Answer:
we can conclude that:
[tex]3x^3\:-\:12xy^2=3x\left(x+2y\right)\left(x-2y\right)[/tex]
Step-by-step explanation:
Given the expression
[tex]3x^3-12xy^2[/tex]
Let us factorize the expression
[tex]3x^3-12xy^2[/tex]
Apply the exponent rule: [tex]a^{b+c}=a^ba^c[/tex]
[tex]3x^3\:-\:12xy^2=3xx^2-12xy^2[/tex]
Rewrite 12 as 4 · 3
[tex]=3xx^2-4\cdot \:3xy^2[/tex]
Factor out the common term 3x
[tex]=3x\left(x^2-4y^2\right)[/tex]
[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
[tex]=3x\left(x+2y\right)\left(x-2y\right)[/tex]
Therefore, we can conclude that:
[tex]3x^3\:-\:12xy^2=3x\left(x+2y\right)\left(x-2y\right)[/tex]
I need help with my math homework please help
Answer:
10.63. I think this is correct
Answer:
√113
Step-by-step explanation:
Pythagorean Theorem : a^2 + b^2 = c^2
8^2 + 7^2 = c^2
64 + 49 = 113 = c^2
√113 = c
Benjamin bought 4 goldfish. Each goldfish cost $1.29. How much did Benjamin spend?
this time pls help me oh god pls help me .
Answer:
5.16
Step-by-step explanation:
dude
Factor the following polynomial by factoring out the GCF.
6x4y2 – 9xy + 12x
what is the slope of the line that passes through the pair of points. (1,7) , (10 ,1)
Answer:
this is required answer.
Is the slope of the linear function constant? Explain.
Answer:
Yes. When a function is linear, it means that it will always be a straight line. For this to hold true, the slope must always be constant.
Step-by-step explanation:
Eduardo takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the piece of paper is 45 centimeters long and 60 centimeters wide, how long is the diagonal cut that Eduardo made?
Given:
Length of sheet of paper = 45 centimeters
width of the sheet of paper = 60 centimeters
To find:
The length of the diagonal cut that Eduardo made.
Solution:
We know that, a sheet of paper is a rectangle.
Diagonal of a rectangle is
[tex]Diagonal=\sqrt{length^2+width^2}[/tex]
Putting length = 45 and width = 60, we get
[tex]Diagonal=\sqrt{(45)^2+(60)^2}[/tex]
[tex]Diagonal=\sqrt{2025+3600}[/tex]
[tex]Diagonal=\sqrt{5625}[/tex]
[tex]Diagonal=75[/tex]
Therefore, the length of the diagonal cut that Eduardo made is 75 centimeters.
what is the equation of the line that is perpendicular to 3x -6y =2 and contains the point (-2,--5)
Answer:
y=-2x-12
Step-by-step explanation:
first, putt 3x-6y=2 in standard form:
subtract 3x from both sides: -6y=-3x+2
divide both sides by -6 to isolate y: y=1/2x-1/3
if the other line is perpendicular to this, you must find the slope by finding the opposite reciprocal of 1/2x: -2
now we have 2 points a slope, so we use the point-slope formula: y-y1=m(x-x1)
y+2=-2(x+5)
Use the distributive property: y+2=-2x-10
subtract 2 for both sides to isolate y: y=-2x-12
Which transformations could have taken place? Select two options. R0, 90° R0, 180° R0, 270° R0, –90° R0, –180°
Answer:
The answer is "[tex]R_0, 270^{\circ}\ and \ R_0, -90^{\circ}[/tex]"
Step-by-step explanation:
Please find the complete and correct question in the attached file.
The rule of rotating the origin is: [tex]270^{\circ} \ is\ (x,y) \to (y, -x)[/tex]
[tex]\therefore \\ \to (x, y) = (0,5)\\\\\to (y,-x)= (5,-0)= (5,0)\\\\R_0, 270^{\circ}\\[/tex]
So, the clockwise rotation is [tex]90^{\circ}[/tex] about origin changes [tex](x, y) \to (y, - x)[/tex]
[tex]\therefore\\\to (0, 5) \ changes \ are (5,0)\\\\R_0, -90^{\circ}[/tex]
Answer:
c and d
Step-by-step explanation:
Find the nature of the root of
quadratic equation x² - 6x +9=0?
