Step-by-step explanation:
an = 2n^2 - 3 · Anonymous. -1, 5, 15, 29, 47, ... an = 2 n^2 - 3.
The required nth term will be 2n² - 3 in the given quadratic sequence.
What are the sequences?Sequences are defined as an arrangement of numbers that is in a particular order.
The first 5 terms of a quadratic sequence are following as:
-1, 5, 15, 29, 47,
We have to determine the nth term of the given sequence.
As per the given question, we have
-1, 5, 15, 29, 47,
We can rewrite the above numbers in the sequence as
first term = -1 = 2(1)²-3,
second term = 5 = 2(2)²-3,
3d term = 15 = 2(3)²-3,
4th term = 29 = 2(4)²-3,
5th term = 47 = 2(5)²-3
Similarly, nth term = 2n² - 3
Therefore, the required nth term will be 2n² - 3 in the given quadratic sequence.
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In a quadrilateral ABCD, line AC = x + 6 and line BD = 2x-4. For what value of x Is ABCD a rectangle?
Answer:
x = 10
Step-by-step explanation:
The diagonals of a rectangle are the same length. This means ...
AC = BD
x +6 = 2x -4
10 = x . . . . . . . . add 4-x to both sides
The figure is a rectangle for x=10.
a recipe requires the following ingredients to make 16 gingerbread men
140g of flour
250g of sugar
80g of ginger
110g of butter
how much of each ingredient would you need to make 40 gingerbread men?
How do I work this out?
Answer:
5,600 g of flour
10,000g of sugar
3,200g of ginger
4,400g of butter
Just have to multiply each ingredient by 40
Which equation equals to 105
34+12*74=
12+1*56=
88+66-49=
34+61-7=
157-43+900
(Need an image if it’s gonna work!)
HELP ME PLEASEEE !!
DON'T GIVE ME IRRELEVANT ANSWERS PLEASE
can someone answer this
Answer: The equation is not an identity
==========================================================
Explanation:
We'll expand out the right hand side to see if we can simplify it to the left hand side. The stuff on the left will stay the same for each step.
I'll use c = a+b as a way to help distribute.
[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = c(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = a^3c - a^2bc-ab^2c + b^3c\\\\a^4 + b^4 = a^3(c) - a^2b(c)-ab^2(c) + b^3(c)\\\\a^4 + b^4 = a^3(a+b) - a^2b(a+b)-ab^2(a+b) + b^3(a+b)\\\\a^4 + b^4 = a^4+a^3b - a^3b-a^2b^2-a^2b^2-ab^3 + ab^3+b^4\\\\a^4 + b^4 = a^4+(a^3b - a^3b)+(-a^2b^2-a^2b^2)+(-ab^3 + ab^3)+b^4\\\\a^4 + b^4 = a^4-2a^2b^2+b^4\\\\[/tex]
Unfortunately, we can't go any further. We have a^4 and b^4 on the right hand side, but we also have the term -2a^2b^2 that didn't cancel out. Therefore, the original equation is not an identity.
----------------
Here's another way you can see that we don't have an identity.
Let's say we fixed 'a' to be equal to 1.
That means the equation
[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)[/tex]
would turn into
[tex]1^4 + b^4 = (1+b)(1^3 - 1^2b-1b^2 + b^3)[/tex]
and simplify to
[tex]1 + b^4 = (1+b)(1 - b-b^2 + b^3)[/tex]
Now replace b with x and you'll have the two equations to represent the left and right hand sides
[tex]y = 1+x^4\\y = (1+x)(1-x-x^2+x^3)[/tex]
which you can graph on the same xy axis. You should note that the two equations produce different curves. The curves would need to be identical if we wanted an identity to happen.
Side note: you can pick other values for 'a' instead of just 1.
Alyssa has fifty-quarters and dimes
She has a total of $9.80
How many dimes does she have?
a.)32
b.)30
c.)20
d.)18
what is x/-4 = -20 how do i sole for x
Answer:
x = 80
Step-by-step explanation:
Reverse your division by using multiplication:
x/-4 = -20
-4 x -20 = 80
which problem can be solved with the equation 1.75 +(-1.75)=0
x+y=0
Step-by-step explanation:
x= 1.75
y= -1.75
James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have budgeted $3,000 for their reception. If the reception hall charges a $80 cleanup fee plus $33 per person, find the
greatest number of people that they may invite and still stay within their budget.
James and Bethany can invite at most people to the reception
(Round down to the nearest whole person)
Answer:
88 people
Step-by-step explanation:
Start with the equation of
[tex]3,000\geq 33x+80[/tex]
subtract 80
[tex]3.000\geq 33x[/tex]
then divide by 33
[tex]88.48\geq x[/tex]
round down
[tex]x=88[/tex]
Which of the following is a true statement of the figure?
Answer:
1st one is correct
Step-by-step explanation:
please mark my answer in brainlist plz
A square coffe shop has sides that are 7 meters long what is the coffe shops area
Answer:
49 square metres
Step-by-step explanation:
The area of a square is the length of the side times itself.
The area is 7 x 7 = 49
What is the answer to this?
