Answers
Answer: Choice C
[tex]y = x^2+2, \ x \ge 0[/tex]
=============================================
Work Shown:
[tex]f(x) = \sqrt{x-2}\\\\y = \sqrt{x-2}\\\\x = \sqrt{y-2} \ \text{ swap x and y}\\\\x^2 = y-2 \ \text{ square both sides}\\\\y = x^2+2\\\\f^{-1}(x) = x^2+2\\\\[/tex]
Since the range of f(x) is [tex]y \ge 0[/tex] this means the domain of the inverse will be [tex]x \ge 0[/tex]
The domain and range swap when you go from the original function to the inverse, or vice versa (due to x and y swapping)
So we must state the inverse is [tex]y = x^2+2 , \ x \ge 0[/tex]
Related Questions
Find the volume of a cylinder with a radius of 4 in and a height that is 3 times the radius
Answers
Answer:
Volume of a cylinder: V = π * r² * h ,
Base surface area of a cylinder: A_b = 2 * π * r² ,
Lateral surface area of a cylinder: A_l = 2 * π * r * h ,
Total surface area of a cylinder: A = A_b + A_l ,
Step-by-step explanation:
So, when the radius is tripled, the volume will be 3 squared = 9 times than the previous one.
Answer:
602.88 in^3
Step-by-step explanation:
3.14 * 4^2 * 12
3.14 * 16 * 12
50.24 * 12
(50 * 12) + (0.24 * 12)
600 + 2.88
602.88 in^3
PLEASE HELP!!!
In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint
of BC. If m
of ZCAD?
Answers
Answer:
The measure of ∠CAD is 69°
Step-by-step explanation:
In ΔABC
∵ D is the mid-point of AB
∵ E is the mid-point of BC
∴ DE is parallel to AC
→ From parallelism
∵ DE // AC
∴ m∠EDB = m∠CAD → corresponding angles
∵ m∠EDB = 83 - 7x
∵ m∠CAD = 7x + 55
→ Equate them
∴ 7x + 55 = 83 - 7x
→ Add 7x to both sides
∵ 7x + 7x + 55 = 83 - 7x + 7x
∴ 14x + 55 = 83
→ Subtract 55 from both sides
∵ 14x + 55 - 55 = 83 - 55
∴ 14x = 28
→ Divide both sides by 14
∴ x = 2
→ To find m∠CAD, substitute x by 2 in its measure
∵ m∠CAD = 7(2) + 55
∴ m∠CAD = 14 + 55
∴ m∠CAD = 69°
∴ The measure of ∠CAD is 69°
The volume of a cylinder is 401.92 cubic inches.
If the height of the cylinder is 2 inches, what is
its radius?
Answers
Radius = sqr 401.92/(3.14 * 2)
Radius = sqr 401.92/6.28
Radius = sqr 64
Square root of 64 = 8
Solution: the radius is 8
Last year, half the graduates from Harold's Clown College became circus clowns. Another 60 graduates became rodeo clowns. The rest of the graduates became mimes. Harold's Clown College has 200 graduates last year. What percentage were mimes?Immersive Reader (3 Points) 20% 40% 60% 100%
Answers
Answer:
20 percent
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
since 100% is a 200, half of them were circus clowns 200/2 = 100
so 100 persons are 50%
from these 100, only 60 graduated as rodeo clowns and 40 as memes
1 percent of 200 is 2, so 40/2=20%
A town is storing salt for the winter in a cylindrical building. The building has a radius of 5 ft and is 30 ft tall. The building contains 1,500 ft3 of salt. What is the approximate height that the salt reaches in the building?
The answer are:
A. 0.5 ft
B. 5 ft
C. 19 ft
D. 22 ft
Answers
Answer:
To start off, we know the problem involves something with volume as it is 3D and has a cubic in it.
