Answers
Answer:
f^-1 = 3(x + 1)
Step-by-step explanation:
f(x) = (3 - x)/x
y = (3 - x)/x
x = (3 - y)/y
xy = 3 - y
xy + y = 3
y(x + 1) = 3
y = 3/(x + 1)
f^-1 = 3(x + 1)
Related Questions
I need help with number 3
Answers
Answer:
a) 8 apples
b) 5 oranges
c) 2 oranges and 6 apples
Step-by-step explanation:
a) 8 apples × 1$ = 8$ < 10$
b) 5 oranges × 2$ = 10$
c) 2 oranges × 2$ = 4$
6 apples × 1$ = 6$ (4+6=10)
Answer:
(4 apples, 4 oranges)(4 apples, 3 oranges)(6 apples, 2 oranges)Step-by-step explanation:
The problem scenario gives rise to two equations. One describes the total number of fruit. It is plotted in blue. The other describes the total cost. It is plotted in red.
a)The total number of fruit will be 8 at any blue dot. (It will not cost $10 if that dot is not also red.) One such total is (4 apples, 4 oranges)
__
b)The total cost will be $10 at any red dot. (The fruit count will not be 8 if that dot is not also blue.) One such cost is (4 apples, 3 oranges)
__
c)The cost for 8 pieces of fruit will be $10 where the blue and red dots are plotted at the same point: (6 apples, 2 oranges)
Suppose a math class starts at the beginning of the school year with 12 boys and 8 girls. However, after school resumed in January, 6 new boys and 4 new girls came to the class. Is the ratio of boys to the total number of students in the class still the same?
Answers
Answer:
yes the ratio is the same
Step-by-step explanation:
12/8 = 3/2 (divided the top and bottom by 4)
6/4 = 3/2 (divided the top and bottom by 2)
yes the ratio is the same
Answer:
To compare, first find out what the ratio of boys to students is at the beginning of the school year: 12/8 or, in the simplest form, 3/2.Once school resumes in January, that ratio becomes 18/12 - (12 + 6)/(8 + 4) - or 3/2 in simplest form.Therefore, the ratio is still the same.
Step-by-step explanation:
∠A and ∠B are complementary. The measure of ∠A is 21°.
What is the measure of ∠B?
Enter your answer in the box.
°
Answers
complementary angles is when the sum of two angles is equal to 90 degrees.
∠A + ∠B = 90°
21° + ∠B = 90°
∠B = 90° - 21°
∠B = 69°
Answer:
∠B = 69°
Step-by-step explanation:
Complementary angles are such pairs of angles that sum up to 90°. In this case, we are given that ∠A and ∠B are a pair of complementary angles. This means that ∠A and ∠B sum up to 90°.
⇒ [tex]\angle A + \angle B = 90\°[/tex]
⇒ [tex]21\° + \angle B = 90\°[/tex] [∠A = 21°]
⇒ [tex]\angle B = 90 - 21[/tex]
⇒ [tex]\angle B = 69\°[/tex]
please help this is the last question
Answers
Answer:
The median is the same for both car types, but Bandit have lower mean.
Step-by-step explanation:
A marker company makes 93,786 blue markers, 11,855 red markers, and 30,774 green markers. How
many more blue markers are made than red and green markers combined?
Answers
Answer:
91931 blue marker are made more than red
63012 blue marker are made more than green
On a game show, contestants shoot a foam ball toward a target. The table includes points along one path the ball can take to hit the target where x is the time that has passed since the ball was launched and y is the height at this time. Time (x) Height (y) 0 10 2 24 16 10 How high was the ball after 8 seconds? 20 feet 42 feet 96 feet 106 feet.
Answers
After 8 seconds the ball height was 42 units.
It is given that on a game show, contestants shoot a foam ball toward a target. The table includes points along one path the ball can take to hit the target where x is the time that has passed since the ball was launched and y is the height at this time.
It is required to find how high was the ball after 8 seconds.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
The orbit of the ball will be a parabola.
