Answer:f⁻ (x) = 7 - 21 x.
We can also write it as:
y = 1/3 - 1/21 x
1 / 21 x = 1 / 3 - y
x = 7 - 21
To find the inverse of the function f(x) = 1/3 - 1/21x, interchange x and y in the equation, solve for y, and denote it as the inverse function, resulting in [tex]f^-1(x) = 7 - 21x[/tex].
The student is asking to find the inverse of the function f(x) = 1/3 - 1/21x. To find the inverse function, we need to first rewrite the function in the form y = 1/3 - 1/21x. Next, we switch x and y to get x = 1/3 - 1/21y. Then, solve for y, giving us the inverse. The steps are:
Replace f(x) with y: y = 1/3 - 1/21xInterchange x and y: x = 1/3 - 1/21yMultiply both sides by 21 to clear the fraction: 21x = 7 - yAdd y to both sides and subtract 7 from both sides: y + 21x = 7Isolate y: y = 7 - 21xFinally, replace y with f-1(x) to denote the inverse function:f-1(x) = 7 - 21x
4. There are 25,920 beds in all the hospitals in the region. This year, the construction of 13
hospitals will be finished and each hospital will provide 268 beds. At the end of 2018, there
will be about _______ beds available.
a. 29,400 b. 31,500 c. 36,200
Answer:
At the end of 2018 there will be about 29,400 beds Available.
Thank You ☺️ ☺️.
☆ ★ Make It Brainlist Answer...Answer:
Option a: 29400
Step-by-step explanation:
13 Hospitals with 268 beds each means a bed total of
13*268 = 3484 beds
With the region having 25920 beds formerly, new bed total will be
25920+3484 = 29404
≈ 29400 to the nearest hundredth
Stephen got a new job through an employment agency. The job pays $41,236 per year. The agency fee is 15% of the first 5 weeks pay.
How much will Stephen pay to the agency?
Answer:
$594.75
Step-by-step explanation:
Given
yearly salary of Stephen= $41,236
No of weeks in a year = 52
Therefore, one week salary of Stephen = $41,236/52 = $793
to get one week salary divide total salary by number of weeks
5 weeks salary of Stephen = 5*793 = $ 3,965
agency fees = 15% of Stephen's 5 week salary
(15/100)*($ 3,965) = $594.75
Therefore, Stephen has to pay $594.75 to the agency.
how do you solve 5y+1=10y^2
[tex]5y+1=10y^2\\10y^2-5y-1=0\\D=(-5)^2-4*10*(-1)=25+40=65=\sqrt{65}^2 \\y_1=\frac{5+\sqrt{65} }{20} \\y_2=\frac{5-\sqrt{65} }{20}[/tex]
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
P.S. Hello from Russia :^)
Kent walked to the bus stop, then sat and waited until the bus arrived. He rode the bus for 25 minutes, then walked the last 3 blocks to work.
Which graph best represents the scenario?
Answer:
the 4th graph
Step-by-step explanation:
it illustrates correctly
Answer:
The last graph.
Step-by-step explanation:
the one that goes a little bit up, then its flat( thats when they waited for the bus), and then rode the bus for 25 minutes, then goes up. 50-25=25.
It goes from 0 to 10. Then 10 to 20. Then 25 up to 50.
enter a negative number that is greater than -8
Answer:
-7
Step-by-step explanation:
To find the square root of 12, what is most likely to be an ancient Babylonian’s first guess?
please help. I don't understand it. Please and thank you to whoever answers :')
Answer:2 root 3
Or 3.464101615
Step-by-step explanation:
Answer:
b. 3
Step-by-step explanation:
I need your help and fast
Answer:
copy
Step-by-step explanation:
just copy and paste your answers to google
The sum of two numbers is 38. The smaller number is eight less than the larger number. What are the numbers?
Answer: 15 + 23 =38
So n + n + 8 = 38
which means n + n = 30
and since the n's are the same, you just cut the 30 in 2 equal pieces. 15 and 15.
So n = 15, n + 8 = 23
15 + 23 = 38 :)
6/10 + 20/100 = 8/10
6/10 can be simplified but we don't need to worry about it right now. We only need to worry about simplifying 20/100:
20/100 → 10/50 → 5/25 → 1/5
Find common denominators
1/5 → 2/10
6/10
Now, add.
6/10 + 2/10 = 8/10
Therefore, the equation is true.
Best of Luck!
Answer:
6/10+20/100 does not equal 8/10
Step-by-step explanation:
Need answer has soon has possible
To solve this, all we need to do is find the square root of the numerator and denominator in the fraction
When you see a giant root symbol, picture it like this ....
[tex]\frac{\sqrt{25} }{\sqrt{64} }[/tex]
So, let's solve!
