Worth 100 Points!
Help, this is after an test. And I still don't understand it. Could someone please help me understand this question related to inverse functions? Thanks!
Answers
You were close, and have the right idea, but I think you did it a bit backwards! You want to "flip" it over the y=x line (picture attached below)
To solve for the inverse, you will find the equation of the original, switch the x and y, then solve for y.
We can (mostly, I think?) tell the equation for f(x) is as follows, so we switch the y and x for the steps following to solve for y:
[f(x)] y = -2x + 2
[switch] x = -2y + 2
[subtract 2 from both sides / flip equation] -2y = x - 2
[divide both sides by -2] y = -2x -4
So our equation for g(x) will be about y = 2x -4
(inverse so the negative is weird)
Photos:
- first is y=x
- second is the general idea of the inverse for what g(x) should look like
- third is kinda what the graph will look like (digitally)
I know this isn't a *perfect* answer, but I hope it explains it some and helps. Good luck! :D
Related Questions
PLS ANSWER!!
32-2(1+3) squared
Answers
Answer:32-2=30 30+1+3=34 . Ans:34
Step-by-step explanation:
Answer:
32-3(4)
24
24 squared is
576
PLS HELP me!!!!!!!!!!!!!!!!!!!!11
Answers
Answer:
The measure of the angle ∠ABC is 108°
Step-by-step explanation:
An isosceles triangle has two equal sides and two equal angles
In this problem
∠BDA=∠BAD= 66° ----> the angles of the base are equals
Find the measure of the vertex angle
∠ABD = 180° - 2×66° = 48° (the sum of the internal angles of a triangle is equal to 180°)
then. Find the measure of the angle ∠CBD in the equilateral triangle we know that
The measure of the internal angle in a equilateral triangle is 60° so
∠CBD= 60°
Then find the measure of the angle ∠ABC
∠ABC=∠ABD+∠DBC
substitute the values
∠ABC= 48°+60° = 108°
The answer is 108°
The measure of the angle ∠ABC is 108°
Answer:
108 degrees
Step-by-step explanation:
Hi there!
1. Determine the measure of angle DBC
2. Determine the measure of angle ABD
3. Add them to determine the measure of angle ABC
We're given that triangle ABD is isosceles and triangle BCD is equilateral.
Because BCD is an equilateral triangle, all of its interior angles at 60 degrees.
Therefore, the measure of angle DBC is 60 degrees.
Triangle ABD is isosceles, so therefore, angle ADB is also 66 degrees.
The sum of the interior angles of a triangle is 180 degrees. Therefore, the measure of angle ABD is 180-66-66, which is 48 degrees.
To find ABC, add 60 and 48:
60+48 = 108
Therefore, angle ABC measures 108 degrees.
I hope this helps!
The coefficient of x in the expansion of (x+3)(x - 1) is
Answers
Answer:
^2+2−3
Step-by-step explanation:
Answer: the coefficient of x in the expansion is 2
Step-by-step explanation:
(x+3)(x-1)= (x)(x) + (x)(-1) + (3)(x) + (3)(-1)
which equals x^2 -x +3x -3 which is x^2 +2x -3
the leading coefficient of x^2 1. and the coefficient of x is 2.
A 3-sided polygon that contains a 90° angle is called:
Question 3 options:
A) Pythagorean theorem
B) hypotenuse
C) right triangle
D) Legs
Answers
Answer:
c right triangle
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A: Method that is used to find either the legs or the hypotenuse of a right triangle.
B: Diagonal line of a right triangle, also used in the Pythagorean Theorem
C: 3-sided shape with a 90-degree angle
D. Lenth and height of a right triangle, used in the Pythagorean Theorem
tan9°. tan27°. tan45°. tan72°. tan81°= 1
could u plz solve it with clear process
Answers
Correct question:-
Prove that tan9.tan17.tan45.tan73.tan81=1
LHS
[tex]\\ \sf\longmapsto tan9.tan17.tan45.tan73.tan81[/tex]
[tex]\\ \sf\longmapsto tan9.tan81.tan17.tan73.tan45[/tex]
[tex]\\ \sf\longmapsto tan(90-81).tan81.tan(90-73).tan73.1[/tex]
[tex]\\ \sf\longmapsto cot81.tan81.cot73.tan73[/tex]
[tex]\\ \sf\longmapsto 1.1[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
1200 divided by 95 explanation answer
Answers
Answer:
12.6
Step-by-step explanation:
You would get 12.6315789474 but you round to the nearest tenth.
you would get 12.6315789 but you round to the nearest tenth.