We know the standard form of a quadratic function:
[tex]\rm y=ax^2+bx+c[/tex] where [tex]\rm \\a\neq 0[/tex]
At x = 0 and y = 10, we get:
[tex]\rm 10 =a(0)^2+b(0)+c\\\rm 10= c\\\rm c=10[/tex]
At x = 2 and y=24, we get:
[tex]\rm 24= a(2)^2+b(2)+c\\\rm 24=4a+2b+10\\\rm 4a+2b=14[/tex]....(1)
At x = 16 and y = 10, we get:
[tex]\rm 10= a(16)^2+b(16)+c\\\rm 10=256a+16b+10\\\rm 256a+16b=0 \\[/tex]....(2)
By solving equations (1) and (2), we get;
a = - 1/2, b = 8 and c = 10
Putting these values in the standard form of a quadratic function, we get:
[tex]\rm y = - \frac{1}{2} x^2+8x+10\\[/tex]
Now, after 8 seconds means when x = 8, we get:
[tex]\rm y=-\frac{1}{2}\times 8^2 +8\times8+10\\\rm y = -32+64+10\\\rm y= 42[/tex]
Thus, after 8 seconds the ball height was 42 units.
Know more about the parabola here:
https://brainly.com/question/8708520
Answer:
b
Step-by-step explanation:
round off 6406 to the nearest thousand
Answers
Answer:
6000
hope this helps =3
Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone. Write the system of equation the represents the cost of Sarah's rental shop and another equation for David's rental shop.
Answers
Answer:
Manny's Music Rental: y = 40 + 25x
Sid's Saxophones: y = 25 + 30x
Step-by-step explanation:
Let x = number of months
Let y = total cost of renting a saxophone
Manny's Music Rental: y = 40 + 25x
Sid's Saxophones: y = 25 + 30x
Will give brainliest, like 5 stars, comment and 5 points
The table represents the relationship between a length measured in meters and the same length measured in kilometers.
Complete the table.
Answers
Answer:
3,500=3.5
500=0.5
75=0.075
1=0.001
x=x÷1000
The perimeter of a rectangle is 11cm and the length is 3cm more than half the width. Find the dimensions of the rectangle
Answers
Answer:
Above is the solution to the question
What is the y-intercept of 5x+4y=−40 ?
A.(8,−10)
B.(0,−10)
C.(0,8)
D.(−10,0)
Answers
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x + 4y = - 40 ( subtract 5x from both sides )
4y = - 5x - 40 ( divide all terms by 4 )
y = - [tex]\frac{5}{4}[/tex] x - 10 ← in slope- intercept form
with y- intercept c = - 10 ⇒ (0, - 10 ) → B
Step-by-step explanation:
To find the y intercept of the line we must first write the equation in standard form which is
y = mx + c
where
m is the slope
c is the y intercept
So we have
5x + 4y = - 40
4y = -5x - 40
Divide both sides by 4
We have the equation as
[tex]y = - \frac{5}{4} x - 10[/tex]
From the question the y intercept is - 10
We have the final answer as
( 0 , - 10)Hope this helps you
Factor this expression
Answers
Answer:
6(6x^2-4x-3)
Step-by-step explanation:
pull out the gcf which is 6 and it is complete because it is impossible to factor 6x^2-4x-3
Answer:
[tex]6 (6x^{2} - 4x - 3)[/tex]
Step-by-step explanation:
[tex]36x^{2} - 24x - 18[/tex]
[tex]= 6 (6x^{2}) - 6 (4x) - 6(3)[/tex]
[tex]= 6 (6x^{2} - 4x - 3)[/tex]
The area A of a square is given. Find its side length.
Which side lengths are whole numbers?
a) A = 36 cm² b) A = 49 m2 c) A = 95 cm? d) A = 108 m2
Answers
Answer:
a &b
Step-by-step explanation:
como resuelvo (×-8)(×+8
Answers
Answer:
The answer is zero(0) because x is the same and -8 + 8 would equal 0
Step-by-step explanation:
PLEASE HELP
The two angles formed as a result of a bisector will always be____?
A. complementary
B. supplementary
C. Right
D. congruent
Answers
Answer:
D. Congruent
Step-by-step explanation:
Hope this helps!!
HELLLLPPPPPPPPPPPPPP
Tanya performed an experiment in which she randomly pulled a marble from a bag, recorded its color, put it back, and then repeated. The following table represents the number of times each color of marble was pulled.