√25 = 5
and
√64 = 8
Now, we have ...
[tex]\frac{5}{8}[/tex] as our final answer :)
I hope I helped :) Just comment if you have any questions and remember to vote me "brainliest" if you like my answer !!!
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
Given that the measure of ∠x is 120°, and the measure of ∠y is 60°, find the measure of ∠z.
Answer:
60 degrees
Step-by-step explanation:
angle y is vertically opposite to angle a, (we can call it.)
angle x is supplementary to the other angle inside the triangle, which we can call angle b.
so, angle a is 60 degrees, as vertically opposite angles are equal
angle b is 60 degrees as supplementary angles = 180
based of the sum of angles in a triangle is 180 theorem;
60+60+unknown= 180
so unknown is 60 degrees
what is the square root of r^64?
a. r^4
b. r^8
c. r^16
d. r^32
Please answer ASAP
A guitar shop is offering two deals on their guitars. Each guitar is $50 less than its initial sale price. In addition, customers receive a further discount of $3 off each $5 of the sale price. Write a function that represents the final price of a guitar f(x) with an initial price of x. If a guitars initial price was $200, what would it be with the discount?
Answer:
30 dollar discount
Step-by-step explanation:
Using the discount parameters given, the final sale price function of the guitar would be f(x) = x - 0.6x - 30 and the discount on initial price of $200 would be $90
Let initial price = x
First discount :
$50 off :
f(x) = x - 50Second discount :
$3 off each $5 of sale price
3/5 of sale price = 0.6 × (x - 50)Final discount :
0.6( x - 50) = 0.6x - 30The Final sale price :
f(x) = x - 0.6x - 30
Given an initial price, x = 200
Discount on price :
Final discount = 0.6x - 30
Discount on price of x = 200 :
0.6(200) - 30
120 - 30 = $90
Therefore, the discount on the price is $90
Learn more : https://brainly.com/question/14750995
What is the volume of the figure below, in cubic centimeters?
756
936
1008
1080
Answer:
B 396
Step-by-step explanation:
What integers are plotted on the number line below?
Hey there!
We can see on this number line that each tick mark represents one because every five marks, there is a difference of five.
Two marks to the left of 0 will be 0 minus 2, so -2.
Three marks to the left of -5 will be -5 minus 3, so -8.
Your answer is -8 and -2.
Hope this helps!
Final answer:
The integers that are being referred to are -8 and -2, which are negative whole numbers located on the left side of zero on a number line.
Explanation:
When plotted on the number line, integers represent whole numbers that can be positive, negative, or zero.
To identify the integers that are plotted, one would look for distinct marks or points on the number line that correspond to whole numbers.
Based on the data, we come to the conclusion that the numbers in question are -8 and -2.
The integers plotted on the number line are -8 and -2. The integer -8 is to the left of -2 on the number line.
These two numbers are examples of negative integers, which are located to the left of zero on a standard number line. The understanding of how to read a number line and identify the placement of integers is a key concept in mathematics, which allows for better comprehension of more complex mathematical ideas such as rational numbers, real numbers, and complex numbers.
y = 4x + 11
y = -2x - 1
Answer:
x = -2, y= 3
Step-by-step explanation:
y = 4x + 11
y = -2x - 1
Because both equations are equal to y, we can set them equal to each other
4x + 11 = -2x - 1
Add 2x to each side
4x+2x +11 = -2x+2x -1
6x +11 = -1
Subtract 11 from each side
6x+11-11=-1-11
6x = -12
Divide each side by 6
6x/6 = -12/6
x = -2
Now we need to find y
y = -2x-1
y = -2(-2)-1
=4-1
=3
What is the distance between the points (4,-2) and (-1,10)?
A. 5 units
B. 6 units
C. 12 units
D. 13 units
Answer:
D. 13 units
Step-by-step explanation:
The distance between the points (4,-2) and (-1,10) is 13 units.
Explanation:To find the distance between two points, we can use the distance formula. The distance formula is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the first point are (4, -2) and the coordinates of the second point are (-1, 10). Plugging these values into the distance formula, we get:
d = sqrt((-1 - 4)^2 + (10 - (-2))^2) = sqrt((-5)^2 + (12)^2) = sqrt(25 + 144) = sqrt(169) = 13 units
Therefore, the distance between the points (4, -2) and (-1, 10) is 13 units.
Learn more about Distance between two points here:https://brainly.com/question/34212393
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Find the measure of angle 1 when X= 96 and y=132
Help!?
