Answer:
It is. 4 ( 6x- 5) Hope this helped
Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).
Answer:
The domain of [tex]f(x)[/tex] is [tex]Dom \{f(x)\} = \mathbb{R}-\{1\}[/tex].
Step-by-step explanation:
Let [tex]f(5\cdot x ) = \frac{x-5}{5\cdot x-1}[/tex], which is rearranged by algebraic means:
1) [tex]f(5\cdot x ) = \frac{x-5}{5\cdot x-1}[/tex] Given
2) [tex]f(5\cdot x) = \frac{x\cdot 1 - 5}{5\cdot x -1}[/tex] Modulative property
3) [tex]f(5\cdot x) = \frac{5^{-1}\cdot (5\cdot x)-5}{5\cdot x -1}[/tex] Existence of multiplicative inverse/Associative and commutative properties.
4) [tex]f(x) = \frac{5^{-1}\cdot x - 5}{x-1}[/tex] Composition of functions.
5) [tex]f(x) = \frac{(5^{-1}\cdot x-5)\cdot (5\cdot 5^{-1})}{x-1}[/tex] Existence of multiplicative inverse/Associative property.
6) [tex]f(x) = \frac{(x-25)\cdot 5^{-1}}{x-1}[/tex] Commutative, associative and distributive properties/[tex]a\cdot (-b) =-a\cdot b[/tex]/Definition of subtraction
7) [tex]f(x) = (x-25)\cdot [5^{-1}\cdot (x-1)^{-1}][/tex] Definition of division/Associative property
8) [tex]f(x) = (x-25)\cdot (5\cdot x -5)^{-1}[/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]/Distributive property/[tex]a\cdot (-b) =-a\cdot b[/tex]/Definition of subtraction
9) [tex]f(x) = \frac{x-25}{5\cdot x - 5}[/tex] Definition of division/Result
The domain of a polynomial-based rational function consists in all values of the real set except values where denominator equals zero. The value of [tex]x[/tex] such that rational function becomes undefined is:
1) [tex]5\cdot x - 5 = 0[/tex] Given
2) [tex]5\cdot (x-1) = 0[/tex] Distributive property
3) [tex][5\cdot (x-1)]\cdot 5^{-1} = 0\cdot 5^{-1}[/tex] Compatibility with multiplication
4) [tex](x-1)\cdot (5\cdot 5^{-1}) = 0[/tex] Commutative and associative properties/[tex]a\cdot 0 = 0[/tex]
5) [tex]x-1 = 0[/tex] Existence of multiplicative inverse/Modulative property
6) [tex]x+[1+(-1)] = 1+0[/tex] Compatibility with addition/Commutative and associative properties
7) [tex]x = 1[/tex] Existence of additive inverse/Modulative property/Result
Hence, the domain of [tex]f(x)[/tex] is [tex]Dom \{f(x)\} = \mathbb{R}-\{1\}[/tex].
There are 18 fish in a pond. 9 carp, 8 koi and 1 trout. what is the probability of picking a koi if you pick a fish at random .. HURRYY PLS
9/18
8/18
1/18
0/18
Answer:8/18
Step-by-step explanation:
How many lines of symmetry does this figure have?
A) 2
B) 3
C) 4
D) 6
Answer:
6
Step-by-step explanation:
you can connect opposite vertices and opposite sides
Answer:
6
Step-by-step explanation:
dilations of a triangle are congruent to the original triangle true or false
Answer:
no
Step-by-step explanation:
when two shapes are congruent they have the same shape and size.
There are 212.5 grams of sugar in a 2-liter bottle of soda. How much sugar is there in 4.5 bottles? please HELP ME
Sergio and Allen ate lunch together in the school cafeteria. Each boy ordered a cheeseburger with fries. Sergio only ate 1/7 of his cheeseburger, while Allen ate 3/7 of his cheeseburger. How much cheeseburger did they eat together?
Answer:
4/7
Step-by-step explanation:
The word together symbolizes that we are adding.
We add the numerators but keep the denominator the same since it is already the same.
1+3 is 4, so that is our new numerator.
1 3 4
__ + __ = __
7 7 7
Hope this helps!
-AxekickNebulite
please helppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
the math team has 11 boys 10 girls and 1 coach. What is the ratio of coach to students?
Find the value of each trigonometric ratio. 1) sin X 28 Z 21
Answer:
.
Step-by-step explanation:
Josh had 4 five-dollar bills. Then his grandfather gave him 1 ten-dollar bill How much money does Josh have now?
Answer:
30 dollars
Step-by-step explanation:
4(5) + 10 = 20 + 10 = 30
Find the value of x.
299
(15x + 34)º
(12x + 26)
Answer:
there is no solution
Step-by-step explanation:
can someone solve 8x + 38 = - 3 ( - 6 - 4x) STEP BY STEP PLEASE
Answer:
x = 5
Step-by-step explanation:
[tex]8x+38=-3(-6-4x)\\\\8x+38=18+12x\\\\8x+38-38=18-38+12x\\\\8x=12x-20\\\\8x-12x=12x-12x-20\\\\-4x=-20\\\\\frac{-4x=-20}{-4}\\\\\boxed{x=5}[/tex]
Hope this helps!
I WILL GIVE 100 POINTS AND FREE BRAINLIEST TO THE PERSON THAT ANSWERS THESE 2 QUESTIONS (oh and if you try to search it up online it’ll be to late since other people will want this also so dont try it)
1. What is EMINEMS real name
2. What is Tony Starks/IronMans real name
Answer:
Iron man's real name is Robet Downey Jr.