Color of Marble Frequency
Green 25
Blue 35
Purple 40
If Tanya repeats the experiment 50 more times, how many of those times should she expect to pull a purple marble?
Enter your answer as a number, like this: 42
Answers
Answer:20
Step-by-step explanation: Add all the marbles up = 100 divided by 2 = 50 so then divide the purple marble by 2 =20.
Tanya should expect to pull a purple marble for 8 times.
What is experimental probability?The experimental probability of an event is based on the number of times the event has occurred during the experiment and the total number of times the experiment was conducted.
Given that, Tanya performed an experiment in which she randomly pulled a marble from a bag,
Out of the experiment that Tanya performed, we can get an experimental probability.
This experimental probability is given by the quotient between the frequency for each color, and the total number of trials.
The total number of trials is:
N = 25 + 35 + 40 = 100
And on 40 of these, she got a purple marble, then the experimental probability of getting a purple marble is:
p = 40/100 = 0.4
Now, if she draws 50 marbles more, she should expect to get:
0.4×50 = 8
Hence, Tanya should expect to pull a purple marble for 8 times.
Learn more about experimental probability click;
https://brainly.com/question/30694293
#SPJ2
100 BRAINLY POINTS!!!
The harvest results of a farm are shown in the graph below.
Which equation best models the relationship between the amount of compost used, x, and the harvest yield, y ?
A. y = x
B. y = 200x
C. y = x + 200
D. y = 200x + 200
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
Answers
Note:-
Graph must not be drawn to scale so taken imaginary coordinates most near to accurate
So the cordinates are
(0,200)(200,400)(400,600)(600,800)Mark the change between x and y
400+200=600200+200=4000+200=200So
the relationship is
y=200+xOption C
Answer:
C. [tex]y=x+200[/tex]
Step-by-step explanation:
Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.
All the given options for the line of best fit are linear equations.
Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above as below the line.
Linear equation: [tex]y=mx+b[/tex]
(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)
From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 200. So this suggests that either option C or option D is the solution.
We can also see that slope (gradient) is approximately 1, as for every +100 increase in x, y increases by +100.
[tex]\textsf{slope = rate of change}=\sf\dfrac{change \ in \ y}{change \ in \ x}=\dfrac{100}{100}=1[/tex]
Therefore, this suggests that C is the solution and that the closest approximation to the line of best fit is [tex]y=x+200[/tex]
a company that makes automatic coffee machines must make a model that dispenses 354 mL + .006 mL of coffee per cup. Do all of the cups in the table fall within the specified tolerance?
Answers
Answer:
You didnt show the table, not sure how to answer
Step-by-step explanation:
Caleb has a bag that contains orange chews, cherry chews, and peach chews. He performs an experiment. Caleb randomly removes a chew from the bag, records the result, and returns the chew to the bag. Caleb performs the experiment 20 times. The results are shown below: An orange chew was selected 15 times. A cherry chew was selected 3 times. A peach chew was selected 2 times. Based on these results, express the probability that the next chew Caleb removes from the bag will be cherry chew as a decimal to the nearest hundredth.
Answers
Answer:
0.15
Step-by-step explanation:
3/20= 0.15
15/100= 0.15
billy has a bag of 4 red marbles, 3 blue marbles, and 3 white marbles. Billy picks and keeps a marble and then picks a second marble. What is the probability Billy will draw a white marble and then a red marble?
Answers
Answer:
1/10+1/10=2/10
Step-by-step explanation:
we first need to add all marbles and make a fraction of white and red marble
Mathematicians at the University of Hawaii have tried to approximate the total number of grains of sand on the world's beaches. They calculated 7,500,000,000,000,000,000, or seven quintillion five hundred quadrillion. How is this number expressed in scientific notation?
Answers
1 2 3 4 5 6 7 8 9 10 | 11 12 13 14 15 16 17 18 19 20
Because as you can see the numbers do not change 1 2 3 4 5 6 7 8 9 are just in different places
7.5 × 10¹⁸
In order to transform in standard form / scientific notation.Count the zeros in a number.
the first number should be an absolute value like: a * b^10thus in scientific notation: 7.5 × 10¹⁸
another example:
number: 650,000,000 scientific notation: 6.5 × 10⁸Write
3.12 x 10^8 in
Standard notation.