Answer:
96 degrees
Step-by-step explanation:
A center angles degree measurement is the same as the ark it is on
The Wildcats and the Leopards are evenly matched football teams. When they play, there is a 0.5 probability that the Wildcats will win. If they play 9 times, what is the probability that the Wildcats will win 6 of the games? Round your answer to the nearest tenth of a percent.
Answer: its 7
Step-by-step explanation:
Look at this set of 10 numbers:
1 7 3 9 9 9 5 9 4 5
By how much would the median decrease if the number 6 were added to the set?
What is 9z when z = 2
Answer:
18
Step-by-step explanation:
9 times 2 equals 18
Answer:
18
Step-by-step explanation:
9z, z=2
9x2=18
MARKING AS BRAINLIST HELP ASAP
Answer:
42
Step-by-step explanation:
Because the circle is tangent to all sides, that makes the perimeter of the triangle equivalent to the sum of the numbers given, multiplied by 2.
(6+10+5)(2) = 42 inches
Suponiendo que la altura (en centímetros) de una vela es una función lineal del tiempo (en horas) que permanece encendida. Tras estar encendida 9 horas, una vela mide 18.3 centímetros de alto. Tras estar encendida 26 horas, mide 13.2 centímetros de alto. ¿Cuál es la altura de la vela tras estar encendida 19 horas?
Answer:
je ne sais pas le comprendre
Step-by-step explanation:
A circle is divided into 4 slices. The slices are arranged into the shape
shown. What a hapo would you get closer to if you kept cutting the circle
into more and more alices?
Hexagon
Rectangle
Pentagon
Triangle
, SOMEONE PLZ HELPPPPP
On cutting the circle into more and more slices, its shape will get closer to a rectangle.
What is a circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
Given that, a circle is divided into 4 slices. The slices are arranged into the shape.
So, when we will cut the circle into similar manner, the shape we will get closer to will be a rectangle,
When we will calculate the perimeter and the area of the obtained rectangle, it will be equal to the circle.
Hence, on cutting the circle into more and more slices, its shape will get closer to a rectangle.
Learn more about circles, click;
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Final answer:
When a circle is divided into more and more slices and these slices are rearranged, they approximate a circle more closely. While a hexagon may seem like a closer shape due to the angles of its vertices, the ultimate shape remains a circle.
Explanation:
If a student rearranges the slices from a circle cut into more slices, they would get a shape that approximates a circle more closely as the number of slices increases. As each slice becomes thinner, the perimeter of the rearranged shape starts resembling a smooth curve, which is the characteristic of a circle.
Looking at the angles provided, a triangle has 60° angles, a square has 90° angles, a pentagon has 108° angles, and a hexagon has 120° angles. The figures suggest that a hexagon would be a more favorable shape when arranging slices because the angles of a hexagon (120°) are closer to the 360° of a full circle when divided by an increasing number of slices. However, when arranging the slices, the ultimate shape one gets closer to is the circle itself, irrespective of the polygonal shape intermediate stages may suggest.
“Find the missing variable for this proportion.”
The Hernandez family is evenly splitting
7
liters of gasoline between their
4 cars.
How many liters of gasoline should each car get?
Answer:
1.75 liters
Step-by-step explanation:
7/4 = 1¾ or 1.75 liters
Rhonda tutors students after school. She charges $25 per hour to tutor math students and $30 per hour to tutor science students.
She tutored math students for 3 hours on Thursday and science students for 5 hours on Monday.
Which of the following expressions can be used to find the total amount of money that Rhonda earned?
A. (50 + 30) × (5 + 3)
B. (3 + 25) × (5 + 30)
C. (5 × 25) + (3 × 30)
D. (3 × 25) + (5 × 30)
Answer:D
Step-by-step explanation:
Answer:
[3x25]+[5x30]
Step-by-step explanation:
what is 3/5 to the 0 power
Answer:
1
Step-by-step explanation:
(3/5) ^0
Anything raised to the zero power is 1
(except 0) but we will leave that for an advanced math discussion
Answer:
3
Step-by-step explanation:
URGENT!!!
Which is equal to sin of angle e?
a) cos of angle D
b) cos of angle F
c) sin of angle D
d) sin of angle F
Answer:
B) cos f
Step-by-step explanation:
sin e = DF/EF
cos d = (which side is adjacent i don't even know)/EF
cos f = DF/EF
sin d = opposite (hypotenuse)/hypotenuse, doesn't make sense
sin f = DE/EF
life lesson in trig: don't try to do right triangle trig using the right angle, it won't work out
Determine whether the two quantities is proportional
Answer:
No, is not proportional because it does not go through the origin
Step-by-step explanation:
In order to find whether this is proportional or not you gotta divide y from x
and if the result is the same it means the relationship it is proportional.
30/2=15
40/4=10
50/6=8.333
The relationship is not proportional