Answer:
This is not an arithmetic sequence because -15 + 7 = -8, not 8.
Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other.
f(x)=6x+5 and g(x)= x-5/6
a. f(g(x))= (Simplify your answer.)
b. g(f(x))= (Simplify your answer.)
Step-by-step explanation:
a. f(x) = 6x+5 and g(x) = x--5/6
f(g(x)) = 6x + 5
Now, let x = g(x) (remember f(x) = 6x+5 so we got the x from f(x))
f(g(x)) = 6(x--5/6) + 5
Open bracket
f(g(x)) = 6(x -- 5/6) + 5
f(g(x)) = x -- 5 + 5
f(g(x) = x
b. g(f(x) = x--5/6
g(f(x) = (6x+5) -- 5/6
g(f(x)) = 6x + 5 -- 5/6
g(f(x)) = 6x/6
g(f(x)) = x...
To check for inverse
1/g(f(x) = 1/x
1/f(g(x) = 1/x
Meaning 1/f(g(x) = 1/g(f(x) inverse of each other
#AllonGod
solve for N
6n−6=−9n+54
n=
Answer:
[tex]n=4[/tex]
Step-by-step explanation:
[tex]6n-6=-9n+54[/tex]
Shifting the like terms:
[tex]6n+9n=54+6[/tex]
Simplify the equation:
[tex]15n=60[/tex]
Solve for n:
[tex]n=\frac{60}{15}[/tex]
The final answer is:
[tex]n=4[/tex]
whats the sum of a number and negative three in a algebraic expression
Answer: x+-3
Step-by-step explanation: So you can make the number a variable so I put x and you add -3 so your answer would be x+-3
Hope this helped!!!!
Faster faster i need help i mark brainliest if you do it
The true statement is option A, They show that the equation represents the same line.
Given,
Two equations:
Equation A : 4y - 3x = 4
Equation B : -2x - 8y = 8
These lines intersect at a single point (-2, -0.5)
We have to find the true statement which satisfies the values x as -2 and y as -0.5.
Lets check
x = -2
y = - 0.5
Equation A:
4y - 3x = 4
4 × (-0.5) - 3 × (-2)
= -2 - (-6)
= - 2 + 6
= 4
Here, the values satisfies Equation A.
Now,
Equation B:
-2x - 8y = 8
= - 2 × (-2) - 8 × (-0.5)
= 4 + 4
= 8
Here also, the values satisfies the Equation B.
So, the true statement will be,
Option A, They show that the equation represents the same line.
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If six more than 3 times a number is equal to 12 less than double the same number. choose the equation you will use to solve for the unknown number and the number (solution).
Answer: 3x + 6 = 2x - 12
Step-by-step explanation: So, the answer to what x is:- is
3x + 6 = 2x - 12
3x - 2x = -12 - 6
x = - 18
Write the missing partial products in the area model Then, write the partial to complete the equation below. Find the sum
The missing partial products are:
10 x 2 = 20
6 x 50 = 300
6 x 2 = 12
The sum of the partial products is,
16 x 52 = 500 + 300 + 20 + 12 = 832
Here the partial products method is used to find the product of two two digit numbers 16 and 52.
For this a table of the form given in the figure is constructed in which the partial products are found.
For this first split 16 and 52 into 10 + 6 = 16 and 50 + 2 = 52.
Then take the partial products between 10 and 50, 10 and 2, 6 and 50, 6 and 2. Then take the sum of all these four values to get the final answer. This is the method of partial products.
So finding the partial products,
10 x 50 = 500
10 x 2 = 20
6 x 50 = 300
6 x 2 = 12
To find the final answer, take the sum of these products.
500 + 300 + 20 + 12 = 832
⇒ 16 x 52 = 832
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Dr. Wolf, the biologist, captures 20 fish out of a small lake behind his college. He fastens a
marker onto each of these and throws them back into the lake. A week later, he again
captures 20 fish. Of these, 2 have markers. How many fish could Dr. Wolf estimate are in
the pond?
There are 200 fishes estimated.
What is proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total. According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
captures 20 fish out of a small lake behind his college.
