Given:
Consider the function is
[tex]f(x)=\dfrac{3x+2}{x}[/tex]
To find:
The inverse of the function, .i.e., [tex]f^{-1}(x)[/tex].
Solution:
We have,
[tex]f(x)=\dfrac{3x+2}{x}[/tex]
Putting f(x)=y, we get
[tex]x=\dfrac{3y+2}{y}[/tex]
Isolate the variable y.
[tex]xy=3y+2[/tex]
[tex]xy-3y=2[/tex]
[tex]y(x-3)=2[/tex]
[tex]y=\dfrac{2}{x-3}[/tex]
Putting [tex]y=f^{-1}(x)[/tex], we get
[tex]f^{-1}(x)=\dfrac{2}{x-3}[/tex]
Therefore, the inverse function is [tex]f^{-1}(x)=\dfrac{2}{x-3}[/tex].
X is less than or equal to-86
Answer:
x≤-86
Step-by-step explanation:
Please make it correct..I need to pass this...
Answer: The next fraction in the sequence will be 5/20.
Step-by-step explanation:
9/20 is the first fraction.
2/5 is equal to 8/20, so that is the second fraction.
7/20 is the third fraction.
3/10 is equal to 6/10, so that is the fourth fraction.
By now we can see that there is a pattern, because the first fraction's numerator began with 9, the next 8, then 7, and 6. We also simplfied all he fractions so that they had the denominator 20. Because of this, the next fraction in the sequence will be 5/20.
the diagram shows nine identical squares inside a rectangle
Answer:
it is the fourth one it is your answer
Answer: width = 15
Step-by-step explanation:
6 x 3 = 18
5 x 3 = 15
The previous balance on Hector Todd's savings account is $618.21. He has $4.31 in
interest, $466.26 in deposits, and $10.10 in withdrawals. What is his new balance?
$1,068.78
$1,078.68
O $1,178.68
$1,078.90
Answer:
$1,078.68
Step-by-step explanation:
Here, we want to calculate the balance
That would be adding interest plus deposit plus balance minus withdrawals
That would be;
618.21 + 466.26 + 4.31 - 10.10 = $1,078.68
1/4 : 10 = x : 4 solve for x
Answer:
Step-by-step explanation:
1/4 :10=1/40
1/40=x/4
x=4/40=1/10
Carter bikes 1/4 mile in
5/6 minutes. At this rate, how many minutes does it take Carter to bike 1 mile?
Answer:
If Carter bikes 1/4 mile in 5/6 minutes, he bikes 1/4 mile in 50 seconds. (5/6 of a minute is equal to 50 seconds)
At this rate, if Carter bikes 1/4 mile in 50 seconds, he will be able to bike 2/4 of a mile in 100 seconds, 3/4 of a mile in 150 seconds, and a whole mile (4/4) in 200 seconds.
Converting 200 seconds to minutes, we have that it takes Carter 3 1/3 minutes to bike 1 mile.
Let me know if this helps!
POSSIBLE POINTS: 33.33
Tyler can complete his Algebra Il project in 2.5 hours, but if he works with Luke they can finish in 1.5 hours. How long would it take Luke to finish the
project on his own?
Tell whether the sequence is arithmetic. If it is what is the common difference? 1, 9/10, 4/5, 7/10
Answer:
the answer is D
Step-by-step explanation:
The common difference of the arithmetic sequence 1, 9/10, 4/5, 7/10 is -1/10.
What is arithmetic sequence ?An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.
The given arithmetic sequence is,
1, 9/10, 4/5, 7/10
The first term of the sequence a = 1
The common difference of the arithmetic sequence is the difference between two consecutive terms.
d = 9/10 - 1
d = - 1/10
The common difference of the given arithmetic sequence is - 1/10.
To learn more about Arithmetic sequence on :
https://brainly.com/question/1452631
#SPJ5
If the side lengths of a cube are 16 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form? 16 ⋅ 3 16 ⋅ 16 ⋅ 16 163 316
Answer:
16x16x16
Step-by-step explanation:
The reason why is because a cube has six squares that make up the cube. 6/2= 3. The answer is the same as 16 to the power of 3.
