Given:
The equation is:
[tex](2x+3y)(2x-3y)=4x^2+6y^2[/tex]
To find:
The error in the given equation and correct it.
Solution:
We have,
[tex](2x+3y)(2x-3y)=4x^2+6y^2[/tex]
Taking left-hand side, we get
[tex]L.H.S.=(2x+3y)(2x-3y)[/tex]
[tex]L.H.S.=(2x)^2-(3y)^2[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
[tex]L.H.S.=(2)^2(x)^2-(3)^2(y)^2[/tex] [tex][\because (ab)^x=a^xb^x][/tex]
[tex]L.H.S.=4x^2-9y^2[/tex]
It is not equal to right-hand side [tex]4x^2+6y^2[/tex]. In the right hand side, there must be a negative sign instead of positive sign.
Therefore, [tex](2x+3y)(2x-3y)=4x^2-6y^2[/tex].
17 points Please help me with the answer and understanding
•Please actually help me out I want to better understand this
•trolls will be reported
Because the graph is starting high and going down, your answer is c- exponential decay
Answer:
This is exponential decay.
Step-by-step explanation:
Lets break down the answers:
A: Linear Growth. Well, we can eliminate this because the line is going down, its decay. Also, linear means line, a straight line.
B: Exponential Growth. This might work, but then again, it says *growth* not decay. Exponential is correct because as the values get bigger and bigger, the line curves.
C: Exponential Decay. Yes! This is exactly what we need. Exponential because of the curve... and of the decay.
D: Linear Decay. No, linear, again, is for lines. But now, we have already eliminated it because it says linear.
If f(x) = (x+1)-1
and
g(x) = x–2, what is the domain of Rx) = g(x)?
Step-by-step explanation:
f is (x+1)-1
and g (the next letter in the alphabet) is x-2
first for f
x+1-1 = x
Then we -2 for g
So every letter there o words is just 2 less than the previous letter like
h would be h= x-4
so r(x) is g which is x-2 and x which would have to be the remaining amount to get to the number
Moesha cuts a spherical orange in half along a great circle. The radius of the orange is
2 inches. Find the approximate total volume of the orange to the nearest tenth of a cubic inch
The nearest tenth, the total volume of the orange is approximately 33.5 cubic inches.
To find the volume of a sphere, we use the formula:
[tex]Volume = (4/3) \times \pi \times radius^3[/tex]
Given that the radius of the orange is 2 inches, we can substitute this value into the formula:
[tex]Volume = (4/3) \times 3.14 \times 2^3[/tex]
Simplifying this calculation:
[tex]Volume = (4/3) \times 3.14 \times 8[/tex]
Volume = 33.49333333..
Note: To calculate the volume of a three-dimensional object, you need to know the appropriate formula based on the shape of the object.
Here are the formulas for calculating the volume of some common three-dimensional shapes:
Sphere: Volume[tex]= (4/3) \times \pi \times radius^3[/tex].
For similar question on sphere.
https://brainly.com/question/30722062
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Which is longer - the radius or the circumference of a circle?
Answer:
Circumference of a circle
Step-by-step explanation:
The circumference of a circle is longer than its radius of the circle.
Bharat has two identical ink pens with full ink. He used 3/4th of the ink from the first pen and 2/3rd of the ink from the second pen. What is the fraction of the ink remaining in the two pens together?
Answer:
0.58333333333 Or 0.58333333333/100000000000
Step-by-step explanation:
Which expression is equivalent to
Answer:
2 * x^10 * y^12
Step-by-step explanation:
when dividing by exponents with the same base, you subtract the exponent.
2. Which relations are functions? Explain. For each graph, state the domain and range.
Answer:
A. and C. neither of them have a repeating y value if you input a vertical line on the graph
Help this is confusing
Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Part A: Find the average rate of change of each section.
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other.
Please explain in detail, I am confused
Answer:
read the comments i cant help you yet but if you read the comments and do what they say then i can help you
Step-by-step explanation:
Given this number line, ab=
Answer:
3
Step-by-step explanation:
7 -4 = 3
2- La longueur d'un rectangle mesure 2 cm de plus que le triple de sa largeur. Si le périmètre de ce rectangle est supérieur à 12 cm, mais d'au maximum 48 cm, dans quel intervalle se situe la largeur de ce rectangle?
