Answer:
[tex](a-b)^3 = a^3 - b^3 - 3a^2b + 3ab^2\\\\a = 3x, \ b = 1\\\\(3x-1)^3 = (3x)^3 - (1)^3 - 3(3x)^2(1) + 3(3x)(1)^2\\\\[/tex]
[tex]= 27x^3 - 1-3(9x^2)+ 9x\\\\=27x^3 -27x^2 +9x -1[/tex]
The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.
We have,
To expand the function f(x) = (3x - 1)³, we can use the binomial expansion formula, which states:
(a + b)³ = a³ + 3a²b + 3ab² + b³
In this case,
a = 3x and b = -1.
Substituting these values into the formula, we get:
[tex](3x - 1)^3 = (3x)^3 + 3(3x)^2(-1) + 3(3x)(-1)^2 + (-1)^3[/tex]
Simplifying further:
(3x - 1)³ = 27x³ - 9x³ + 9x - 1
Therefore,
The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.
Learn more about functions here:
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what is 13 over 4 multiplied by 3 over 2
Answer:
so this is the correct answer right
Answer:
[tex]\frac{39}{8}[/tex]
Step-by-step explanation:
Multiply the numerators: [tex]13*3= 39[/tex]
Multiply the denominators: [tex]4*2=8[/tex]
Final answer: [tex]\frac{39}{8}[/tex]
It is in simplest form, by the way.
what is the answer to −5/12−3/10
Answer:
The answer is -0.71666666666 in decimal form.
In fraction form it is -43/60.
Step-by-step explanation:
If x= -2, then what’s
4+x
——
3x
Answer:
a). 2 b). -6
Step-by-step explanation:
4+x
4 + (-2)
= 2
3x
= 3(-2)
= - 6
Answer:
Exact Form: [tex]-\frac{1}{3}[/tex]
Decimal Form: -0.333...
what is the volume of a cube that has a height of 10 inches.
Find the area of a circle with a radius of 8.
Either enter an exact answer in terms of 7 or use 3.14 for 1 and enter your answer as a decimal.
units2
Answer:
A = 64 pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 8
A = pi * 8^2
A = 64 pi
Dr. Porterfield has a choice of bread (pink, purple), meat (ham, turkey, beef) and Cheese (American, Swiss, Portugues, Japanese) at a sandwich shop. What is the probability he will select a sandwich on purple bread with either beef or turkey and has Japanese cheese
Answer:
The probability is 0.08[tex]\overline 3[/tex]
Step-by-step explanation:
The choice of bread Dr Porterfield has = Pink, purple
The number of types of breads = 2
The choices of meat = Ham, turkey, beef
The number of types of meat = 3
The choice of cheese = American, Swiss, Portuguese, Japanese
The number of types of cheese = 4
The probability of selecting purple bread from pink or purple = 1/2
The probability of selecting beef or turkey from the 3 choices of meat = 2/3
The probability of selecting Japanese cheese from the fourvtypes of cheese = 1/4
Therefore, the probability he will select a sandwich on purple bread with either beef or turkey and has Japanese cheese = (1/2) × (2/3) × (1/4) = 2/24 = 1/12 = 0.08[tex]\overline 3[/tex]
Skyler has 20 comic books about the Avengers. He goes to the comic book
store and after he leaves, he now has 26 Avengers comics. What is Chris'
percent increase in Avenger comics? *
Answer:
6%
Step-by-step explanation:
will give brainlist, pls help lol
Answer:
D, 144
Step-by-step explanation:
Find x first by solving 9x+27=6x+66, and plug x in to the angle RSL.
Please help me and if you can, could you please explain. Thank you :D
Answer: you said help so I’m not going to give the actual answer, just how to do it.
Step-by-step explanation:
You have to find the answer first. You work out the top and then you work out the bottom. Then divide the top by the bottom. YIU will get a number woth a power. The power is x that is your answer.
Answer:
Step-by-step explanation:
Andre currently runs a total of 12 Miles each week. he plans to increase the number of miles he runs each week by a 1.5 miles until he is running a total of 26 miles each week. how many weeks will it take Andre to reach his goal?
Answer:
1.5x+12=26
Step-by-step explanation:
Andy currently runs a total of 12 miles per week. He plans to increase that number by 1.5 miles, so number of miles increased in x weeks will be 1.5x and total number of miles ran in x weeks will be 1.5x+12.
Since Andy wants to reach a total of 26 miles per week, so we will equate the total number of miles ran in x weeks with 26.
Use the function p(x)=4x-3
what is p(3)
Answer:
9!
Step-by-step explanation:
Use the given functions to set up and simplify p ( 3 ) .
-barbara
Answer:
9
Step-by-step explanation:
p(x)= 4X-3
P(3)= 4×3-3=9
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
805
Step-by-step explanation:
it’s two different answers but i need help !!