The circumference of a circle is 16Pi ft.
The radius is ft.
Answer:
the answer is 8 Pi
Step-by-step explanation:
just divide 16 by 2 because it's half of the diameter
Answer:
The answer is (8)
Step-by-step explanation:
I got it right on edge have a good day.
☆*: .｡. o(≧▽≦)o .｡.:*☆
4 years ago, the age of two sisters combined equal 24 years, and the younger sister was 8 years younger. How old are they today?
A school carnival sold 90 early-admission tickets and 810 regular tickets. What percentage of the tickets sold were early-admission tickets?
Answer:
11.12 %
Step-by-step explanation:
Given that,
There are 90 early admission tickets.
There are 810 regular tickets.
We need to find the percentage of the tickets sold were early-admission tickets.
[tex]P=\dfrac{90}{810}\times 100\\\\=11.12\%[/tex]
So, the required percentage is 11.12 %.
А
х+8
2х - 5
В
10
14
C
Answer: Option B
Step-by-step explanation:
Someone please help and please make sure the answer is right :(
Answer:
it's 11
Have a good day!!
Hey I need some help
Answer:
27
Step-by-step explanation:
It is an equilateral triangle, so all sides are 9 ft. 9*3=27.
Alejandro put down a deposit of $75.00 on a graduation ring, and he then began making weekly payments of $12.50 until the ring was fully
paid for.
If the price of the graduation ring was $225.00, how many weekly payments of $12.50 did Alejandro make?
Answer:
12 weekly payments
Step-by-step explanation:
Here, we want to get the number of weeks in which he made payment for the ring
We start by subtracting the deposit,
That would be;
225-75 = 150
Now, we proceed to divide what ie left by the weekly payment to get the number of weeks
That would be;
150/12.5 = 12
Answer:
12 weekly payments
Step-by-step explanation:
Here, we want to get the number of weeks in which he made payment for the ring
We start by subtracting the deposit,
That would be;
225-75 = 150
Now, we proceed to divide what ie left by the weekly payment to get the number of weeks
That would be;
150/12.5 = 12
Step-by-step explanation:
5x + 2(x + 7) = 14x – 7. Find x
a. 1
b. 2
c. 3
d. 4
5(z + 1) = 3(z + 2) + 11 Solve for Z
a. 2
b. 4
c. 6
d. 12
(x – 2) / 4 – (3x + 5) / 7 = – 3, x = ?
a. 6
b. 7
c. 10
d. 13
Answer:
1. x = 3
2. x = 6
3. not sure
Step-by-step explanation:
5x +2 (x+7) =14x -7
First expand the expandables
5x +2x +14 =14x-7
7x +14 =14x -7
14x -7x =14+7
7x=21 . Divide both sides by 7
x=3.
Step-by-step explanation:
1. 5x +2x + 2*7 =14x-7
7x + 14 = 14x - 7
14 +7 = 14x - 7x
21 = 7x
21/7 =x
4 =x
Here some math for you guys
Answer:
UNDEFINED
Step-by-step explanation:
I CACULATED IT ON A ADVANCED CACUALTOR ANY IT DOSENT SAY ANYHITNG LOL
Answer:
1.8
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x ≈ 1.78522264
x ≈ 1.8
Which expression is equivalent to ^3 square root of 54x + 3^3 square root of 2x, if x ≠ 0
Answer:
A
Step-by-step explanation:
[tex] \sqrt[3]{54x} + 3 \sqrt[3]{2x} = \\ = \sqrt[3]{2x \times 27} + 3 \times \sqrt[3]{2x} \\ = 3 \sqrt[3]{2x} + 3 \sqrt[3]{2x} = 6 \sqrt[3]{2x} [/tex]
The steps used to solve the equation 4x + 3 = 15 for x are shown below.
4 +3 = 15
Step I: 4 = 12
Step II: = 3
Answer:
4x + 3 = 15
4x=15-3
x=12/4
x=3
Un agricultor planta 720 naranjos, 250 matas de mandarina, 360 de mamon y 480 de níspero en el menor número posible de hileras, cada una con el mismo número de árboles, sin mezclarlos. A) ¿Cuántos arboles tiene cada hilera? B) ¿Cuántas hileras necesita?