Answer:
5 < L < 18,5
5 < L < 18,52 < W < 5,5
Step-by-step explanation:
longeur = length = L
largeur = width = W
L = 3W +2
12 < 2L+2W < 48
———————————————
12 < 2*(3W+2)+2W < 48
12 < 6W+4 +2W < 48
12 < 8W+4 < 48
8 < 8W < 44
2 < W < 5,5
———————————————
12 < 2L+2W < 48
L = 3W +2
L - 2 = 3W
L/3 -2/3 = W
12 < 2L +2*(L/3 -2/3) < 48
12 < 2L + ⅔L -4/3 < 48
12 < 2⅔L -4/3 < 48
13⅓ < 2⅔L < 49⅓
5 < L < 18,5
hope it helps.
brainly exists in French too. brainly.fr or switch country in app
You have 88 grams of a radioactive kind of actinium. How much will be left after 44 years if its half-life is 22 years?
Answer:
22 grams
Step-by-step explanation:
loses 50% of it's mass per 22 years
so after 22 years the mass would be 44 grams
22 years later would leave 50% of 44 grams = 22 grams
A soccer ball has an original price of $40. But, the soccer ball is on sale and is now 30% off. How much money will you save?
Answer:
We would have saved $12.
Step-by-step explanation:
First off, we know that the original price is $40.
Since the ball is 30% off, we'll multiply $40 by 70% to find the price it's sold by after the discount. 70% in decimal form is 0.70, so we would multiply 40(0.70)
40(0.70) = 28
This means that after a 30% discount, the price of the soccer ball is $28.
To find how much we saved, we would subtract $28 from $40.
40-28 = $12
$12 is the amount of money you saved.
Mr. Barnes painted a mural on the office wall.
The rectangular mural is 36 inches long and 24
inches wide. What is the area of the mural?
Answer:864
Step-by-step explanation:
36*24=864
The volume of a rectangular prism is 840 in3. If the area of the base 60 in2 , find its height. Draw and label a model to show your thinking.
Answer:
14in
Step-by-step explanation:
Given data
Volume of prism= 840in^3
Base= 60 in^2
Height=????
The expression for the volume is given as
V= L*B*H
V= Area*H
840=60*H
Divide both sides by 60
H= 840/60
H= 14 in
Hence the height is 14in
Can someone help me on number 5!!!
f(x).g(x)
(2x-1).(3)
answer: 6x-3
P(x)=1−2x2+3x+2x5 what type of polynomial is this?
4) Determine the solution. Show your work.
17 + x2 = 42
================================================
Work Shown:
17 + x^2 = 42
x^2 = 42-17
x^2 = 25
x = sqrt(25) or x = -sqrt(25)
x = 5 or x = -5
What is the inverse function of f(x) = x/x-2
The Answer is A because it's Marie and I have been working with the other kids Jimmie I know I did it
Find the measure of DAE
I need help can anyone help me
Answer:
480 in^3
Step-by-step explanation:
If I'm wrong please correct me. I used the formula-lwh for each of the figures and then added them to find the sum.
Larger figure: 8 times 10 times 5
80 times 5=400
Smaller figure: 5 times 4 times 4
20 times 4=80
400 plus 80 equals 480 in^3
Hope I helped :)
The price of a car is currently 120,000$. The price of the car decreases annually by 2.5%. What is the price of the car after 8 years?
Answer:
97,988.216
Step-by-step explanation:
So, we can find this by using the following formula:
First value(change)^time
We know that the orginal, or first value, is 120,000.
We know that the time interval for this is 8 years, which is our time value.
We know that the decrease in this price is 2.5%. However, this is not our change.
Our change is the 97.5% price that is left.
This makes sense, because you would get a super small price when you use 2.5% as change.
So to sum up what we have done so far:
First value - 120,000
Change - 100%-2.5% = 97.5%. In decimal form: 0.975
Time - 8
So lets plug these into:
[tex]First_.value(change)^t^i^m^e[/tex]
=
[tex]120,000(0.975)^8[/tex]
And remember your order of operations here.
