The correct option is D f⁻¹(x) = 2 + √(x + 2).
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The inverse function of a function f in mathematics is a function that reverses the operation of f.
The given function is f(x) = 1 / (2 + √(x + 2)). The inverse function of the given function is,
f⁻¹(x) = 2 + √( x + 2).
Therefore, the correct option is D f⁻¹(x) = 2 + √( x + 2 ).
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-54/87 simplified to a fraction
Answer:
-18/29
Step-by-step explanation:
54 ÷ 3 = 18 - numerator
84 ÷ 3 = 29 - denominator
-54/84 = -18/29
Can someone help me with this
Answer:
4/5, 3/4, 5/7, 2/7, 1/7
Step-by-step explanation:
Answer:
I am here to help you like a hero
Step-by-step explanation:
so the order is 4/5,3/4,5/7,2/7,1/7
Hi I am so stuck on this question pls help
Answer:
4500 cm²
Step-by-step explanation:
10 mm = 1 cm
So 450 × 10
= 4500 cm²
PLEASE PLEASE PLEASE HELP
10- 9
11- 5
12- 1
13- 10
14- 3
15- 7
16- 3
17- 3
18- 6
what is 27506 to the nearest 1000
plssssssssssssssssssssssssssssssssssssssssssssss
Answer:
34 hours
Step-by-step explanation:
Lets call M the number of hours that Maddie volunteered. Ryan volunteered 1 + 3×M hours, and altogether they volunteered 45 hours, so:
1 + 3×M + M = 45
1 + 4M = 45 Subtract 1 in both sides
4M = 44 Divide both sides by 4
M = 11 hours
So Maddie volunteered 11 hours, and Ryan volunteered
1 + 3×11 = 34 hours
Find the domain of f(x) = 3x for the range {-7, -1, 3, 11}.
=
Answer: i dont know
Step-by-step explanation:
the equation tan (x+pi/6) is equal to
Answer:
(√3 tan x + 1) / (√3 - tan x)
Step-by-step explanation:
[tex]tan (x+\frac{\pi }{6})\\= \frac{tan x+\frac{1}{\sqrt{3} } }{1-\frac{tan x}{\sqrt{3} } } \\= \frac{\sqrt{3} tan x + 1}{\sqrt{3} -tan x}[/tex]
13 For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a
coordinating response. Be sure to clearly label each part of your response as Part A Part B, and Part C.
Part A: Jamal has $35 to spend at the mall. If pairs of shorts are $9.99, how many can he buy?
Part B: Round your answer to an appropriate number.
Part : In a short paragraph, explain in your own words your work for Steps A and B.
Answer:
35 / 9.99 = can buy 4 rounded
paragraph: To find how many pairs of shorts we can buy, we must divide our total money with the cost. We are diving because we need to find how many times 35 can go into 9.99 to find our number. 35 / 9.99 = 3.5035035035035. Our answer must be rounded now because shorts are in whole numbers and can't be in decimals. Take the tenth place of the decimal and round it to the nearest number. 5 is closer to 10 than 0 so we just round it to 4 and there is our answer.
there are 4, 6, and 7 points on three lines. How many triangles is it possible to create with given points as vertices?
4 triangles can be created with 3 points on a line.
20 triangles can be created with 6 points on a line.
30 triangles can be created with 7 points on a line.
Combination has to do with selection.
Note that a triangle has 3 vertices. If there are 4 points on a line, the number of triangles it is possible to create is derived using the combination formula shown as:
[tex]nC_r=\frac{n!}{(n-r)!r!}[/tex]
[tex]4C_3 = \frac{4!}{(4-3)!3!}\\4C_3 =\frac{4\times3!}{3!}\\4C_3=4triangles[/tex]
This means that 4 triangles can be created with 3 points on a line.
For a line with 6 points:
[tex]6C_3 = \frac{6\times 5\times 4\times 3!}{(6-3)!3!}\\6C_3 =\frac{6\times5\times 4\times3!}{3!3!}\\4C_3=20triangles[/tex]
This shows that 20 triangles can be created with 6 points on a line.
For a line with 7 points:
[tex]7C_3 = \frac{7\times 6\times 5\times 4!}{(7-3)!3!}\\4C_3 =\frac{7\times6\times 5\times4!}{4!3!}\\4C_3=30triangles[/tex]
This shows that 30 triangles can be created with 7 points on a line.
