Answers
Answer:
m = 9, n = 2
Step-by-step explanation:
Find [tex]f^{-1}[/tex] (x) by letting y = f(x) and rearranging making x the subject, that is
y = mx + n ( subtract n from both sides )
y - n = mx ( divide both sides by m )
[tex]\frac{y-n}{m}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = [tex]\frac{x-n}{m}[/tex]
Given [tex]f^{-1}[/tex] (x) = g(x) , then
[tex]\frac{x-n}{m}[/tex] = [tex]\frac{x-2}{9}[/tex]
By comparison of the 2 sides
m = 9 and n = 2
Related Questions
Simplify (sin^2 0+cos^2 0) (sin 0+cos 0)
Can someone help? I don’t understand.
Answers
Answer:
C) [tex]sin\theta+cos\theta[/tex]
Step-by-step explanation:
[tex](sin^2\theta+cos^2\theta)(sin\theta+cos\theta)[/tex]
[tex]sin\theta+cos\theta[/tex]
Recall the Pythagorean Trigonometric Identity where [tex]sin^2\theta+cos^2\theta=1[/tex], so [tex]1(sin\theta+cos\theta)=sin\theta+cos\theta[/tex]
Answer:
C
Step-by-step explanation:
To start this problem off, we should know an important trig rule:
[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]
From here, it is simple:
[tex](\sin^2(\theta)+\cos^2(\theta))(\sin(\theta)+\cos(\theta))=\\1(\sin(\theta)+\cos(\theta))=\\\sin(\theta)+\cos(\theta)[/tex]
C
I hope this helps! Let me know if you have any questions :)
Explain why a + 2b = 110 in the triangle shown
Answers
Answer:
Step-by-step explanation:
According to the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. For us, in our triangle:
a + 2b + 70 = 180 so
a + 2b = 180 -70 and
a + 2b = 110. That's why.
Solve for x in these two similar triangles
Answers
a)ab
b)bh
c)gc
d)fe
help me please
Answers
Answer:
Its a
Step-by-step explanation:
Answer:
Letter C) bh
Step-by-step explanation:
Segment bh is straight across cd and parallel line extend in the same direction but never intersect.
Hope this helps
A scientist is growing two species of bacteria. She defines a variable t that represents the number of days after the growth begins. The number of bacteria after t days is defined by: Species A: y=1000∙2^(t/3)
Species B: y=1000∙2^3t
(a) how many bacteria does each species start out with?
Answers
Number of bacteria each species start out with for the given exponential growth function is equals to 1000.
What is exponential growth function?
" Exponential growth function is defined as the the process of the increment in the initial quantity over the period of time 't'."
Formula defined
Exponential model
[tex]y =y_{0} e^{kt}[/tex]
[tex]y =[/tex]growth in the quantity
[tex]y_{0}[/tex] = initial quantity
[tex]k=[/tex] exponential growth
[tex]t=[/tex] time taken to grow
According to the question,
Given exponential function,
For Species A : [tex]y=1000 (2^{\frac{t}{3} } )[/tex]
For Species B : [tex]y=1000 (2^{3t} )[/tex]
't' represents the number of days after the growth begins
a. For the given condition of the exponential growth function ,
t = 0 when species start out with
For species A
[tex]y=1000 (2^{\frac{0}{3} } )[/tex]
⇒ [tex]y=1000[/tex]
For species B
[tex]y=1000 (2^{3(0) } )[/tex]
⇒ [tex]y=1000[/tex]
Hence, number of bacteria each species start out with for the given exponential growth function is equals to 1000.
Learn more about exponential growth function here
https://brainly.com/question/11487261
#SPJ2
I suck at math but what's greater 0.67 or 0.6
Answers
Answer:
0.67!
Step-by-step explanation:
0.6 is just 0.60 which is less than 0.67
You roll two 6-sided dice.
What is the probability that you would roll an even number on the first dice and a number greater than 4 on the second?
Answers
probability that you role a number greater than 4 on the second: only numbers greater than 4 are 5 and 6, so you have 2 numbers / 6 total = 2/6 chance = 1/3 chance
because it says AND, you have to multiply the first role probability by the second role probability
so 1/2 x 1/3 = 1/6
answer: 1/6
Which 3 expressions are equivalent to the
expression : 3x-12-2(x+12)
Answers
Answer:
second option , third option and last option
Step-by-step explanation:
3x - 12 - 2(x + 12)
=3x - 12 -2x - 24
=x - 36
Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.
Step 1: (3x3 – 15x2) + (–4x + 20)
Step 2: 3x2(x – 5) + 4(–x + 5)
Omar noticed that he does not have a common factor. Which accurately describes what Omar should do next?
Omar should realize that his work shows that the polynomial is prime.