Now,
He again catches 20 fishes out of which 2 have markers
let the estimated fish are x.
So,
2/ 20 = 20 /x
20 x 20 = 2x
400 = 2x
x= 400/ 2
x= 200
Hence, there are 200 fishes estimated.
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Identify the interval on which the quadratic function is positive.
1. y = -7x^2 + 35x - 28
Identify the interval on which the quadratic function is negative.
2. y = 2x^2 - 4x - 16
Help on these problems above would be appreciated, thanks! (ɔ◔‿◔)ɔ ♥
Answer:
[tex]\textsf{1. \quad Solution: $1 < x < 4$,\quad Interval notation: $(1, 4)$}[/tex]
[tex]\textsf{2. \quad Solution: $-2 < x < 4$,\quad Interval notation: $(-2, 4)$}[/tex]
Step-by-step explanation:
Question 1The intervals on which a quadratic function is positive are those intervals where the function is above the x-axis, i.e. where y > 0.
The zeros of the quadratic function are the points at which the parabola crosses the x-axis.
As the given quadratic function has a negative leading coefficient, the parabola opens downwards. Therefore, the interval on which y > 0 is between the zeros.
To find the zeros of the given quadratic function, substitute y = 0 and factor:
[tex]\begin{aligned}y&= 0\\\implies -7x^2+35x-28& = 0\\-7(x^2-5x+4)& = 0\\x^2-5x+4& = 0\\x^2-x-4x+4& = 0\\x(x-1)-4(x-1)&= 0\\(x-1)(x-4)& = 0\end{aligned}[/tex]
Apply the zero-product property:
[tex]\implies x-1=0 \implies x=1[/tex]
[tex]\implies x-4=0 \implies x=4[/tex]
Therefore, the interval on which the function is positive is:
Solution: 1 < x < 4Interval notation: (1, 4)Question 2The intervals on which a quadratic function is negative are those intervals where the function is below the x-axis, i.e. where y < 0.
The zeros of the quadratic function are the points at which the parabola crosses the x-axis.
As the given quadratic function has a positive leading coefficient, the parabola opens upwards. Therefore, the interval on which y < 0 is between the zeros.
To find the zeros of the given quadratic function, substitute y = 0 and factor:
[tex]\begin{aligned}y&= 0\\\implies 2x^2-4x-16& = 0\\2(x^2-2x-8)& = 0\\x^2-2x-8& = 0\\x^2-4x+2-8& = 0\\x(x-4)+2(x-4)&= 0\\(x+2)(x-4)& = 0\end{aligned}[/tex]
Apply the zero-product property:
[tex]\implies x+2=0 \implies x=-2[/tex]
[tex]\implies x-4=0 \implies x=4[/tex]
Therefore, the interval on which the function is negative is:
Solution: -2 < x < 4Interval notation: (-2, 4)A magician is training for an underwater escape trick. Using a new technique, he can hold his breath for 144 seconds. That is 60% more than he was able to do when he first tried. How long could the magician hold his breath when he first tried?
The number of seconds that the magician hold his breath when he first tried is 90 seconds.
How to calculate the value?With the new technique, he can hold his breath for 144 seconds and that is 60 percent more than he was able to do when he first tried.
Let the number of seconds for the first try be represented by x. Therefore, based on the information, this will be illustrated as:
= x + (60% × x) = 144
x + 0.6x = 144
1.6x = 144
Divide
x = 144 / 1.6
x = 90
Therefore, the first try is 90 seconds.
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The product of 2 and the difference of a number and 5.
The expression for the product of 2 and the difference of a number and 5 is 2x - 10
What is an algebraic expression?An algebraic expression can simply be defined as mathematical expressions that are composed of terms, variables, coefficients, factors and constants
These expressions also known to be made up of various mathematical or arithmetic operations, such as;
MultiplicationBracketSubtractionParenthesesAdditionDivision, etcFrom the information given, we have;
The product of 2 and the difference of a number and 5.
Let the number be x
This can be represented thus;
2(x- 5)
expand the bracket, we have;
2x - 10
Hence, the expression is 2x - 10
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Complete question:
Write the expression for
!!!!!!!