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4x(3x - 1) - 2(3x + 1) - (x + 3)
Answer:
[tex]12x^{2} -11x-5[/tex]
Step-by-step explanation:
1) Distribute
[tex]4x(3x-1)-2(3x+1)-(x+3)\\12x^{2} -4x-2(3x+1)-(x+3)[/tex]
2) Distribute
[tex]12x^{2} -4x-2(3x+1)-(x+3)\\12x^{2} -4x-6x-2-(x+3)[/tex]
3) Distribute
[tex]12x^{2} -4x-6x-2(x+3)\\12x^{2} -4x-6x-2-x-3[/tex]
4) Subtract the numbers
[tex]12x^{2} -4x-6x-2-x-3\\12x^{2} -4x-6x-5-x[/tex]
5) Combine like terms
[tex]12x^{2} -4x-6x-5-x\\12x^{2} -11x-5[/tex]
A gold coin has a mass of 45.6 grams and a volume of 2.28 cubic centimeters. Calculate its density. Write your answer to the tenths place.
Answer:
Density (ρ) = 20000 kilogram/cubic meter
Step-by-step explanation:
The types Flowers on the table make up an arrangement. What percent of the flowers in the arrangement her roses
Answer:
60%
Step-by-step explanation:
You could make a fraction to help solve for the answer. The denominator is 25 because you add 4 + 15 + 6. The numerator is 15, because it is the number of roses. 15/25 as a percent is 60% because you just times both the numerator and denominator by 4.
Your classmate says the triangles below are not congruent by SSS. She explains that congruent sides do not correspond explain the error in her reasoning.
Congruent triangles are triangles with equal corresponding sides.
The triangles are congruent
From the question (see attachment), we have the following observations.
Two corresponding sides are marked with ITwo corresponding sides are marked with IITwo corresponding sides are marked with IIIThe above highlights mean that:
The corresponding sides are congruent by SSS theorem
Hence, your classmate's claim is incorrect.
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Find the perimeter of the regular polygon 7x+4 5(x + 2) - 1
Answer:
x= 3/7 i.d.k if this is correct I did it in my brain
Can someone please PLEASE tell me the answer to this
Answer:
69
Step-by-step explanation:
What is absolute of -0.9
Answer:
0.9
Step-by-step explanation:
absolute is the positive number
Answer:
0.9
Step-by-step explanation:
The absolute value is the distance of a number from zero, and 0.9 is 0.9 steps away from zero.
Estimate each square root to the nearest hundredth of 32. Show your solution!
Answer:
[tex]{ \rm{ \sqrt{32} = \sqrt{2 \times 16} }} \\ \\ = { \rm{ \sqrt{2 \times 4 \times 4} }} \\ \\ = { \rm{ \sqrt{2} \times( \sqrt{4}) {}^{2} }} \\ \\ = { \rm{ \sqrt{2} \times 4 }} \\ \\ = { \rm{4 \sqrt{2} }} \\ \\ { \rm{ \sqrt{32} = 5.656854....}} \\ \\ { \boxed{ \rm{ \sqrt{32} = 5.66 \: }}}[/tex]
9514 1404 393
Answer:
5.66
Step-by-step explanation:
For an integer x = s² +r, where s and r are also integers, a first approximation of the square root of x will be ...
y = √x ≈ s +r/(2s+1)
An iterative improvement on the estimate can be had by ...
y' = s + r/(s +y)
Here, this means a first estimate can be obtained as ...
32 = 5² +7 ⇒ s = 5, r = 7
√32 ≈ y1 = s +r/(2s +1) = 5 7/11
Then an iterative improvement will be ...
y2 = s +r/(s +y1) = 5 +7/(10 7/11) = 5 77/117 ≈ 5.658 ≈ 5.66
_____
Additional comment
The above iterator will add about 1 decimal place for each iteration. The Babylonian method will roughly double the number of good decimal places with each iteration. For an approximate root of p/q, the next iteration using that method would be ...
p'/q' = (x·q² +p²)/(2pq)
Then our above estimate of 5 7/11 for the root of 32 would be refined to ...
p'/q' = (32·11² +62²)/(2·11·62) = 7716/1364 = 5 224/341 ≈ 5.65689.... This compares favorably to the first digits of the actual root: 5.65685....
answer question 7, please with steps
Answer:
Angles FVE, FVD, and EVD have V as a vertex
Step-by-step explanation:
If V is the vertex of an angle, it's the point of that angle. So, it wants every angle you can make where V is the point of it.