Answer:
use this to help you determine your answer
Step-by-step explanation:
Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. ... and another pair of corresponding sides are equal in two right triangles.
i need help!! im struggling with this question
Answer:
1 gallon : 25.6 miles
Step-by-step explanation:
So, the way we can find the rate, or ratio between 2 units is to divide one unit by the other unit.
So basically, we see the first set of units is:
2 gallons - 51.2 miles
So basically, for every 2 gallons, there are 51.2 miles.
To find the ratio, or rate, we must find the miles per gallon.
We can do that by dividing both sides by 2:(g=gallons, m=miles)
2g/2=51.2/2m
=
g=25.6
So for every gallon, there is 25.6 miles.
We can write this as:
1 : 25.6
Hope this helps!
Answer:
25.6
Step-by-step explanation:
51.2/2=25.6
i will give brainliest!! please help me, i appreciate it !!
Answer:
-4050
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
6x²y³ - 2x + 10
x = 5
y = -3
Step 2: Evaluate
Substitute in variables: 6(5)²(-3)³ - 2(5) + 10Exponents: 6(25)(-27) - 2(5) + 10Multiply: -4050 - 10 + 10Add: -40502w^2-9w+3=-4w solve the equation for all real solutions
Answer:
w= 1
w= 3/2
Step-by-step explanation:
Jorge has saved $15.50. Janet saved 15 of the amount that Jorge saved. Rob saved 12 times as much as Janet. What is the total saved amount of all three?
Answer: 45.725 ( i think)
Step-by-step explanation: 2.325 + 27.9 + 15.50
Triangle JKL is similar to triangle MNO. Find the measure of side MN. Figures are
not drawn to scale.
L
O
2
J
K
1.4
M
N
0
Answer:
4.2
Step-by-step explanation:
If they're similar, the fraction between their sides need to be equal, so do this:
2/1.4 = 6/MN
6•1.4/2 = MN
MN = 4.2
−12 = 2 + 5v + 2v
help me plzzzzzzzzzzzz
Answer:
v = - 2
Step-by-step explanation:
Given
- 12 = 2 + 5v + 2v ( subtract 2 from both sides )
- 14 = 7v ( divide both sides by 7 )
- 2 = v
The marginal cost function for manufacturing perfume is given by c(x) = 7x + 28, where x is the product quantity. Find the change in the cost of perfume when the number of units sold changes from 2 to 10.
A.
$56
B.
$57
C.
$62
D.
$67
Answer:
A. $56
Step-by-step explanation:
the change of cost =
[7(10) + 28] - [7(2) + 28] = 98-42=56
please help its easy im just not smart enough to do it lma0
Answer:
20 feet
Step-by-step explanation:
66/3.3
it's twenty i dont know what else to say
Answer:
20m
Step-by-step explanation:
1m = 3.3ft
66 feet = 20m
Which expression would you use to determine the missing number in the sequence? 11, ____, 25, 32, 39
Jake draws A POR on the coordinate plane
A. 20.13 units
B. 19.42 unit
C. 18.71units
D. 18 units
A movie begins at 4:40 pm and it’s last 2 housers and 20 minutes
Answer: 7:00
Step-by-step explanation:
hope that helps
Find the volume.
A. 103 yd
B. 54 yd
C. 74 yd
D. 84 yd
Answer:
d. 84 yd
Step-by-step explanation:
[tex] \frac{1}{2} (12 + 36)(3.5) \\ \frac{1}{2} (48)(3.5) \\ \frac{168}{2} = 84[/tex]
Can anyone help me with this plz
Answer quickly!!!!!!!!!!
Answer:
-4/5
Step-by-step explanation:
Rise over run helps, since the line is negative the slop will be to. Just pick a spot that is whole/on the dot, and rise/fall as down or up until the next spot that's whole, then you 'run' over to the point. (Ex. (0,0) (5,4))
Niall has half dollar mary has a tenth of a dollar and jack has a hundredth of a dollar if they combine their money do the 4 students have more or less than a dollar
Answer: Students have less than a dollar.
Step-by-step explanation:
Niall has $1/2
Mary has $1/10
Jack has $1/100
Add these up to see if they reach 1.
= 1/2 + 1/10 + 1/100
Convert to decimals by dividing the numerator by the denominator:
= 0.5 + 0.1 + 0.01
= $0.61
Students have less than a dollar.
x) sec’A + cosec?A
secA. cosecA
Answer:
(Sin A + Cos A)/Sin A. Cos A
Step-by-step explanation:
As we know
Sec A = 1/Cos A
and Cosec A = 1/Sin A
Given Equation
Sec A + Cosec A
Substituting the given values, we get -
1/cos A + 1/Sin A
(Sin A + Cos A)/Sin A. Cos A