EMINEM's is Marshall Bruce Mathers III
Step-by-step explanation:
Sameen bought 215 pound of carrots for $6.60. At that rate, how much would 1 pound of carrots cost?
Step-by-step explanation:
215 pounds of carrots for $6.60
= 1 pound of carrots for $6.60 / 215 = $0.03 or 3 cents.
Answer:
$0.03
Step-by-step explanation:
6.60/215=.03
I have a math question I need help answering.
determine the account balance at 2 years if $20,000 was invested in an account that conference annually at 4.5 % per year. Round to the nearest cent.
Can someone help me please!! ASAP
Answer:
4. Domain: -3,-2,-1,0,1, and 2. Range: -2,0,2,4,2,0. It is a function
5. Domain: -3,-1,-1,1, 2,3 Range: 0,-1,2,0,-3,3. Not a function.
Step-by-step explanation:
Number four is a function because there is one x to one y but for five there are two x's to one y.
does anyone know this ??
Answer:
Step-by-step explanation:
Measure it? A to B??
Answer:
Triangle ADB is congruent to triangle DBC
Step-by-step explanation:
In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid. In the case of isosceles and equilateral triangles, a median bisects any angle at a vertex whose two adjacent sides are equal in length.
Stella solves the following system of equations using the substitution method.
y=−4x−65x−y=10
What is the single-variable equation she solves after substituting?
5x−4x−6=10
5x−(−4x−6)=10
5x+10=−4x−6
5x+10=−(4x−6)
Answer:
5x-(-4x-6) = 10
Step-by-step explanation:
Given the expression
y=−4x−6 ..... 1
5x−y=10... 2
To get the required equation we will substitute equation 1 into 2
5x-y = 10
5x-(-4x-6) = 10
5x+4x+6 = 10
9x+6 = 10
9x = 4
x = 4/9the required equation is 5x-(-4x-6) = 10
Answer:
5x - (-4x - 6) = 6
Step-by-step explanation:
Sandy has 15 roses, 5 daisies, and 10 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet?
Answer:
5
Step-by-step explanation:
Sandy has 15 roses, 5 daises and 10 tulips
She wants to arrange the flower in such a way that each bouquet will have the same flower in it
Therefore the greatest number of flowers that will be in each bouquet is 5 flowers this is so inorder to make each bouquet contain equal number of flowers, this means that one bouquet must not be greater than the other.
#3, #19, and #16 please!!
When Emily woke up, the temperature was 8 degrees F. By noon, the temperature had risen by 3 degrees F. It rose another 6 degrees in the afternoon to reach the day's high temperature. By the time Emily went to bed, the temperature had dropped 21 degrees F from the high temperature. What was the temperature when Emily went to bed?
Which of the following is the correct slope-intercept form of the equation -4x + 2y = 14?
y = 2x + 7
y = 4x + 14
y = -2x + 7
y = -4x + 14
Dylan walked 1/2 miles in 20 minutes. How far will he go (in miles) in 120 minutes?
Answer:
He will have gone 3 miles after 120 minutes
Step-by-step explanation: 120/20=6 1/2 times 6 is 3.
Answer:
3 miles
Step-by-step explanation:
Divide 20 by 1/2, which would be 40. Then divide 40 by 120, and that would lead to your answer, which is 3 miles.
Hope this helps!
Solve for a: am=n+p
Help me
Answer:
a = (n + p)/m
Step-by-step explanation:
just divide by m on both sides
hope this helped!
−3(3x−4)=2x+23
helppppppppp
Answer:
x=-1
Step-by-step explanation:
−3(3x−4)=2x+23
-9x+12=2x+23
-11x+12=23
-11x=11
x=-1
The number 0.000000675 can be written in scientific notation as 6.75 x 10x.What is the value of x?
Answer:
x= -7
Step-by-step explanation:
hope this helps you!
The value of x in the expressed scientific notation is;
x = -7
We are given the number 0.000000675.
Now, when writing decimals like this, it means a number has been divided by an exponent of 10.
For example; 0.01 is 1/100.
This means we start counting from the the decimal point of the whole number we want to use to the left. The number of counts we make till the end will be the exponent of 10.
Now, in our question, counting to the left from between 6 and 7 gives us 7.
Thus; we have;
6.75/10⁷
But in our question, multiplication is used and not division.
Thus, we have;
6.75 × 1/10⁷
⇒ 6.75 × 10⁻⁷
Comparing with the question gives;
x = -7
Read more at; https://brainly.com/question/16964754
DESPERATE HELP NEEDED IM ON THE LAST QUESTION BEEN CRYING I WILL GIVE BRAINLIEST✨✨✨
Answer: y -200
Step-by-step explanation:
The amount of time between interest payments is known as:
A. period.
B. simple interest.
C. interest.
D. principal.
A. period.
This is the answer
Solve h = 3xy^2/4 for y
Answer:
[tex]\sqrt{\frac{4h}{3x}}[/tex] = y
Step-by-step explanation:
[tex]h = \frac{3xy^{2}}{4}[/tex]
*4 *4
4h = [tex]3xy^{2}[/tex]
/3 /3
[tex]\frac{4h}{3}[/tex] = [tex]xy^{2}[/tex]
/x /x
[tex]\frac{4h}{3x}[/tex] = [tex]y^{2}[/tex]
[tex]\sqrt{\frac{4h}{3x}}[/tex] = y
Michael cycled a distance of miles in hours. What is his cycling unit rate in miles per hour?
Answer:
69,420
Step-by-step explanation: Give more details
what is the distance lol