Answer:
A) Se requiere 10 árboles por hilera.
B) El agricultor necesita 72 hileras de naranjos, 25 hileras de mandarinos, 36 hileras de mamoneros y 48 hileras de nísperos.
Step-by-step explanation:
A) A continuación, realizamos la descomposición factorial de cada número:
Naranjos
[tex]720 = 2 \times 2 \times 2 \times 2 \times 3\times 3\times 5[/tex]
[tex]720 = 2^{4}\times 3^{2}\times 5[/tex]
Mandarinos
[tex]250 = 2\times 5\times 5\times 5[/tex]
[tex]250 = 2\times 5^{3}[/tex]
Mamoneros
[tex]360 = 2\times 2\times 2\times 3\times 3\times 5[/tex]
[tex]360 = 2^{3}\times 3^{2}\times 5[/tex]
Nísperos
[tex]480 = 2\times 2\times 2\times 2 \times 2\times 3\times 5[/tex]
[tex]480 = 2^{5}\times 3\times 5[/tex]
El máximo común divisor de los cuatro números representa el número de árboles de cada hilera considerando el menor número posible de hileras, cuyo valor es [tex]2\times 5 = 10[/tex]. Se requiere 10 árboles por hilera.
B) El número de hileras por árbol se determina al dividir el total de cada tipo de árbol por el resultado del punto anterior:
Naranjos
[tex]x = \frac{720}{10}[/tex]
[tex]x= 72[/tex]
Mandarinos
[tex]x = \frac{250}{10}[/tex]
[tex]x = 25[/tex]
Mamoneros
[tex]x = \frac{360}{10}[/tex]
[tex]x = 36[/tex]
Nísperos
[tex]x = \frac{480}{10 }[/tex]
[tex]x = 48[/tex]
El agricultor necesita 72 hileras de naranjos, 25 hileras de mandarinos, 36 hileras de mamoneros y 48 hileras de nísperos.
Teniendo en cuenta la definición de m.c.m:
A) Se requieren 10 árboles por hilera.
B) El agricultor necesita 72 hileras de naranjos, 25 hileras de mandarinos, 36 hileras de mamoneros y 48 hileras de nísperos.
A) Para hallar la cantidad de árboles que posee cada hilera debes hallas el m.c.d entre 720, 250, 360 y 480.
El máximo común divisor, m.c.d., de dos o más números es el mayor número que divide a todos de manera exacta, es decir, es el mayor de los divisores que tienen en común dos o más números.
El mínimo común múltiplo se suele expresar con las siglas m.c.d. (a, b), siendo a y b los números.
Para calcular el mínimo común múltiplo de dos o más números, de debe descomponer los números en factores primos (son los números que sólo son divisibles por sí mismos o por el número 1). En este caso:
720= 2×2×2×2×3×3×5= 2⁴×3²×5
250=2×5×5×5= 2×5³
360=2×2×2×3×3×5= 2³×3²×5
480=2×2×2×2×2×3×5= 2⁵×3×5
El mínimo común múltiplo se obtiene escogiendo todos los factores comunes, elevados a la menor potencia. Es decir, se escoge aquellos factores que aparecen en todas las descomposiciones la menor cantidad de veces. En este caso:
mcd (720,250,360, 480)= 2×5= 10
Entonces, se requiere 10 árboles por hilera.
B) El número de hileras por árbol se determina al dividir el total de cada tipo de árbol por la cantidad de árboles que se requiere por hilera:
Naranjos: 720÷10= 72
Matas de mandarina: 250÷10= 25
Mamon: 360÷10= 36
Níspero: 480÷10= 48
El agricultor necesita 72 hileras de naranjos, 25 hileras de mandarinos, 36 hileras de mamoneros y 48 hileras de nísperos.
Learn more:
https://brainly.com/question/19756356?referrer=searchResultshttps://brainly.com/question/19129302?referrer=searchResultsYou have a bag of chocolate candy. Ten of them are red, 7 are brown, 12 are
green, and 9 ore blue. What is the probability that you pick a red candy, given that
you have already picked o red candy and have not replaced it?