Answer:
All angles in question 7 have v as a vertex
Step-by-step explanation:
Vertex just means corner, so if v is the corner in the Angle then it has v as a vertex
Calculate the value of x and state the geometric relationship
{[(3x+8)+6(2.5x-3)]}
Answer: The answer is 18x + 26
Step-by-step explanation:
What I did was simplify the Expression of (3x+8)+6(2.5x-3) then combine the terms and last evaluate the Expression.
Hello, I need help with this problem.
Answer:
1/5
Step-by-step explanation:
[tex]\lim_{x->4} \frac{x-4}{x^{2}-3x-4 } \\= \lim_{x->4} \frac{x-4}{(x+1)*(x-4) } \\\\= \lim_{x->4} \frac{1}{(x+1) } \\\\\\[/tex]
lim x->4 plug in x=4
1/(x+1) = 1/(4+1) = 1/5
If you spin a quarter in space what type of 3D figure would you
create?
cylinder
half of a sphere
sphere
cone
Which equation in standard form has a graph that passes through the point (-2, 6) and has a slope of !.A. 3x — 2y = 12 B. 3x — 2y = 6 C. 3x — 2y = -18 D. 3x — 2y = 18
Answer:
Your answer should be C
Step-by-step explanation:
Answer:
3x - 2y = -18
Step-by-step explanation:
3x - 2y = -18 and (-2, 6)
(3)(-2) - (2)(6) = -6 - 12 = -18
the function is expressed by the formula f(x)=x^3 - 1. Find the value of the function if the independent variable is equal to -1
Please answer quick
The value of the function if the independent variable is equal to -1 is -2
Given the function p(x) = x^3 - 1
The input variable "x" is the independent variable. If the independent variable is equal to -1, the value of the function will be expressed as:
P(-1) = (-1)^3 - 1
P(-2) = -1 -1
P(-2) = -2
Hence the value of the function if the independent variable is equal to -1 is -2
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PLEASE HELP ASAP I WILL GIVE U A LOT OF POINTS AND BRAINLIEST :D
Multiply to get the answer:
4×10⁷ * 3.65×10² = (4*3.65)×10⁷⁺² = 14.6×10⁹ = 1.46×10¹⁰ krill#2Convert to scientific notation and find the ratio of the second number by the first:
26000000000 = 2.6×10¹⁰Divide:
4.94×10¹³ ÷ 2.6×10¹⁰ = (4.94/2.6)×10¹³⁻¹⁰ = 1.9×10³ = 1900 timesIs side lengths 48, 55, and 73 a right triangle
Find the vaule of x. then classify each triangle as acute, right, or obtuse
Answer:
1) = 90=acute angle 2)103=acute angle
Step-by-step explanation:
Answer:
1.) x = 90 (Right angle)
2.) x = 103 (Obtuse angle)
Step-by-step explanation:
All triangles' angles have a sum of 180°.<90° = Acute, 90° = Right, >90° = Obtuse[tex]1.)\\x+48+42=180\\x+90=180\\x=90\\\\2.)\\x+45+32=180\\x+77=180\\x=103[/tex]
If f(x) = 2x^2 - 3 and g(x) = x + 1, find g(f(x)).
Group of answer choices
2x^2 - 2
2(x+1)^2 - 3
2x^2 + 2
2x^3 + 2x^2 - 3x - 3
Answer:
g(
x
2
−
3
)
=
2
x
2
−
7
Step-by-step explanation:
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A golf ball was hit with an initial velocity of 12 meters per second off the ground. The height of the ball after x seconds is modeled by the equation h(x)=-4.8x(x-2.5)
The ball hits the ground at 0 seconds or 2.5 seconds.
h represents the height of the golf ball after x seconds. The height is given by:
h(x)=-4.8x(x-2.5)
h(x) = -4.8x² + 12x
The time taken for the ball to reach the ground is at h(x) = 0, hence:
0 = -4.8x² + 12x
4.8x² - 12x = 0
x(4.8x - 12) = 0
hence x = 0; or 4.8x - 12 = 0
x = 0; or x = 2.5
Therefore the ball hits the ground at 0 seconds or 2.5 seconds.
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