Evaluate the infinite series:
[tex] \displaystyle \large{ \sum_{n = 1}^{ \infty} \frac{1}{(n + 1) \sqrt{n} + n \sqrt{n + 1} } }[/tex]
Please show your work too — thanks!
Answers
9514 1404 393
Answer:
sum = 1
Step-by-step explanation:
The method of partial sums has you look at sums of various numbers of terms of the series to see if there is a pattern that suggests either divergence or a limit. Here, the partial sums suggest the series sum is 1.
__
In the attachment, we have computed sums of 1 term, 10 terms, 100 terms, and so on up to 10^8 terms. These sums seem to approach the value 1.
Individual terms get small faster than for a harmonic series, which his known not to converge, but more slowly than a quadratic series. Large numbered terms are approximately proportional to n^-(3/2).
_____
You can actually compute the sum exactly, without reference to partial sums. Each term of the sum can be rewritten as ...
[tex]\dfrac{1}{(n+1)\sqrt{n}+n\sqrt{n+1}}=\dfrac{1}{\sqrt{n(n+1)}(\sqrt{n+1}+\sqrt{n})}\\\\=\dfrac{\sqrt{n+1}-\sqrt{n}}{\sqrt{n(n+1)}}=\dfrac{1}{\sqrt{n}}-\dfrac{1}{\sqrt{n+1}}[/tex]
Then successive terms will cancel the intermediate fractions. So, for example, the sum of the first 3 terms is ...
(1/√1 -1/√2) +(1/√2 -1/√3) +(1/√3 -1/√4) = 1 -1/√4
This means the given sum will evaluate to ...
1 -1/√∞ = 1 -0 = 1 . . . sum of the infinite series
HELP ME WITH ANGLES PLEASE>
Answers
hope i helped <3
Answer:
x = 33
Step-by-step explanation:
Pls brainliest I knew it because of K12
find the midpoimt of the line segment between the points (4,-7) and (12, -1)
a. (8, -4)
b. (4, -3)
c. (16, -4)
d. (4, -4)
Answers
The midpoint is the middle of the line. Thus for a line segment, it is finding the halfway point between the x and y values.
Midpoint = ( [¹/₂ (x₁ + x₂)] , [¹/₂(y₁ + y₂)])
∴ for a line segments with endpoints (4,-7) and (12, -1),
Midpoint = ( [¹/₂ (12 + 4)] , [¹/₂(-7 - 1)])
= ( [¹/₂ (16)] , [¹/₂(-8)])
= (8, -4) (OPTION A)
Una membresía de 2 meses para el gimnasio cuesta $ 125. A Jim le gustaría ser miembro durante 8 meses. ¿Cuál es la cantidad total que pagará durante 8 meses?
Answers
Answer:
$ 500
Step-by-step explanation:
Básicamente divides 125 entre 2 (para saber el precio de la mensualidad, asumiendo que no hay descuentos) y luego ese resultado lo multiplicamos por 8, ya que es la cantidad de meses que nos interesa pagar (no se hace por 6 porque en ninguna parte dice que ya ha pagado esos 2 meses)
Que. 19. In the equation x = 2y + 9, if x = 1, than y =
Answers
Answer: y = -4
Step-by-step explanation:
If x = 1
1 = 2y + 9
1 - 9 = 2y
-8 = 2y
y = -8/2
y = -4
please give me a brainliest answer
Answer:
[tex]y = ( - 4)[/tex]
Step-by-step explanation:
Given that,
[tex]x = 1[/tex]
Question :
[tex]x = 2y + 9[/tex]
You have to find the value of y. So, make the y as the Subject
[tex]x = 2y + 9 \\ x - 9 = 2y \\ \frac{x - 9}{2} = \frac{2y}{2} \\ \frac{x - 9}{2} = y[/tex]
Now replace 1 instead of x
[tex]y = \frac{x - 9}{2} \\ y = \frac{1 - 9}{2} \\ y = \frac{ - 8}{2} \\ y = - 4[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
What is the equation for the line that is parallel to the x-axis and passes through the point (5, -2)?
