If f(x) = 4x-3, which of the following is the inverse of f(x)?
7x+3
O A. F'(X) =
4
4x-3
O B. F'(x) = 447
7x-3
O c. F'(x) =
4
O D. F'(x) = 4***
SUBMIT
Math
Answer:
[tex]\huge\boxed{f^{-1}(x)=\dfrac{x+3}{4}=\dfrac{1}{4}x+\dfrac{3}{4}}[/tex]
Step-by-step explanation:
[tex]f(x)=4x-3\to y=4x-3\\\\\text{exchange}\ x\ \text{to}\ y\ \text{and vice versa}\\\\x=4y-3\\\\\text{solve for}\ y\\\\4y-3=x\qquad|\text{add 3 to both sides}\\\\4y-3+3=x+3\\\\4y=x+3\qquad|\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x+3}{4}\\\\y=\dfrac{x+3}{4}\to y=\dfrac{1}{4}x+\dfrac{3}{4}[/tex]
Gretta wants to buy a jar of fossils that is 10% off. The original price is
$47.82.
What is amount of discount (nearest penny)?
Answer:
4.78
Step-by-step explanation:
=47.82 x 10/100
=47.82 x 1/10
=4.782
=~ (approx) 4.78
In 8 hours, Raina reads 56 chapters of a book.
What is her rate in chapters per hour?
Answer:
7
Step-by-step explanation:
A tank initially contains 130 gallons of water. It is then filled with more water, at a constant rate of 8 gallons per minutes. Write an equation that represents how much water is in the tank after m minutes.
Answer: 130+8(m)
Step-by-step explanation: you want to add how much water times m is added to your very first amount
Pls help thanks :)
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scrieti primi doi mmultipli omuni ai numerelor naturale a) 4 si 6 b)6 si 9
raspunsul repede va rog
Answer:
Step-by-step explanation:
(a).
Multiples of 4 are {4, 8, 12, 16, 20, 24, 28, ..... }
Multiples of 6 are {6, 12, 18, 24, 30, ..... }
12 and 24
(b).
Multiples of 6 are {6, 12, 18, 24, 30, 36, 42, ..... }
Multiples of 9 are {9, 18, 27, 36, 45, ..... }
18 and 36
x = ? ..................................
Answer:
x = 40
Step-by-step explanation:
The two sides on top are congruent, Kites have two pairs of adjacent sides that are equal. so since it's 40 degrees on one side, the same will happen to the other.
Find the midpoint of the segment with the following endpoints.
(9, 1) and (5, -7)
Answer:
7;-3
Step-by-step explanation:
9+5/2 ; 1+(-7)/2
14/2 ; -6/2
7 ; -3
The product of two consecutive even integers is 2208. What is their sum?
Answer:
±94
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Standard Form: ax² + bx + c = 0Solving Quadratic EquationsConsecutive IntegersStep-by-step explanation:
Step 1: Define
x (1st consecutive term)
x + 2 (2nd consecutive term)
Step 2: Set up equation
x(x + 2) = 2208
Step 3: Solve for x
Distribute x: x² + 2x = 2208Rewrite in Standard Form: x² + 2x - 2208 = 0Factor quadratic: (x - 46)(x + 48) = 0Find roots: x = -48, 46Step 4: Identify Consecutive Integers
Possibility 1: x = -48
1st Consecutive Even Term: -48
2nd Consecutive Even Term: -48 + 2 = -46
Possibility 2: x = 46
1st Consecutive Even Term: 46
2nd Consecutive Even Term: 46 + 2 = 48
Step 5: Find sums
Possibility 1: x = -48
-48 + -46 = -94
Possibility 2: x = 46
46 + 48 = 94
If ƒ (x ) = 3x2 - x, find ƒ (-2).
Answer:
f(-2) is 14.
Step-by-step explanation:
We have been given the function:
We have to find f(-2)
That means put x= -2 in the given function we get:
After simplification we will get:
After further simplification we will get the required result:
Hence, ƒ (-2) is 14
¿ Qué porcentaje de 70 es 35?
Answer:
Step-by-step explanation:
50% mi amigo
PLEASE HELP ME SIMPLIFY THIS PLEASE SHOW WORK TO! THANK YOU! 5.3x - 9 + 7.6x
Answer:
12.9x-9
Step-by-step explanation:
5.3x-9+7.6x
5.3x+7.6x = 12.9x
=12.9x-9
Evaluate this expression when p = 4 and q = -2:
4(√p+q²)
A. 4
B. -8
C. 12
D. 24
Answer:
24
Step-by-step explanation:
Dracula has 48 pieces of candy. He gave ⅓ of his candy to his friend and 25% of his candy to his cousin. How many pieces of candy does Dracula have left?
Answer:
Dracula will be left with 24 candies
Step-by-step explanation:
The given problem is of fractions and percentages.
