Answer:
Option (2)
Step-by-step explanation:
If m(x) and n(x) are the functions inverse of each other,
Then the following condition should be fulfilled,
m[n(x)] = n[m(x)] = x
Here, m(x) = [tex]\frac{3x}{x+7}[/tex] and n(x) = [tex]\frac{7x}{3-x}[/tex]
m[n(x)] = [tex]\frac{3(\frac{7x}{3-x})}{(\frac{7x}{3-x})+7}[/tex]
= [tex]\frac{21x}{7x+21-7x}[/tex]
= x
n[m(x)] = [tex]\frac{7(\frac{3x}{x+7})}{3-\frac{3x}{x+7}}[/tex]
= [tex]\frac{21x}{3x+21-3x}[/tex]
= x
Therefore, [tex]\frac{3(\frac{7x}{3-x})}{(\frac{7x}{3-x})+7}=\frac{7(\frac{3x}{x+7})}{3-\frac{3x}{x+7}}=x[/tex] will be the correct option.
Option (2) will be the answer.
c=97, b=72, a=? Find a
A. 35
B. 75
C. 65
D.54
Answer:
65
Step-by-step explanation:
c^2-b^2=a^2
64^1-3n • 16^3n-3 = 64^-3n-3
The answer is
2^6(1-3n)×2^4(3n-3)=2^6(-3n-3).
2^(6-18n)×2^(12n-12)=2^(-18n-18).
(6-18n)×(12n-12)=(-18n-18).
6-18n×12n-12=18n-18.
6-12×-18n-12n=18n-18
-6×-30n=18n-18.
-6×18=-18+30
-108=48n.
n= -108/48.
n=-2.25.
Is the expression 3x^2-5x^3 a Polynomial? If yes, what is the degree?
Answer: The answer is: it is a fifth degree binomial or 'quintic binomial'.
Step-by-step explanation:
Is the expression 3x^2-5x^3 a polynomial?
So, we have to know what polynomial means. A polynomial is... "an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables."
So let's take a look at this expression.
Does it consist of variables and coefficients? YES
Does it only involve operations of addition, subtraction, multiplication, and non-negative integer exponents of variables? YES
Therefore, it is a polynomial.
Now, we have to figure out what degree this polynomial is.
The degree of the polynomial is the degree of the monomial with the largest degree.
So the largest degree would be the 3rd degree, because it is, of course, the largest out of the two powers listed.
And also, keep in mind that this is a binomial (made up of two monomials).
Therefore, it is a fifth degree binomial or 'quintic binomial'.
A = (b1 + b2)h
Solve for b1
Answer:
b1 = A/h - b2
Step-by-step explanation:
Given equation:
A = (b1 + b2)hSolving for b1:
A = (b1 + b2)h ⇒ divide both sides by hA/h = b1 + b2 ⇒ subtract b2 from both sidesb1 = A/h - b2 ⇒ answerif p(x)= 2x^2 -4x and q(c) = x-3, what is (p•q)(x)
Answer:
2x^3 - 10x^2 +12x
Step-by-step explanation:
p(x)= 2x^2 -4x
q(x) = x-3
(p•q)(x) = (2x^2 -4x) * ( x-3)
FOIL
first 2x^2 *x = 2x^3
outer 2x^2 *-3 = -6x^2
inner -4x *x = -4x^2
last -4x*-3 = 12x
Add together
2x^3 -6x^2 -4x^2 +12x
Combine like terms
2x^3 - 10x^2 +12x
Answer:
(p•q)(x) = 2x² - 16x + 30Step-by-step explanation:
p(x) =2x² - 4x
q(x) = x - 3
In order to find (p•q)(x) substitute q(x) into p(x) that's replace every x in p(x) by q(x)
That's
(p•q)(x) = 2( x - 3)² - 4( x - 3)
Expand the terms
That's
(p•q)(x) = 2( x² - 6x + 9) - 4x + 12
= 2x² - 12x + 18 - 4x + 12
Group like terms
(p•q)(x) = 2x² - 12x - 4x + 18 + 12
Simplify
We have the final answer as
(p•q)(x) = 2x² - 16x + 30
Hope this helps you
Six times a number is at least four less than eight times the number. If x represents the number, which will help find the number?