Omar should go back and regroup the terms in Step 1 as (3x3 – 15x2) – (4x + 20).
In Step 2, Omar should factor only out of the first expression.
Omar should factor out a negative from one of the groups so the binomials will be the same.
Answers
Answer:
2nd option
Step-by-step explanation:
Given
3x³ - 15x² - 4x + 20
step 1 ( group the first/second and third/fourth terms )
(3x³ - 15x² ) + (- 4x + 20)
step 2 ( factor each group )
3x² (x - 5) - 4(x - 5) ← note factor of - 4 ( not + 4 )
step 3 ( factor out (x - 5) from each term )
(x - 5)(3x² - 4)
Answer:
ITS D !!!!
Step-by-step explanation:
got it right on test
In the circle shown below, The length of chord AB is 24 and the length of OC is 5. What is the radius of the circle with center O
Answers
Answer:
radius = 13
Step-by-step explanation:
OC is a perpendicular bisector of AB , then AC = 12
OA is the radius of the circle
Using Pythagoras' identity in right triangle OAC
OA² = OC² + AC²
OA² = 5² + 12² = 25 + 144 = 169 ( take the square root of both sides )
OA = [tex]\sqrt{169}[/tex] = 13
The radius = 13 units
Answer:
13
Step-by-step explanation:
AB is bisected by perpendicular OC so AB is divided into intwo two equal halves.
if AB = 24
AC =[tex]\frac{1}{2} *AB[/tex]
=[tex]\frac{1}{2} *24[/tex]
=12
no join OA and name its length as x
OA = X
OC = 5
AC = 12
when u join O and A it forms a triangle . SO to find OA lets find pythagoras theorem
OC^2 + AC^2 = OA^2
5^2 + 12^2 = OA^2
25 + 144 = OA^2
169 = OA^2
[tex]\sqrt{169}[/tex] = OA
13 = OA
radius is the line joining the centre and any point on the circumference.So here since O is the centre and A is the points on the circumference and they are joined so the line can be named as radius of a circle.
Therefore radius of a circle is 13
An aeroplane flies 1860 miles in 4 hours. What is its average speed?
Answers
Answer:
The average speed is 465 mph
Step-by-step explanation:
1860/4 = 465
Answer:
The average speed is 465 mph
Step-by-step explanation:
Average speed = distance/time
1860 miles / 4 hours = 465 mph
plzx solve it with steps....
how many terms of the A P -6,11/2,-5......are needed to give the sum -25??
plzx give me all the steps....!!
Answers
I think the second number is supposed to be negative, -11/2 = -5.5, because otherwise the sequence is not arithmetic.
The n-th term of the sequence, starting with n = 1, is then
-6 + 0.5 (n - 1) = 0.5n - 6.5
and we want to find the number N such that
[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5)=-25[/tex]
We have
[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5) = 0.5\sum_{n=1}^Nn-6.5\sum_{n=1}^N1\\ = 0.5\times\frac{N(N+1)}2 - 6.5N \\= 0.25N^2-6.25N = -25[/tex]
Solve for N :
0.25 N ² - 6.25N + 25 = 0
N ² - 25N + 100 = 0
(N - 20) (N - 5) = 0
N = 20 or N = 5
78.4 divided by 0.56
Answers
pls tell the answer by step by step
Answers
The point lies in 2nd quadrant.
Answer:
second quadrant
Step-by-step explanation:
here , -2 is x component and y component is 5
since x component is negative and y component is positive it lies on the second quadrant.
Note: if both x and y component are positive then the point lies on first quadrant.
id x component is negative and y component is positive then the point lies on second quadrant.
if x both x and y component are negative then the point lies on third quadrant.
if x component is positive and y component then the point lies on fourth quadrant.
11) Write the explicit formula
for the sequence below and
use it to find the 47th term:
-3, 5, 13, 21,...
Answers
Answer:
365
Step-by-step explanation:
tn = t1 + (n - 1)(d)
t(47) = -3 + (47 - 1)(8)
t(47) = -3 + (46)(8)
t(47) = -3 + 368
t(47) = 365
is f(x)=–3?
–7
–4
4
5
Answers
Answer:
4 is the answer...........
_4 is the best answer of this question
The Jones family wants to enclose their circular garden with a fence. To the 1 point
nearest meter, what is the minimum length of fencing they need to buy?
Note that radius of garden is 62.5m. User as 3.14.
Answers
Answer:
Step-by-step explanation:
We have to find the circumference.