Using the figure below, Maggie used the definition of vertical angles to help her solve for x. Since vertical angles are congruent, she set the two given expressions equal to each other. After solving for x, her teacher said she got the wrong value for x. Explain where Maggie made her mistake when solving for x.
Answer:
Step-by-step explanation:
When subtracting 7x from both sides in the first step, she said [tex]4x-7x=3x[/tex], even though [tex]4x-7x[/tex] is actually equal to [tex]-3x[/tex].
if the cost price of 20 pencils is equal to selling price of 16 pencils,find the profit percent.
Answer:
how i understand this is:
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by
100
=125%?
(correct me if am wrong)
A=1
B=25
C = 100
D = 55
E = +
F = -
G =()
AECGDECGEC
Answer:
15601 OR 1+100(55+100)+100
Step-by-step explanation:
A=1
B=25
C = 100
D = 55
E = +
F = -
G =()
AECGDECGEC
1+100(55+100)+100
1+100(155)+100
1+15500+100
15601
3) A retailer allows 15% discount on the marked price of an electric fan. If a customer pays Rs. 2244 with 10% VAT, find the marked price of the fan.
Answer:
Step-by-step explanation:
so if this = that then this = x plus five 5 into 9
is
6 9 420 = 69x so pls go away 4848]
568393=334-0i34-0 o
A video game costs $25.
After a 40% discount, Mohamad pays $
I
for this game.
Answer:
$15
Step-by-step explanation:
25÷100×40=10
25-10=15
Answer:
Discount is 40 % so Mohamad will pay 60%
25x 60/100
=1 x 60/4
=60/4
=15
60% of $25 is= $15
Mohamad pays $15
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Time Conversions: Convert to the asked time.
. 8 hours, 20 minutes, and 36 seconds =
hours
The answer in hours is 8.91 hours.
How do you convert minutes and seconds to hours?Converting between hours, minutes, and seconds using decimal time is relatively straightforward: time in seconds = time in minutes * 60 = time in hours * 3600. time in minutes = time in seconds / 60 = time in hours * 60. time in hours = time in minutes / 60 = time in seconds / 3600.
Given: 8 hours 20 minutes and 36 seconds
20 minutes in hours can be written as 20 / 60 = 1/3 hours or 0.9 hours
because as mentioned above 1 hour = 60 min
and 36 seconds in hours can be written as 36/ 60X60 = 1/ 100 hours or 0.01 hours .
because 1 min = 60 seconds and 1 hour = 60 min
thus 1 hour = 60 X 60 seconds
Thus the final answer is 8+0.9+0.01 hours = 8.91 hours
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5/6 x = 15
Explain please and say the answer
Answer:
x=18
Step-by-step explanation:
multiply both sides of the equation by 6/5
simplify
yw
In a square, side = 8cm, breadth = ?, area = ?
In a square, if the side is 8 cm and the square is having all its sides equal. Therefore, the area will be 8×8 = 64 cm²
Square: A plane-closed figure with four sides, having all four sides equal and connected with one another at 90° which creates four right angles.
unlike a rectangle that has both length and breadth and all sides are not equal, rather rectangle has two opposite sides equal.
if, length = breadth, this will result in the formation of a square.
Therefore, Breadth in the square doesn't exist as all sides are equal in the square. Area of a square = side× side
⇒ 8×8 = 64 cm².
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Sam spent a total of $24 at the school carnival. He paid a $6 entrance fee and $2 for each ride. Which equation can be used to determine how many rides Sam rode at the carnival?
Answer:
The correct equation is 2x + 6 = 24.
While working out at the gym, Bryan spent 30 minutes lifting weights and 45 minutes on the stair-climber. What is the ratio of the time Bryan spent on the lifting weights to the total time spent at the gym?
Answer:
30/75 = 2/5 or 2:5
Hope this helps!!!
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
7x + 12
Step-by-step explanation:
(10x - 3x) + 12
7x + 12
Select all ratios equivalent to 6:8
21:28. 9:12. 36:48
Answer:
All of them
Step-by-step explanation:
The ratios equivalent to 6:8 would be:
21:28
9:12
36:48
All of these answer choices would be correct because they are all multiples of 6
6x + 7 = – 5
what is it?