Answer:
The first thing you need to do here is create an equation.
I've created it for you: 6x = 8x - 4
If you want to solve it, you have to move the like terms to one side so...
4 = 2x
and x = 2
Hope this helped!
Answer:
The correct answer is C on Edge.
Step-by-step explanation:
Edge 2021.
The expresssion, –0.25x + 5, models the height of a candle x seconds after it is lit. What is the meaning of the constant term of the function?
Answer:
the height of the candle before it is lit
Step-by-step explanation:
When the candle is first lit, time is 0.
At tome 0, x = 0 and the height is -0.25(0) + 5 = 5.
The height is 0 at time zero, so the constant term, 5, represents the height of the candle before it is lit.
Given: m∠LON=113° m∠LOM=3x+20 ° m∠MON=2x+33° Find ∠MON
Answer:
m<MON = 57°
Step-by-step explanation:
Glad to help ;)
Write an absolute value inequality to represent each situation:
A friend is planning a trip to Alaska. He purchased a coat that is recommended for outdoor temperatures from -15°F TO 45°F. Let t represent the temperature for which the coat is intended. Please show all steps too, please \(^v^)/
Answer:
I forgot about this app
Chang is on his way home in his car. He had driven 36 so far, which is three-fourths of the way home. What is the total length of his drive.
Answer:
the total length of his drive is 42
Consider the function represented by 9x+3y=12 with x as the independent variable. How can this function be written using function notation? f(y)=1/3v+4/3 f(x)=-3x+4 f(x)-1/3x+4/3 f(y)=-3y+4
Answer:
f(x)=-3x+4
Step-by-step explanation:
just took the test
simplify the expression -9(8+6n-4)
Answer: -36-54n
Step-by-step explanation:
-9(8+6n-4)
=-72-54n+36
=-72+36-54n
=-36-54n
Hope this helps!! :)
Please let me know if you have any question or need further explanation
Answer:
-54n-36
Step-by-step explanation:
-9x8= -72
-9x6n=-54
-9x-4= -54n
-72-54n+36
-72+36=-36
-54n-36
Please, someone help!
The order of magnitude of the distance to size ratio of the Sun- Nearest Star system is about ______ times that of the Sun-Earth system.
References:
The distance to size ratio of the Sun- Nearest Star system is 100,000,000
The distance to size ratio of the Sun-Earth system is 10,000
Hint you have to divide them, however, the answer is not 10,000
Please help! I will mark the brainliest!
Answer: 1:10,000
Step-by-step explanation:
given data:
distance of the nearest star system = 100,000,000
distance to size ration of the sun earth system = 10,000
therefore;
100,000,000 / 10,000
= 10,000
The order of magnitude of the distance to size ratio of the Sun- Nearest Star system is about 1:10,000 times that of the Sun-Earth system.
twice the sum of two numbers is 36 If one of the numbers is 10 find the other number
Answer:
8
Step-by-step explanation:
10 + 8 = 18
18 x 2 = 36
Answer:
So we know the sum of two numbers, let them be x and y, is equal to 36:
x + y = 36
And on of them, for example, y, is equal to 10:
x + 10 = 36
Now, the only thing we need to do is solving the equation to find x:
x + 10 = 36
We pass the 10 substracting to the right:
x = 36 - 10
And now, we substract:
x = 26
Now we know one number is 10 and the other is 26, so we can verify we have done all correctly
26 + 10 = 36 (TRUE)
Now we know we have done the exercise well.
Find 1 3/4 divided by 1 1/6 write the answer in simplest form
Answer: 3/2
Step-by-step explanation:
1 3/4 ÷ 1 1/6
STEP 1. convert into improper fraction
1 3/4=7/4
1 1/6=7/6
--------------------------------------------
STEP 2. to the operation
1 3/4 ÷ 1 1/6
=7/4 ÷ 7/6
=7/4 × 6/7
=6/4
=3/2
Hope this helps!! :)
Please let me know if you have any question
Answer:
1.5
Step-by-step explanation:
First find 1 3/4 and 1 1/6 as an improper fraction. 1 3/4 = 7/4 because 1 times 4 plus three. 1 1/6 = 7/6 because 1 times 6 plus 1, so now you have 7/4 divided by 7/6. You change 7/6 to it's reciprocal, which is 6/7. Now it's like multiplication with fractions. 7*6=42. 4*7=28, so it's 42/28.