Answers
Answer:
312,000,000
Step-by-step explanation:
Standard notation is when you move the decimal however many times the 10 is being squared by. In this case, it is 8.
Since the 8 is not negative, we move it 8 times to the right.
Since there are only 2 digits, we add 6 more zeros because 2+6=8
that is how you get 312,000,000
What is the Product of 2.18 and 3.4??
Show your work
and no links
Answers
Solution is the pic
hello people ~
factorise:21x²-43x-14
Answers
Answer:
[tex]\displaystyle [7x + 2][3x - 7][/tex]
Step-by-step explanation:
Find two quantities that when differed to 43, they also multiply to 294. Those will be 6 and 49. The TINIER quantity gets the plus symbol because the B-value is −43, therefore 49 gets the minus symbol, leaving 6 with the plus symbol. In extension, sinse we have a leading coefficient greater than one, we need to take extra procedures. Here is how it is done:
[tex]\displaystyle 21x^2 - 43x - 14 \\ \\ [21x^2 + 6x] - [49x - 14] \\ 3x[7x + 2] - 7[7x + 2] \\ \\ \boxed{[7x + 2][3x - 7]}[/tex]
I am joyous to assist you at any time.
how many burgers can make from 1 billion cows ?
Answers
If the cows weigh 50.0 pounds then 59 burgers per cow
Answer:
1.186836*10^12 burger
Step-by-step explanation:
first, there is not even 1billion cows on earth, according to statista.com, there are 989.03 million billion cows on earth in 2019. according to the genus on the quora, you can make 1200 burger from 1 cow, so 989,030,000*1200
sign, 1.186836e+12.
Evaluate c−d if c=1 and2/5 and d=5/6 . Express your answer in simplest form.
please help me i need to finish it today
Answers
Answer:
[tex]\frac{17}{30}[/tex]
Step-by-step explanation:
→ Substitute in the numbers
[tex]1\frac{2}{5} -\frac{5}{6}[/tex]
→ Simplify
[tex]1\frac{2}{5} -\frac{5}{6}=\frac{7}{5} -\frac{5}{6}=\frac{42}{30} -\frac{25}{30} =\frac{17}{30}[/tex]
A cylinder has a height of 9 meters and a radius of 8 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
1808.64
Step-by-step explanation:
Given parameters:
Height of cylinder = 9 meters
Radius = 8 meters
To Find:
Volume of the cylinder = ?
Solution:
The volume of cylinder is given as;
Volume = π r ² h
9(3.14)8^2=1808.64
[RevyBreeze]
Solution:
Given:
Height of cylinder = 9 metersRadius of cylinder = 8 metersRecall that the volume of the cylinder is πr²h. Now, let's use the formula to find the volume of the cylinder.
[tex]\bullet \rightarrow \pi r^{2} h = \text{Volume of cylinder}[/tex]
[tex]\bullet \rightarrow (\pi)(r^{2})( h) = \text{Volume of cylinder}[/tex]
[tex]\bullet \rightarrow (3.14)(8^{2})( 9) = \text{Volume of cylinder}[/tex]
[tex]\bullet \rightarrow (3.14)(64)( 9) = \text{Volume of cylinder}[/tex]
[tex]\bullet \rightarrow \boxed{1808.64 \ m^{2} = \text{Volume of cylinder}}[/tex]
how do u simplify 24+2x=3x+2(3•4)
Answers
Answer:
distribute the 2 to the 3 and 4 so you get 6+8 which is 14
Step-by-step explanation:
24+2x=3x+14
-14
10+2x=3x
-2x
10=x
Answer:
10=x
Step-by-step explanation:
24+2x=3x+14
-14
10+2x=3x
-2x
10=x
help asap!! just need it checked!
Answers
Answer:
Step-by-step explanation:
correct-
Answer:
It's wrong the first answer is correct
Check my answers!!!!
Answers
Answer:you got all of them right good job
Step-by-step explanation:
Answer:
You did a good job
Step-by-step explanation:
keep it up