Answer:A
Step-by-step explanation: 10/37
Someone help me with this question please I am confused
Answer:
x = 4, BC = 17
Step-by-step explanation:
AC = AB + BC , substitute values
7x - 3 = 2x + 3x + 5
7x - 3 = 5x + 5 ( subtract 5x from both sides )
2x - 3 = 5 ( add 3 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Then
BC = 3x + 5 = 3(4) + 5 = 12 + 5 = 17
I need help pls and thank you
7 (10pts) In △ABC, m∠B = 90°, m∠C = 15°, M ∈ BC . If m∠BAM = 60°, AM = 10 in. Find: AB and MC. B (5pts) Find MC. Answer: MC = in. SAVE ANSWER Need help with formatting? Next
Answer:
MC is 10 in.
Step-by-step explanation:
The given parameters for the triangle ΔABC are;
m∠B = 90°
m∠C = 15°
M ∈ BC
m∠BAM = 60°
AM = 10 in.
From the given information, ΔABC is drawn using Microsoft Visio, from which we have ΔACM
m∠CAM = 75° - 60° = 15° (By angle addition postulate)
m∠CAM = 15° = m∠C, therefore, ΔACM is an isosceles triangle with base angles, m∠CAM and m∠C each equal to 15°
AM = 10 in. = MC, by definition of isosceles triangle
∴ MC = 10 in.
For f(x) = 2x -1 what is f(5)?
Answer:
shuqhsuwbe
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
f(x)=2x-1
f(5)=2(5)-1=10-1=9
i need help with this
Answer:
His car is slowing down.
Step-by-step explanation:
During section C, the car decreased in speed (the slope is negative). This is the definition of 'slowing down', hence the answer.
Answer:
C. His car is slowing down.
Step-by-step explanation:
The slope is going downwards, so this means that he is going slower.
Simplify the following expression 3°?
Answer: 1
Anything to the 0 power is 1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
As you may already know, the number (the base) to the power (the exponent) is how many times you multiply the base. For instance:
3² = 3 * 3
3³ = 3 * 3 * 3
However, anything to the zeroth power is 1.
Why?
Well, for those above examples, take 3², you can also write it as:
3² = 1 * 3 * 3
It's just 1 times how many of that number. In 3 squared, there are twos 3's, not to be confused with 3 * 2.
In 3 to the zeroth power, there are zero 3's:
3° = 1
Now it has only the one.
This is just the way I was taught to think about it, but I'm sure there's a better explanation than mine.
I need help solving this problem, please respond as fast as you can.
-7 – 3x = 1x + 4(2 + x)
Answer:
x = -15/8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
-7 - 3x = 1x + 4(2 + x)
Step 2: Solve for x
Distribute 4: -7 - 3x = x + 8 + 4xCombine like terms: -7 - 3x = 5x + 8[Addition Property of Equality] Add 3x on both sides: -7 = 8x + 8[Subtraction Property of Equality] Subtract 8 on both sides: -15 = 8x[Division Property of Equality] Divide 8 on both sides: -15/8 = xRewrite/Rearrange: x = -15/8can you help me please
Answer:
x = 7
Step-by-step explanation:
The parameters of the triangle having bisected angle are;
The length of the opposite and adjacent side of one of the halves of the bisected angle = 6 and 14 respectively
The length of the opposite and adjacent side of the other half of the bisected angle = (3·x - 12) and 21 respectively
By the angle bisector theorem, we have;
[tex]\dfrac{14}{6} = \dfrac{21}{3\cdot x - 12}[/tex]
Simplifying, we get;
[tex]\dfrac{14}{6} = \dfrac{2 \times 7}{2 \times 3} = \dfrac{7}{3}[/tex]
[tex]\dfrac{21}{3\cdot x - 12} = \dfrac{3 \times 7}{3 \times (x - 4)} = \dfrac{7}{x - 4}[/tex]
[tex]\dfrac{7}{3} = \dfrac{7}{ x - 4}[/tex]
7 × (x - 4) = 3 × 7
∴ x - 4 = 3
x = 3 + 4 = 7
x = 7.