Answers
Answer:
y = -2
Step-by-step explanation:
I need help finding the x
Answers
Answer:
the answer is x=11......
list the coordinate for both pairs.
Answers
Answer:
Hi I hope this helps
A = X : -3 Y : -3
B = X : -2 Y : 1
Step-by-step explanation:
please let me know if it's right or wrong
help fast pleaseee
NO RANDOMS
Answers
Answer:
44.8
Step-by-step explanation:
Take the second number and subtract the first number
44.4 - (-.4)
Subtracting a negative is like adding
44.4 +.4
44.8
Answer:
[tex]D.44.8[/tex]
Step-by-step explanation:
The difference between two numbers can be obtained by subtracting the smaller number from the bigger number.
- 0.4 is the smaller number, and 44.4 is the larger number. Therefore, the difference between the two is 44.4 - (- 0.4).
Kim buys a dress for $65 and some shirts for $15 each. Linda buys some shoes for $50 and some shirts for $20. If the girls spend the same amount of money and get the same number of shirts, how many shirts did they get?
Define a variable:
Write an Equation or Inequality:
Answers
Answer:
5 shirts
Step-by-step explanation:
we can use the problem to get an equation:
65+15x=50+20x
subtract 50 from each side to get:
15+15x=20x
subtract 15x from each side to get:
15=5x
divide each side by 5 to get your answer:
x=5
Multiply
(-4-71)(3 – 52)
Enter your answer, in standard form
Answers
A tunnel is constructed with a semielliptical arch. The width of the tunnel is 80 feet, and the maximum height at the center of the tunnel is 30 feet. What is the height of the tunnel 4 feet from the edge? Round your answer to the hundredths place.
4.01 feet
9.37 feet
13.08 feet
29.85 feet
Answers
This can be determined by ellipse formula. Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.
Given:
A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 80 feet, and the maximum height at the center of the tunnel is 30 feet.
Find:
The height of the tunnel 4 feet from the edge is.
Let us consider,
The center of the concerned ellipse at the centre of its width of 80 feet. Let us consider
[tex]\begin{alligned}2a&=80\\\\a&=\dfrac{80}{2}&=\bold{40\:feet}\end{aligned}[/tex]
Since the maximum height at the centre of the tunnel is 30 feet, we can say that b = 30 feet.
Now, considering the centre of the tunnel as origin, we can write the equation of the ellipse as:
[tex]\bold{\dfrac{x^{2} }{a^{2} } +\dfrac{y^{2} }{b^{2} } =1}[/tex]
If we need to find the height of the tunnel 4 feet from the edge, we are looking for the height of the tunnel at 40 - 4 = 36 feet from the center of the tunnel.
Therefore, we need to find y from the equation of the ellipse, when x = 36 feet.Hence,
[tex]\begin{aligned}\dfrac{36^{2} }{40^{2} } +\dfrac{y^{2} }{30^{2} }&=1\\\dfrac{1296}{1600} +\frac{y^{2} }{900}&=1\\y^{2}&=(1-\frac{1296}{1600} )\times900\\y^{2}&=(1-0.81)\times900\\y^{2}&=0.19\times900\\y^{2}&=171\\y &=\sqrt{171\\\bold{y&=13.08}\end{aligned}[/tex]
Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.
For further details,please prefer this link:
https://brainly.com/question/13447584
Answer:
This can be determined by ellipse formula. Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.
Step-by-step explanation:
because of the reason that the other one said so, and im answering cause i want more points and to maintain my streak, and brainly stop taking down my answers!
someone please help me
Answers
Answer:
the slope is -2
Step-by-step explanation:
Answer:
1/1 = 1
Step-by-step explanation:
Use rise/run.