Now we want to simplify. It can be simplified to 1 1/2, which is also 1.5. Hope this helps.
heyy, please help! Thank you
Answer:
9
Step-by-step explanation:
3-(-6)=9
Hi there! :)
Answer:
[tex]\huge\boxed{q -r = 9}[/tex]
q = 3
r = -6
q - r = 3 - (-6) = 9
Glenn bought 3 pounds of tomatoes. He used bles of them to make sauce. Make an equation that shows the number of pounds of tomatoes Glenn used for the sauce. Move numbers and symbols to the blanks to complete the equation. If there is no whole number in the answer, put a 0 in the first box after the equals sign.
Answer:
He used [tex]1\frac{7}{8}\ lb[/tex]
Step-by-step explanation:
Given
[tex]Total = 3\ lb[/tex]
[tex]Fraction = \frac{5}{8}[/tex] to make sauce
Required
Determine the number of pounds used
To solve this, we simply multiply the fraction of tomato used by the total;
[tex]Used = Fraction * Total[/tex]
[tex]Used = \frac{5}{8} * 3\ lb[/tex]
[tex]Used = \frac{5 * 3}{8}\ lb[/tex]
[tex]Used = \frac{15}{8}\ lb[/tex]
Convert to mixed number
[tex]Used = 1\frac{7}{8}\ lb[/tex]
Hence,
He used [tex]1\frac{7}{8}\ lb[/tex] out of the 3lb he bought
$563.48 + $4.72 + $327=
Answer:
$895.20
Step-by-step explanation:
evaluate the expression. 5^2. what is the value of the expression?
Answer:
25
Step-by-step explanation:
5^2 means 5 multiplied by itself 2 times, so therefore: 5x5
5x5 = 25 so 5^2=25
Hope this helped!
Answer:
25Step-by-step explanation:
[tex]5^2 = 5\times 5\\=25\\[/tex]
The values in the x column represent a specific number pattern, while the values in the y column represent a different pattern. Which graph provides visualization of these two patterns?
Answer: The answer is the top right question
Step-by-step explanation:
Answer:
the awnser is the top right one
Step-by-step explanation:
if you look at the x and y and look at the chart it says x 2 y 1 the first point is on x 2 and on y 1 and i did the test awnser was right
What decimal number is represented by the shaded portion of the model?
Answer:
0.57
Step-by-step explanation:
Step 1: Count the total amount of squares
10 by 10 square, so 100 squares in total
Step 2: Count how many rows have been filled
5 rows of 10, so 50 out of 100, or 0.50
Step 3: Count the rest
7 out of 100, so 0.07
Step 4: Add
0.07 + 0.50 = 0.57
Answer:
0.57
Step-by-step explanation:
I took the quiz on edge
Jillian's school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales
for opening night totaled $2071.50. The equation 10.50 +3.750 = 2071.50,
where a is the number of adult tickets sold and b
is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students
attended, how may adult tickets were sold?
adult tickets
Hi
Answer:
b= 322.8
Step-by-step explanation:
10.50a + 3.75b = 2071.50
10.50 (82) + 3.75b = 2071.50
861 + 3.75b = 2071.50
-861 -861
3.75b = 1210.5
/3.75 /3.75
b = 322.8
You need at least 10,000 points to advance to the next level of a video game. Your current score is 3200 points. Write and solve an inequality that represents how many more points you need to advance.
Answer:
x + 3200 greater than or equal to 10000
Step-by-step explanation:
you need 6800 more
Solve
-8- 21 + 10x=61
Answer:
Hello! :) I hope I am correct!!
Step-by-step explanation:
The answer would be: x=9
(Below is how I got ‘x=9’)
Here are the steps to solve this problem/equation.
