3/ 2*11
=39/22
=1 17/22
Hence, The solution is : the quotient 6 1/2 divided by 3 2/3 is 1 17/22.
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5x2 - 50 + x, when x =4
Answers
Answer:
44
Step-by-step explanation:
5*2=10-50=40+4=44
I need help with this question 7.89 square root X12+65=
Answers
Answer:
79x 8.8881941732 approximately 54Thanks for the points A hope it helped alotAnswer:
79×8.88881941732 approximately 54.Tysm for points.~Anna BellaWha is the property fr each one pls aswer Asap
Answers
9514 1404 393
Answer:
A. Given; B. multiplication; C. distributive; D. collect terms; E. addition; F. division
Step-by-step explanation:
You are expected to compare each line to the previous line and identify the changes. Apart from combining like terms (collecting terms), there are generally only three properties of interest: distributive property, addition property, multiplication property. Of course, subtraction and division are just addition and multiplication using the appropriate (additive, multiplicative) inverse.
The distributive property involves adding or deleting parentheses, so it is easy to identify.
If terms disappear, it can be due to terms being combined, or due to addition/subtraction. If coefficients disappear, it will generally be due to multiplication/division.
__
-2.5(-2-3x)+2.5(-4x-1) = -2x -4x . . . . Given
-5(-2 -3x) +5(-4x -1) = -4x -8x . . . . multiplication by 2 (fractions eliminated)
10 +15x -20x -5 = -4x -8x . . . . distributive property (eliminate parentheses)
-5x +5 = -12x . . . . collect terms
5 = -7x . . . . addition of 5x (-5x term disappeared)
-5/7 = x . . . . division by -7 (x coefficient of -7 disappeared)
which programming language was used in the first generation conputer
I:machine language
2:assembly language
3:high level language
3:natural language
Answers
Answer:
machine language
Step-by-step explanation:
The computers in this generation used machine code as the programming language.
The machine language also referred to as the native language of the computer system is the first generation programming language. In the machine language, a programmer only deals with a binary number. They are translation free and can be directly executed by the computers.
Need help with this. Plz! Thank you
Answers
5 × -92 =
Just a quick response on how to solve this, thanks a ton!
Answers
5 × -92 =
Just a quick response on how to solve this, thanks a ton!
Answer:
-460
Answer: -460
Step-by-step explanation:
plz plz plz plz plz plpz help mee
Answers
Answer:
175
Step-by-step explanation:
x / 7
100 (the mean goal)
100 + 65 + 120 + 150 + 90 + 0 + y = 700
100 + 65 + 120 + 150 + 90 + 0 + 175 = 700
700 / 7
100
Which equation represents f(x)? f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1 f(x) = RootIndex 3 StartRoot x minus 6 EndRoot + 1 f(x) = RootIndex 3 StartRoot x + 6 EndRoot minus 1 f(x) = RootIndex 3 StartRoot x minus 6 EndRoot minus 1
Answers
Answer:
A.
Step-by-step explanation:
The equation that represents function f(x) is (a) [tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]
The original function is given as:
[tex]y = \sqrt[3]{x}[/tex]
First, the function is translated 6 units left.
The rule of this translation is:
[tex](x,y) \to (x +6,y)[/tex]
So, we have:
[tex]y = \sqrt[3]{x + 6}[/tex]
Next, the function is translated 1 unit up.
The rule of this translation is:
[tex](x,y) \to (x,y+1)[/tex]
So, we have:
[tex]y = \sqrt[3]{x + 6} + 1[/tex]
Express y as a function of x
[tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]
Hence, the equation that represents f(x) is [tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]
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Log2 x + log2 (6-x)=3 solve for x algebraically
Answers
Answer:
The solution is x = 2 and x = 4
Step-by-step explanation:
Let us revise some rules in logarithmic function:
[tex]log_{a}(x)+log_{a}(y)=log_{a}(xy)[/tex]The logarithmic function is the inverse of the exponential function [tex]log_{b}(c)=a[/tex] is the inverse of [tex]b^{a}=c[/tex]Let us solve the question
∵ [tex]log_{2}(x)+log_{2}(6-x)=3[/tex]
→ By using the first rule above
∴ [tex]log_{2}(x)(6-x)=3[/tex]
→ Multiply x by (6 - x)
∵ x(6 - x) = x(6) - x(x) = 6x - x²
∴ [tex]log_{2}(6x-x^{2})=3[/tex]
→ Change the logarithmic function to exponential function using
the second rule above
∴ [tex]2^{3}=(6x-x^{2})[/tex]
∵ 2³ = 8
∴ 8 = 6x - x²
→ Add x² to both sides
∴ x² + 8 = 6x
→ Subtract 6x from both sides
∴ x² - 6x + 8 = 0
→ Factorize it into 2 brackets
∴ (x - 2)(x - 4) = 0
→ Equate each factor by 0 to find the values of x
∵ x - 2 = 0
→ Add 2 to both sides
∴ x = 2
∵ x - 4 = 0
→ Add 4 to both sides
∴ x = 4
∴ The values of x are 2 and 4
∴ The solution of the equation is x = 2 and x = 4
answer this qusten and ill mark u brainlyest 6+6 hhehehe
Answers
Answer:
6+6= 30 billion
Step-by-step explanation:
Answer:
6 + 6 = 66 or 12
Step-by-step explanation:
I'm not sure
Which of the following is the graph of y=sqrt x+1?
Answers
Answer:
B
Step-by-step explanation:
The graph for y= √x+1 is shown below.
What is the square root function?The square root function f(x)=√x has domain [0,∞) with range [0,∞).
Similarly the given function is y=f(x)= √x+1
From the graph, it is clear that the function is valid for x≥0 because x<0 √x will be imaginary.
So the domain of the function f(x)= √x+1 will be [0,∞).
As we know,
√x ≥0
⇒ √x+1≥0+1
⇒√x+1 ≥ 1
⇒f(x) ≥ 1
the function f(x) has range [1,∞).
f(x)=√x+1 ha y intercept at x=0
f(0)= √0+1=1
f(x) has y intercept at (0,1).
Function F(x) will increase from point (0,1).
Therefore The graph for y= √x+1 is shown below.
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