The x value increases by 1 in the same amount of time that the y value increases by 1. This gives you the slope 1/1 (y increase/x increase).
1/1 can then be converted to 1.
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)
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___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = (6,9)² + (5,3)²
x² = 47,61 + 28,09
x² = 75,7
x = 8,7yd✔
Hmingsanga sells a washing machine for Rs 13,500. He loses 20% in the bargain. What was the price at wich he bought it?
Answers
Answer:
10800
Step-by-step explanation:
Answer:
9220 Yan na ang true answer
Apply the distributive property:
-3(x+2) =
Answers
Answer:
-3x-6
Step-by-step explanation:
you multiply x by -3 getting -3x then you multiply -3 by positve 2 getting -6
Hello skm413002!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Apply the distributive property:
-3(x+2) =
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
By applying the distributive property, we can solve it as....
[tex] \sf \: - 3(x + 2) \\ = \sf \: (- 3 \times x) -( 3 \times 2) \\ = \large \boxed{\boxed{ \bf - 3x - 6}}[/tex]
Method :-Distributive property.Steps :-Multiply -3 with x & 2.Add the 2 products.You'll get the answer as -3x - 6.__________________
Hope it'll help you!
ℓu¢αzz ッ
Sage needs 2 boards to make a shelf. One board is 260 cm long and the other is 1 1/4 m long. What is the total length of the shelf?
Answers
Answer:
385
Step-by-step explanation:
1 1/4 meters = 125 cm
125+260 = 385
Answer:
sum = 260 + 270 = 535 cm or = 5,35 m
Step-by-step explanation: take 11/4m = 2,75m * 100 = 275 cm
Multiply. Write the answer in the simplest form.
4/7 x 4 3/8 x 5/6
Answers
Answer:
2 1/12
The answer should be 2 1/12
(Two and one over twelve)
or
(Two and a one twelfth)
Answer:
2.1
Step-by-step explanation:
...........................
20 POINT QUESTION!!!!
f(x)=12x^(2)+4x-5
find the zeroes of the function...
Answers
Answer:
x = - [tex]\frac{5}{6}[/tex] , x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
To find the zeros let f(x) = 0 , that is
12x² + 4x - 5 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 12 × - 5 = - 60 and sum = + 4
The factors are - 6 and + 10
Use these factors to split the x- term
12x² - 6x + 10x - 5 = 0 ( factor first/second and third/fourth terms )
6x(2x - 1) + 5(2x - 1) = 0 ← factor out (2x - 1) from each term
(2x - 1)(6x + 5) = 0
Equate each factor to zero and solve for x
6x + 5 = 0 ⇒ 6x = - 5 ⇒ x = - [tex]\frac{5}{6}[/tex]
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
Determine what type of model best fits the given situation:
A. none of these
B. exponential
C. quadratic
D. linear
Reset Selection
Answers
Answer:
A. none of these
Step-by-step explanation:
It's an absolute value function such as : y = 3*| x-1 |
The additive inverse of a - b is?
Answers
Answer:
its b - a
Step-by-step explanation:
the additive inverse of a − b is −(a − b) which can be simplified to b − a.
Use the remainder theorem to determine whether x=-4 is a solution of x^6+5x^5+5^4+5^3+2x^2-10x-8.
Answers
Hello haohaoxNienie!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Use the remainder theorem to determine whether x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
Refer to the attached picture.
Steps :-First find the divisor using the given information (x = - 4).Now, divide x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8 by x + 4.We'll get the remainder as 0.Using the remainder theorem & solving it, we'll get LHS & RHS as 0.Hence proved.Answer :- Yes, x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.
__________________
Hope it'll help you!
ℓu¢αzz ッ
I got the rest please answer for last question!
Answers
Answer:
y = -3x + 1
Step-by-step explanation:
see if that's correct? I'm not quite sure
Which fraction is equivalent to 3/10?
Answers
Answer:
[tex]\frac{12}{40\\}[/tex]
Step-by-step explanation:
[tex]\frac{3}{10}[/tex] × [tex]\frac{4}{4} =\frac{12}{40}[/tex]