1. Simplify both sides to the equation.
⇒10x +-21=61
⇒10x -29=61
2. Now add 29 to both of the sides
⇒ (you will end up with: 10x=90
3. And finally you divide both sides by 10
⇒ so x=9
Hope this helps!
By; BrainlyAnime
(I attached a picture of another way to solve this problem/equation!)
Part A A high school athlete ran the 100 meter sprint in 13.245 seconds. Round the time to the nearest tenth.Part B Explain how you arrived at the answer. Include any rules that you followed.
Answer:
t = 13.2 s
Step-by-step explanation:
Given that,
An athlete ran the 100 meter sprint in 13.245 seconds. We need to round off the time to the nearest tenth.
Here, t = 13.245 s
In order to round off to the nearest tenth, thousandths place and hundredth place gets eliminated.
So, t = 13.2 s
So, time is 13.2 seconds.
Answer: 13.2
Step-by-step explanation: hope you made it
(r/3)(3) Please help explain how to do this
Answer:
rStep-by-step explanation:
[tex]( \frac{r}{3} )(3) \\\frac{r}{3} \times 3[/tex]
Convert elements to fraction :
[tex]3 = \frac{3}{1} [/tex]
[tex] \frac{r}{3} \times \frac{3}{1} = \frac{3r}{3} [/tex]
Cross-cancel common factor :3
[tex] =\frac{r}{1} \\ = r[/tex]
Which statements about segmented and side-by-side bar graphs are true? Choose two correct answers. Segmented and side-by-side bar graphs summarize the data distribution for a single categorical variable. Segmented and side-by-side bar graphs summarize the data distribution for two or more categorical variables. Segmented and side-by-side bar graphs can summarize conditional relative frequencies. Segmented and side-by-side bar graphs summarize the data distribution for associated categorical variables only. Segmented and side-by-side bar graphs never show an association between categorical variables.
Answer: Segmented and side-by-side bar graphs summarize the data distribution for two or more categorical variables.
Segmented and side-by-side bar graphs can summarize conditional relative frequencies.
Answer:
ANSWERS ARE B & C
B. Segmented and side-by-side bar graphs summarize the data distribution for two or more categorical variables
C. Segmented and side-by-side bar graphs can summarize conditional relative frequencies.
Step-by-step explanation:
-3x + 5 = 2x + 10 what is the answer
Answer:
x = -1
Step-by-step explanation:
Step 1: Write out equation
-3x + 5 = 2x + 10
Step 2: Add 3x on both sides
5 = 5x + 10
Step 3: Subtract 10 on both sides
-5 = 5x
Step 4: Divide both sides by 5
-1 = x
Step 6: Rewrite
x = -1
Answer:
x = -1
Step-by-step explanation:
you want to move all the numbers with an x to one side and the ones without to the other so you get.
-5x=5
then you divide by 5 on both sides and get x = -1
7% of a batch of chocolates were mis-shapes.If there were 2200 chocolates made, how many were mis-shapes?
Answer:
154
Step-by-step explanation:
To find the percentage, we can set up a percentage proportion, where x is 7% of 2200.
[tex]\frac{x}{2200} = \frac{7}{100}[/tex].
Now we can cross multiply to find the value of x.
[tex]2200\cdot7=15400\\\\15400\div100=154[/tex]
Hope this helped!
An object is moving at a speed of 850 miles per hour. Express this speed in meters per minute. Round your answer to the nearest whole number.
Answer:it would be 1385
Step-by-step explanation:because 850 miles per hour converted into meter per min would be 22799.04 meters per sec and then u would Find the number in the whole number place
4
and look one place to the right for the rounding digit on the right side of the decimal point
7
.Round up if this number is greater than or equal to
5
and round down if it is less than
5
1385
The speed in meters per minute is 22799.
Given that,
An object is moving at a speed of 850 miles per hour.Based on the above information, the calculation is as follows:
We know that
1 miles per hour = 26.822 meters per minute
So for 850 it should be 22799.
Learn more: https://brainly.com/question/17429689?referrer=searchResults