We know r = 5, h = 30, and v = 1500
The volume for a cylinder in 3d is : V=[tex]\pi[/tex][tex]r^{2}[/tex]h
We're solving for the height when the cylinder has a volume of 1500, therefor, we will solve for height.
Using our volume equation we plug in all values except h because we're solving for it.
1500=[tex]\pi r^{2} h[/tex]
1500=[tex]\pi 5^{2} h[/tex]
1500=25[tex]\pi[/tex](h)
1500/25[tex]\pi[/tex] = h
60/[tex]\pi[/tex] = h
60/[tex]\pi[/tex] = 19.0985
H is 19ft. (C)
For which value of a will the equation 3x – 2 = 3x – a have an infinite number of solutions?
A. 2
B. 3
C. 4
D. 5
Answers
Answer:
A.2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
How many 1/2 s are in 4 ?
Answers
Answer:
8
Step-by-step explanation:
To find this multiply 4/1 by 2/1.
4/1 x 2/1 = 8/1 = 8.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
8
Step-by-step explanation:
simply 1/2+1/2+1/2+1/2+1/2+1/2+1/2+1/2
Find the midpoint of (2,-9) and (-4,-4)
Answers
Simplify 6a^2b^-2/8a^-3b^3
Assume a≠0 b≠0
Answers
Answer:
3/4
Step-by-step explanation:
reducing 6/8 would be 3/4, and if a and b = 0, then anything multiplied by 0 would be nothing so there wouldn't be and variables
Answer:
the answer is C
Step-by-step explanation:
edge
Can someone help me plz I will mark brainliest
Answers
Heather bought a pair of shoes for$75. She paid an 8.4% sales tax. What is the amount of sales tax she paid?
Answers
Answer: 6.3
Step-by-step explanation:
Solve by completing the square: x^2+3x-9=0
Answers
Step-by-step explanation:
x=-4.854 or x=1.854
hope this helps
Answer:
C edge 2020
Step-by-step explanation:
i got it right on the practice.
A car dealer is calculating the list price for a used car. The dealer takes the initial price of the car and adds $259 dollars for cleaning and shipping the car to the dealer. The dealer then increases that price by 25% for the dealer’s profit. That price is then increased again by 10% for the salesperson’s commission. If a used car is initially priced $10,000, what will be the list price for this car?
Answers
Add the 259 to the initial price:
10,000 + 259 = 10,259
Increase that price by 25%, so multiply by 1.25:
10259 x 1.25 = 12,823.75
The price is then increased by another 10%, multiply by 1.10:
12,823.75 x 1.10 = 14,106.13
List price = $14,106.13
If you made 3 lawns and made 25.50 how much per lawn
Answers
Answer:
76.5
Step-by-step explanation:
25.50 x 3 = 76.5
Answer:
$8.50
Step-by-step explanation:
put 25.50/3 and you get 8.50
The sum of two integers is 31. The larger of the two integers is 4 more than 2 times the smaller integer. What are the integers? 9 and 22 -22 and 53 allo -9 and 40 14 and 17
Answers
Answer:
x = 22 y = 9
Step-by-step explanation:
Let me know if you need an explanation! Hope this helped :)
Norma made 16 braided bracelets. She split them evenly among g gift boxes. Write an expression that shows how many bracelets were in each box.
Answers
Answer:
16/g
Step-by-step explanation:
Answer:
the correct answer is 16÷g
Step-by-step explanation:
why 16÷g because the explanation said 16 braided bracelets. and the gift boxes was g so i think its 16÷g
4x + 2(2x – 5) – (3 – 5x).
Answers
Answer:
=13x−13
Step-by-step explanation:
Two rectangles are similar. The ratio of the length of rectangle A to the length of rectangle B is 1:4. If the length of rectangle B is 14 meters, what is the length of rectangle A?
Answers
Answer:
Hey have you tried on your own to make sure you understand it?