Answer:
(x-3)(x-3)
Step-by-step explanation:
x -3
x -3
1. X-7=-26
2. 11=x+ 5
TYSM
Answer: 1: X = − 19
2:x = 6
Step-by-step explanation:
Answer:
[1] x = -19
[2] x = 6
Explanation:
x - 7 = -26Add 7 to both sidesx - 7 + 7 = -26 + 7
Simplifyx = -19
11 = x + 5Switch sidesx + 5 = 11
Subtract 5 from each sidex + 5 - 5 = 11 - 5
Simplifyx = 6
Write the equation for a graph that shifts right 9.
Answer:
y=x-9
Step-by-step explanation:
If the store bought a guitar for $45, what will be its store price
Answer: increase
Step-by-step explanation: are there numbers to choose from....? The number would be greater than 45 because businesses wanna make more money .
EX-- if they bought it for 45 they could make it $50 to make a profit of $5.
Hope this helped if sooooo make brainly plzzz
Select the student who reads the fastest (greatest number of words per minute)
Solve the quadratic equation by completing the square.
x²-18x+75=0
First, Choose the appropriate form and fill in the blanks with the correct numbers.
Then, Solve the equation. Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas.
Form:
1. (x + _)² = _
2. (x - _)² = _
Solution: x = _
Fill in the underscores with correct values, Show work in full please
Answer:
11.45, 6.55
Step-by-step explanation:
x²-18x+75=0
x²-2*9x+ 9*9+75=9*9
(x-9)²=81-75
(x-9)²=6
X-9=+/-2.45
X=11.45 OR X=6.55
Write an equation
in SIF from the table.
X
3
-4
2
6
9
8
Answer:
the question is only this much or there are the another question too
Find the volume of a pyramid with a square base, where the side length of the base is 16\text{ ft}16 ft and the height of the pyramid is 10.6\text{ ft}10.6 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
The volume of the pyramid with a square base V = 904.53 ft³
Step-by-step explanation:
Step(i):-
The length of the pyramid = 16 ft
The width of the pyramid = 16 ft
The height of the pyramid = 10.6ft
Step(ii):-
The volume of the pyramid with a square base
[tex]V = \frac{1}{3} a^{2} h[/tex]
[tex]V = \frac{1}{3} (16)^{2} (10.6)[/tex]
V = 904.53 ft³
Final answer:-
The volume of the pyramid with a square base
V = 904.53 ft³
Answer:
904.5
Step-by-step explanation:
Given the equation
(the picture) which of the following represents y in terms of X?
(also in picture)
Answer:
D= 81/x I think this is the ans
The formula for continuously compounded interest on a principal investment Pat a given interest rater
over time tin years is given by A = Per? You have deposited $12,000 in an account that pays 4.15%
interest, compounded continuously. How long will it take for your initial investment to grow six times its
original worth? Round your answer to the nearest tenth.
Answer:
43.2 years
Step-by-step explanation:
The formula for continuously compounded interest on a principal investment Pat a given interest rater
over time tin years is given by A = Pe^rt
P = Initial amount compounded = $12000
A = Amount compounded continuously after t years = six times it's original worth
= 6 × $12,000 = $72000
r = Interest rate = 4.15%
t = time in years = ?
Making t the subject of the formula
t = ln(A/P) / r
First, convert R percent to r a decimal
r = R/100
r = 4.15%/100
r = 0.0415 per year,
Then, solve our equation for t
t = ln(A/P) / r
t = ln(72,000.00/12,000.00) / 0.0415
t = 43.175 years
Approximately t = 43.2 years
The time required to get a total amount of $ 72,000.00 from compound interest on a principal of $ 12,000.00 at an interest rate of 4.15% per year and compounded continuously is 43.2years.
Susan had $120 and Patrick had twice as much money as her at first. Susan received some money and Patrick spent some money. The amount Susan received was 3 times as much as the amount Patrick spent. They had the same amount of money in the end. How much did Susan receive ?
At first Patrick had twice of Susan.