Step-by-step explanation:
I hope it will be helpful for you.
Step-by-step explanation:
6x + 7 = -5 -7 -7___________6x + -12 __ __ the two small lines mean ÷6 6x = -2
hope this helps:)
Express your answer as a polynomial in standard form. f(x) = x - 1
g(x) = 3x² - 4x-12
Find: g(f(x))
Answer:
[tex]3x^2 - 10x -5[/tex]
Step-by-step explanation:
[tex]g(f(x))=g(x-1) \\ \\ =3(x-1)^2-4(x-1)-12 \\ \\ =3(x^2-2x+1)-4(x-1)-12 \\ \\ =3x^2-6x+3-4x+4-12 \\ \\ =3x^2 - 10x -5[/tex]
Answer:
[tex]g(f(x))=3x^2-10x-5[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=x-1\\g(x)=3x^2-4x-12\end{cases}[/tex]
Function composition is an operation that takes two functions and produces a third function.
Therefore, the given composite function g(f(x)) means to substitute function f(x) in place of the x in function g(x):
[tex]\begin{aligned}\implies g(f(x))&=g(x-1)\\& = 3(x-1)^2-4(x-1)-12\\&=3(x-1)(x-1)-4x+4-12\\&=3(x^2-2x+1)-4x-8\\&=3x^2-6x+3-4x-8\\&=3x^2-6x-4x+3-8\\&=3x^2-10x-5\end{aligned}[/tex]
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Martin Binford is an author. He has no income he would report on line 1a or line 1b of his schedule SE. He earned $143,380 in 2010 from his books. He had $3,563 in expense. How much self-employment tax does he owe?
Answer:
He owes $33556.08 worth of self employment tax.
Explanation:
consider firstly calculating the profit that he has made after this period which can be calculated as profit= income minus expenses and in this case we are given income earned from self employment of $143380 and the expenses incurred in generating this income is $3563 so we find he difference in these two amounts which is $143380-$3563 = $139817 therefore this profit is the taxable income that he needs to deduct tax from.
in order to calculate tax from this amount we go to the tax table so therefore a person earning between $84201 to $160725 is charged 24% tax as per tax table. so now we will say $139817 x 24% = $33556.08 is the tax he owes the IRS.
QUICK!! I need help please.
The side that is adjacent to angel f has a length of 3 4 5
[tex]5^{2}[/tex]= 25, forming the right triangle of 3 4 5.
what is adjacent angle?When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to an end. When adjacent angles have a same vertex and side, they can be a complimentary angle or supplemental angle.
what is adjacent rule angle?If two angles share a side and a vertex, they are said to be neighboring in geometry. In other words, neighboring angles do not overlap and are placed next to one another immediately.
Remember that a2 + b2 = c2.
[tex]5^{2}[/tex] = 25, so the 3 4 5 right triangle .
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Which fractions are equivalent to 0.6? Select all that apply.
Answer:
22/33,2/3 and 6/9=0.66666666666666666 or 0.6(bar) as asked in question
3/5 is equal to 0.6 not 0.66666666
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Please help I don’t know what it is I’ll give lots of pointssss.
Answer:
Step-by-step explanation:
1) p - m = n
p = n + m
p - n = m
p - m = n ; p = n + m and p - n = m represents same relationship.
2)
[tex]\sf p =\dfrac{n}{m} \ ; \ m =\dfrac{n}{p} \ and \ pm = n \ represents \ same \ relationship.[/tex]
3)
[tex]\sf \dfrac{m}{p}= n \ ; \dfrac{m}{n}=p \ ; \ and \ pn = m \ represents \ same \ relationship.[/tex]
Find the dividend. ___ ÷ 12 = 4.55
5.46
5.64
54.6
56.4
Answer:
54.6
Step-by-step explanation:
Answer:
54.6
Step-by-step explanation:
Multiply 4.55 by 12 to get 54.6.
Then divide it by 12 to get 4.55