We dont have any equations or expressions inside the parethese, so we can move on to what comes next - exponents.
We have the exponent 8, which is attached to the 0.975.
So in your calculator, take 0.975, and put it to the 8th power.
You should get 0.816651803662261962890625
Lets leave it like this, becuase 120,000 is a very large value, and rounding what you multiply could change what you get in the end.
Now our equation looks like:
120,000(0.816651803662261962890625)
We have done parethese, exponents - now we have multiplication and division.
We do indeed have this, since 120,000(0.816651803662261962890625) could also be written as:
[tex]120,000*0.816651803662261962890625[/tex]
Now multiplying this you should get:
97,998.216439471435546875
This is where you can round your answer.
I do not know what exactly they want you to round to, so its safe to just round your answer to the hundreths place:
97,998.22
So this is the new price of the car!
Hope this helps!
oh I did a mistake earlier , pardon ^^"
Current price (Pₒ) = 120, 000 $Rate of Depreciation (R) = 2. 5% Total Time = 8 yearsLet price after 8 years be P.
Using the compound interest formula of shrinking principal :-
P = Pₒ( 1 - R/ 100) ᵀ
P = 120, 000 ( 1 - 2.5/ 100)ᵀ
P = 120, 000 { (100 - 2.5)/ 100}ᵀ
P = 120, 000{ 97. 5/ 100 }ᵀ
P = 120, 000 {0. 975 } ⁸
P = 120, 000 { 0. 8166}
P = 97,998.216 $
Since, P is is price after 8 years
Answer:-The price of the car after 8 years will be 97, 998. 216 $
a rectangle has the height of n^3 + 4n^2 and the width of n^3 + 5n^2
Answer:
2^3
Step-by-step explanation:
Help if you can. Thank You.
Answer:
[tex]Given:-[/tex] Δ ABC
[tex]AC~is~exteuded ~through ~C~to ~D[/tex]
[tex]BC~is ~drawn ~to ~AC[/tex]
[tex]Using ~Triangles~Exterior~angle~theorm,[/tex]
1) =∠3+∠4 and ∠4=∠5+∠6
∠7=∠3+∠2
So, only D) m∠7=m∠3+m∠2 is correct
---------------------------
hope it helps..
have a great day!!
Jasmine bought a new IPhone for $1000. The value of the phone depreciates 9% each year. What will the phone be worth after 4 years?
What is the surface area of the regular pyramid below? 19 16 16
A. 864 units²
B. 856 units²
C. 756 units²
D. 952 units²
Answer:
A. 864 units²
Step-by-step explanation:
(16×16)+(4×½×16×19)
= 256 + 608
= 864
The surface area of the regular pyramid is S = 864 units²
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
Let the surface area of the pyramid be S
Now , let the base area of the pyramid be B
where the side length of the pyramid is a = 16 units
So , B = 16² units² = 256 units²
And , let the height of the pyramid be h = 19 units
And , the perimeter of the pyramid P = 4 x 16 = 64 units
So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
On simplifying , we get
S = 256 + ( 1/2 ) ( 64 x 19 )
S = 256 + 608
S = 864 units²
Hence , the surface area is 864 units²
To learn more about surface area of pyramid click :
https://brainly.com/question/15050758
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plss Pa answer po!!!!!!!!!!!!!
Equation 1: 12-x=5 (Answer is 7)
Equation 2: 60-x=25 (Answer is 35)
Answer:
ronalyn has 7 oranges
7 + 5 = 12
aurthur has Php 35.00
25.00 + 35.00 = 60.00
hope it helps u..
Brainliest goes to whoever answers correctly I have other questions if you want more points
Answer:
C
Step-by-step explanation:
Find the graph that shows temperatures decreasing. Two of the graphs show that it's decreasing; C and D. When something is in a constant rate, it is going to be a straight line (doesn't mean it can't be slanted!). Therefore it is C.
−3x + 3 < 6 can someone help
Answer:
X > -1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x < -1
Step-by-step explanation:
1) Isolate the variable by dividing each side by factors that don't contain the variable.
What is the length of the apothem if each side of the hexagon is 4 in long? I will reward brainliest to best answer :))))