Hence,
He have 2 × 120 = $240
Let the money received be x
x + 120 = 3(240 - x)x + 120 = 720 - 3x3x + x = 720 - 1204x = 720 - 1204x = 600x = 600/4x = 150[tex]\therefore \bold{Susan \: had\:received \: 150\$}[/tex]
Thomas earns 15 mowing lawns over 3 days. How much money would he earn in 4 days if he earned the same amount every day
Answer: 20 Dollars
Step-by-step explanation:
15 divided by 3 is 5. So, then multiply 4x5 and that equals 20
Answer:
$20
Step-by-step explanation:
$15 for mowing lawns for 3 days
15 / 3 = 5
He charges $5 for each lawn he mows.
5 * 4 = 20
So for 4 days he would earn $20 from mowing the lawns
Find the volume of a rectangular pyramid with length 11 m, width 7 m, and height 8 m. Round to the nearest tenth, if necessary.
1/3 times area of base times height
1/3 x (11x7) x 8
1/3 x 77 x 8
Answer is approximately 205.3
Brainiest if I'm correct, thanks!Brian bought a coat at 5% off of the original price of $60. Which process can Brian use to find the amount of his discount?
Answer:
Not sure which "process" it is. But discount amount is $3 (new price would be 57)
Step-by-step explanation:
Equation would start with 5% x 605% would be equivalent to the fraction 5/100Take 5/100 and multiply 60(60 x 5)/100 = 3 <-- discount amountTake $3 off $60 and the new price is $57What is the simplified form of [tex]3\sqrt135[/tex]
Helppppppp my iPad is almost deadddd
Answer:
Step-by-step explanation:
Here you go mate
Step 1
6+2-(-1)+(-8) Equation/Question
Step 2
6+2-(-1)+(-8) Remove parenthesis
9-8
Step 3
9-8 Add them
answer
1
Hope this helps
Answer:
Step-by-step explanation:
I can help
Step 1
6+2-(-1)+(-8) Simplifying
Step 2
6+2-(-1)+(-8) multiply
8-(-1)-8
9+(-8)
9-8
Step 3
9-8 Then you add
Answer
1
Hope this helps
You get in an elevator and ride down 5 floors. You realize you forgot something, so you stay on the elevator and ride back up 5 floors. Which expression represents the number of floors you are from your original position?
answers -5+5
Answer:
(0 - 5) + 5
Step-by-step explanation:
Picture the initial floor you were on in the beginning as ground level or "zero." you go down five floors- so youre going below zero, which would be a negative. However, because you are going back up those five floors, you are back on ground level. Thus, the answer would be zero.
Jorge’s printer can print 24 pages in 18 minutes. How many pages can it print in 34 hour?
hint: 34 hour is how many minutes
pages.
im in 7 grade
Answer:
it 46
Step-by-step explanation:
Solve -7y=42
What is y?
Answer:
Step-by-step explanation:
-7y=42
we have to divide by 7
-y=6
multiply by -1
y=-6
Answer:
y=-6
Step-by-step explanation:
divide by -7 on both sides.
Let f(x) = 5x – 3 and g(x) = 2x². Perform the function operation and then find the domain of the result.
(f+g)(x)
(f+g)(x) = (Simplify your answer.)
Answer:
(f+g)x= 2x²+5x-3
The domain x∈ Real number.
Step-by-step explanation:
Given that f(x) = 5x - 3 and g(x) = 2x²
(f+g)x = f(x) + g(x)
So, by using the given function
(f+g)x= (5x-3) + (2x²)= 2x²+5x-3
As the result, 2x²+5x-3, is a polynomial, so domain of the result is all the real numbers.
Skye needs $17,150 for each year of college. She will receive $4300 in scholarships and grants each year, and she will earn $2100 each year through a work study program. Including her financial aid, what is Skye's estimated cost per year?
Answer:
$10750
Step-by-step explanation:
Given data
Total amount Skye needs= $17,150
We are told that each year She will receive $4300 in scholarships
and She will earn $2100 each year
Each year She will get= 4300+2100= $6400
Hence the deficit is = 17150-6400= $10750
Therefore the estimate cost she will have to pay per year is $10750
George father spent one hour and 40 minutes working on his truck if he started working on it at 5:35 would he would have finished at 7:15
Answer: yes
Step-by-step explanation: 5 hours and 35 minutes plus one hour and 40 minutes = 7 hours and 15 minutes
pls thank and rate!