Step-by-step explanation:
State the x-intercept and the y-intercept of the line.
a.-10;5
b.-9;5
c.-10;4
d.-11;6
Answers
Because the line intersects the x axis at -10 and intersects the y axis at 4.
Hope this helps :D
helpppppppppppppppppppppppppp
Answers
The answer is: 8m=152
Lian's work is shown below. Steps Lian's Work Step 1 s + 40 = 68 Step 2 s + 40 minus 40 = 68 minus 40 Step 3 s = 28 In which step, if any, did Lian first make a mistake in her work? step 1 step 2 step 3 no mistake
Answers
Answer:
No mistakeStep-by-step explanation:
Given the equation solved by Lian expressed as;
s + 40 = 68
Lian is to find the value of s from the equation, to do that you will follow the steps below;
Step 1: Substract 40 from both sides of the equation;
s + 40 - 40 = 68 - 40
Step 2: Solve for s;
s + 40 - 40 = 68 - 40
s + 0 = 68 - 40
s = 28
Based on the calculation, we can say that Lian made no mistake when solving
Answer:
D, no mistake.
Step-by-step explanation:
Write the Slope-Intercept and Point-Slope forms of the line passing through the point (-3, 2) and having a slope of -4/5
Answers
Answer:
slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]
Step-by-step explanation:
The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.
The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.
Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:
y - y1 = m(x - x1)
y - 2 = (-4/5) * (x + 3)
[tex]y-2=\frac{-4}{5} (x+3)[/tex]
Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:
y = mx + b
y = (-4/5)x + b
Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:
y = (-4/5)x + b
2 = (-4/5) * (-3) + b
2 = 12/5 + b
b = -2/5
So, the y-intercept is -2/5. Then the slope-intercept form is:
[tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
Thus, our two equations are:
slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]
What is the y intercept
Answers
Help pls and thank you!!
Answers
Answer:
it's 8x
hope i could help :)
What is the slope of the line that passes through the points (6, 7) and (4, 1)?
Answers
Answer:
m = 3
Step-by-step explanation:
[tex]m=\frac{1-7}{4-6}=\frac{-6}{-2}=\boxed{3}[/tex]
Hope this helps.
Answer:
3
Step-by-step explanation:
y¹-y²
------
x¹-x²
substitute then solve.
7-1 6
------ --> ----
6-4 2
6/2=3 so slope is 3.
Solve for x. 0.2(8x-4)=0.3(10-2x)
Answers
Answer:
x = 1.727
Step-by-step explanation:
0.2(8x-4) = 0.3(10-2x)
1.6x - 0.8 = 3 - 0.6x
2.2x = 3.8
x = 1.727
hope this helps, pls mark brainliest :D
Given the graph below, solve the system of equations.
Answers
Answer:
(4, 3 )
Step-by-step explanation:
Given a system of equations graphically, then the solution is at the point of intersection of the 2 lines.
The lines intersect at (4, 3 ) ← solution
Layton conducts an experiment throughout the school year to determine the most common answer
choice used by teachers at his school. The data he collected is shown in the table.
Which of the following is a valid conclusion based on the data he collected?
A. A student would be equally likely to select answer choice C as they would to select answer
choice A and D
B. A student would be equally likely to select answer choice A and B as they would to select
answer choice C
C. A student would be twice as likely to select answer choice C than answer choice A
D. A student would be less likely to select answer choice B than answer choice A
Answers
Answer:
pick a because the data is better for that chart
y=2,y=-1/2 thats the equation but it told me to write more idk why
Answers
More information is needed.
Which of these is also (always) a rhombus? (Select all that apply.)
A. Quadrilateral
B. Parallelogram
C. Rectangle
D. Square
E. Kite
F. Trapezoid
Answers
Answer:
A square and maybe a kite.
Step-by-step explanation:
Answer:
D. Square
Step-by-step explanation:
Here is a good images that explains what is what:
Read it from bottom to top. It cannot be reversed.