Given that
Total pieces of candy = 48
Now as it is mentioned that Dracula gives 1/3 of his candies to his friend, wee have to find the one third of the total pieces of candies first.
[tex]one-third\ of\ candies = \frac{1}{3} * 48\\= 16[/tex]
Dracula will be left with:
[tex]Candies\ left = Total\ candies - one\ third\ of\ candies\\= 48-16 = 32[/tex]
Dracula will be left with 32 candies after giving one third to his friend.
Now he gives 25% of remaining to his cousin
So,
[tex]25\%\ of\ 32\\= \frac{25}{100}*32\\=8[/tex]
Dracula will be left with: 32-8 = 24 candies
Hence,
Dracula will be left with 24 candies
5 times a number increased by 4 is at least
nineteen
Answer:
5(x+4) ≥ 19
x ≤ -1/5
Step-by-step explanation:
5(x+4) ≥ 19
5x + 20 ≥ 19
5x ≤ -1
x ≤ -1/5
Help me with this please
Answer:
101.5m left to use after the big top goes up.
Step-by-step explanation:
18*10=180 [tex]\pi[/tex]r[tex]x^{2}[/tex]= 3.14*5^{2}=3.14*25=78.5
180-78.5= 101.5m
PLS HELP DONT ANSWER IF YOU DONT KNOW ALSO I WILL MARK BRAINLIEST
Write the missing number to make the fraction equivalent.
Answer:
the number is 30.
Step-by-step explanation:
Look at the denominators, 6 and 36.
6 x 6 = 36, so....
We multiply the 5 on top by 6 as well
5 x 6 = 30
So, the number is 30.
hope this helped!
Answer:
30/36
Step-by-step explanation:
6. What is an equation of the line that passes
through the point (2, 4) and is perpendicular to
the line whose equation is y = 2x + 1?
Answer:
Using the slope-intercept form, the slope is 2 2 .
Step-by-step explanation:
The equation of a perpendicular line to y=2x+4 y = 2 x + 4 must have a slope that is the negative reciprocal of the original slope.
Boden’s account has a principal of $800 and a simple interest rate of 3.3%. Complete the number line. How much money will be in the account after 4 years, assuming Boden does not add or take out any money?
There are 33 students in your class. Yesterday, 9 students were absent. What decimal represents the students were absent? *
Answer:
27.27% of the class was absent
Step-by-step explanation
James went to the store and bought a pair of shoes on sale for $40.00. This week they were a regular price of $64.50. What was the percent discount that he bought the shoes for?
I need work shown.
Answer:
A. 62%
Step-by-step explanation:
64.50x = 40
x = 0.62015 or 62%
This means 62% of original price is $40, discount is 38%. From your options seem to be asking for percent of original price paid and not discount.
1979 to 2020 is how many years
What I Know (Pre-Test)
Click the pin
I am still grade 5
Okay I ned high age so I can get in Brainly ph
Dis is my 3/5 account
Answer:
1. 1/7 x 7/1= 1
2. 5/9 x 9/5= 1
3. 23/11 x 11/23= 1
4. 13/61 x 61/13= 1
5. 8/9 x 9/8= 1
Explanation:
when finding the reciprocal of a fraction, the numerator becomes the denominator, and the denominator becomes the numerator. keep in mind that when you multiply a fraction by its reciprocal, it will always equal 1.
How to simplify this equation?
Answer:
10/9 + [tex]\frac{1}{3} \sqrt{10}[/tex] i
Step-by-step explanation:
([tex]\frac{1}{3} \sqrt{5}[/tex] - [tex]\frac{1}{2} \sqrt{2}[/tex]i) ² =
([tex]\frac{1}{3} \sqrt{5}[/tex] )² + 2([tex]\frac{1}{3} \sqrt{5}[/tex] [tex]\frac{1}{2} \sqrt{2}[/tex])i - ([tex]\frac{1}{3} \sqrt{5}[/tex]i) ² =
5/9 + [tex]\frac{1}{3} \sqrt{5}[/tex] [tex]\sqrt{2}[/tex] i - (5/9. (-1)) =
10/9 + [tex]\frac{1}{3} \sqrt{10}[/tex] i
mumbai is 845 km away from bangalore whats that distance in cm
A jar of 26 dimes and quarters has a value of $3.50. How many of each
type of coins are there?
Answer:
6 quarters and 20 dimes
Jimmy earns money for babysitting his little
brother. He earns the same amount every
week. He is saving all the money he earns for a
summer trip. The table shows how Jimmy's
savings have been growing.
(PLZ help)
Which of the following expressions represents the value, in dollars, of a certain number of dimes, d, and pennies, p?
0.01d + 0.10p
0.10d + 0.01p
0.11dp
0.11d + p
Answer: The answer should be 0.10d + 0.01p
Step-by-step explanation: please give brainliest :)
Can someone help with this problem? ASAP