Length of the fence = 2πr
= 2* 3.14 * 62.5
= 392.5
= 393 m
Given that triangle GHJ = triangle XYZ What is m
Answers
4 1/3 - 2 1/2 divided by 1 2/3
Answers
Answer:
Exact Form: [tex]\frac{17}{6}[/tex]
Decimal Form: 2.83
Mixed Number Form: [tex]2 and 5/6[/tex]
Step-by-step explanation:
Answer:
[tex]1\frac{1}{10}[/tex]
Step-by-step explanation:
[tex]4\frac{1}{3}-2\frac{1}{2}[/tex]
[tex]4\frac{2}{6} -2\frac{3}{6}=1\frac{5}{6}[/tex]
[tex]1\frac{5}{6} =\frac{11}{6}[/tex]
[tex]1\frac{2}{3}=\frac{5}{3}[/tex]
[tex]\frac{11}{6}[/tex] ÷ [tex]\frac{5}{3} =[/tex]
[tex]\frac{11}{6} *\frac{3}{5}=[/tex]
[tex]\frac{11}{2}*\frac{1}{5} =[/tex]
[tex]=\frac{11}{10}[/tex]
[tex]=1\frac{1}{10}[/tex]
Hope this is helpful
Which statements are true of the function represented
by this graph?
Answers
Which graph?
___________
in this given figure find the value of x
Answers
QUESTION:- find the value of x
ANSWER:-[tex]180 - 6x + 180 - 5x + 180 - 4x = 180 \\ 360 + 180 - 15x = 180[/tex]
[tex]360 - 15x = 180 - 180 \\ 360 = 15x \\ 24 \degree = x[/tex]
Answer:
x = 24
Step-by-step explanation:
The exterior angles of the triangle sum to 360° , that is
5x + 4x + 6x = 360
15x = 360 ( divide both sides by 15 )
x = 24
Hi guys pls answer this it’s easy tbh
Answers
Answer:
this is the accurate answer of your questions
If a chair costs 734 dollars and I give it to my friend for 823 dollars how much is my profit as a percentage
Answers
Answer:
[tex]X=12.125\%[/tex]
Step-by-step explanation:
From the question we are told that:
Cost Price [tex]CP=734[/tex]
Sale Price [tex]SP=823[/tex]
Generally the equation for Profit P is mathematically given by
[tex]Profit=SP-CP[/tex]
[tex]P=823-734[/tex]
[tex]P=89[/tex]
Therefore as a percentage
Percentage Profit X is given as
[tex]X=\frac{89}{734}*100[/tex]
[tex]X=12.125\%[/tex]
find the area of a circle . diameter =30cm . suction
Answers
Area of Circle = pi * r* r
Diameter = 2* r
Radius = 30/2 = 15 cm
pi = 3.14
Area of circle = 3.14 * 15 *15 = 707.14 cm ^2
The tables show the cost of different numbers of t-shirts ordered at two different stores, Store P and Store Q: Store P Number of T-shirts Cost (in $) 3 $18 6 $36 9 $54 Store Q Number of T-shirts Cost (in $) 2 $10 4 $20 8 $40 Which of these explains which store has a better buy? (5 points) Store Q, because the ratio of the number to the cost is 1:6 in Store P and 1:5 in Store Q Store Q, because the ratio of the number to the cost is 6:1 in Store P and 5:1 in Store Q Store P, because the ratio of the number to the cost is 3:21 in Store P and 2:12 in Store Q Store P, because the ratio of the number to the cost is 21:3 in Store P and 12:2 in Store Q
Answers
Answer:
store p
number
of t-shirts cost (in $)
3 $18
6 $36
9 $54
store q
number
of t-shirts cost (in $)
2 $10
4 $20
8 $40
Store q, because the ratio of the number to the cost is 1: 6 in store p and 1: 5 in store q.
what is the name of the shape made by the equation below?
r=2+2 sin(theta)
Answers
Answer:
cardioid
Step-by-step explanation:
r=2+2 sin(theta)
This is of the form
r =a+b theta
This is a limacon
When a = b, it is called a cardioid.
Evaluate
tan 332°30'
Cos 229°47'
and sec(-38°22')
HELPPP
Answers
What is the value of y ?
Answers
Answer:
67
Step-by-step explanation:
Answer.
67°
Step-by-step explanation:
the two lines are parallel so,
angle on line XY 67° is alternate angle on BD so, angle will be opposite angle y.
therefore, angle y= 67°
i got help from an awesome app called Gauthmath you can check it out on play store and app store. in my opinion avery good app with tutors and concept videos.
Someone help please!!!
Answers
Answer:
10%
Step-by-step explanation:
if the total hours of sports being played is 50 hours, and the time playing soccer is 5 hours, you just divide 5 by 50 (technically will be .1, but to make it a percent you multiply by 100)
Can somebody help I’ll give brainless
Answers
Answer:
194.51
Step-by-step explanation:
Find 6% of 183.50
183.50 * 6%
183.50 * .06
11.01
Add this to the original price
183.50+11.01
194.51