Answer:
56
Step-by-step explanation:
Answer:
i think its 140 because u got to add all the sides in order to subtract from 180
i dont know if its right but that is what i think UwU
PLS ANSWER AS SOON AS POSSIBLE
PLSSSS
Step-by-step explanation:
<B=180°-70°-50°=60°
hope this helps you.
Can someone Please help me on this easy math problem
Please help me with this, I need a real answer quickly before the period ends. Explanation if you can too pls
Answer:
(4, -6)
Step-by-step explanation:
The rule for rotation around the origin 90 degrees clockwise is
Ro, 90: (x, y) --> (y, -x)
so (6, 4) --> (4, -6)
what is 5,272 divided by 8 give the answer step by step
Answer: 659
Step by step solution:
Answer:
659
Step-by-step explanation:
0659
8 5272
0
52
48
47
40
72
72
0
Dividend:
5272
Divisor:
8
Quotient:
659
Remainder:
0
You may have to write this on paper because it might be hard for you to understand. I'm sorry if this isn't helping and it is very confusing, this is the only way that I could explain it. Thank you for the question and I hope you enjoy your answer :)
X-Y=9 and 2X+5Y=4 solve by substitution
Answer:
(7,-2)
Step-by-step explanation:
Answer:
(7, - 2 )
Step-by-step explanation:
x - y = 9 ( add y to both sides )
x = y + 9 → (1)
2x + 5y = 4 → (2)
Substitute x = y + 9 into (2)
2(y + 9) + 5y = 4 ← distribute parenthesis and simplify left side
2y + 18 + 5y = 4
7y + 18 = 4 ( subtract 18 from both sides )
7y = - 14 ( divide both sides by 7 )
y = - 2
Substitute y = - 2 into (1)
x = - 2 + 9 = 7
solution is (7, - 2 )
In football, a gain is when a player moves the ball closer to the goal line; whereas, a loss is when the player loses yardage making it difficult to score. Larry plays quarterback for the Eagles. During the team's opening football game, the Eagles have the ball 48 yards away from the goal line. On the first play, the Eagles gain 31 yards on a pass toward the goal line. On the next four plays, the Eagles lose 3, 5, 7, and 4 yards, respectively. What is the distance between the ball and the goal line after these five plays?
Answer:
36 yards
Step-by-step explanation:
48 - 31 = 17
17 + 3 + 5 + 7 + 4 = 36
The total distance between the ball and the goal line is 36 yards
What is data?In computing, data is information that has been translated into a form that is efficient for movement or processing.
Given:
Eagles have the ball 48 yards away from the goal line.
On the first play, the Eagles gain 31 yards on a pass toward the goal line. On the next four plays, the Eagles lose 3, 5, 7, and 4 yards.
After first day they have yards remaining
=48 - 31
= 17
Now, the total distance between the ball and the goal line
=17 + 3 + 5 + 7 + 4
= 36
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–7(2.3y − 2) simplified
Answer:
-16.1y + 14
Step-by-step explanation:
–7(2.3y − 2)
=> -16.1y + 14
Therefore, -16.1y + 14 is the simplified form.
Hoped this helped
[tex]GeniusUser[/tex]
Answer:
53
Step-by-step explanation:
sorry if im incorrect
A store owner wishes to make a new tea with a unique flavor by mixing black tea and oolong tea. If he has 35 pounds of oolong tea that sells for $2.40 per pound, how much black tea worth $1.80
The cost of 35 pounds of oolong tea is $84.
An equation is used to show the relationship between two or more variables or numbers.
Given that oolong tea sells for $2.40 per pound.
There are 35 pounds of oolong tea available. Hence:
Cost of 35 pounds of oolong tea = $2.40 per pound * 35 pound
Cost = $84
Hence, the cost of 35 pounds of oolong tea is $84.
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Answer:
35 LB (THIS IS ACTUALLY CORRECT)
Step-by-step explanation:
First, you lay it down like this:
Since you're selling 35 pounds of oolong tea that sells for $2.40, you multiply both
2.4*35
=84
However, since you don't know how many pounds of black tea, you use x
Multiply like above
1.8*x
=1.8x
The total mixture is selling for $2.10
Total pounds: 35 + x (given above, or black + oolong tea
equation:
84 + 1.8x = 2.1(35+x)
84 + 1.8x = 73.5 + 2.1x (distributive property)
- 1.8x - 1.8x
84 + 0 = 73.5 + 0.3x
-73.5 -73.5
10.5 = 0.3x
3.5 = 0.1x
35 = x
I HAVE 2 LEFT PLEASE HELP WILL GIVE BRAINLIEST
Dracos invested $125,000 in 2008. Each year its value increased by 5%. Which of the following equations can be used to represent the investment value after x years.
Group of answer choices
f(x)=125,000(1.05)x
f(x)=15(125,000)x
f(x)=125,000(0.85)x
f(x)=85(125,000)x
Answer:
f(x)=125k(1.05)x
Step-by-step explanation:
ommg
ok so every year it increase by 5%, aka 105%
which is 125k*105/100x which is the first one f(x)=125k(1.05)x
if u are not sure than use cross of elinimation
cant be 2nd one cause its not correct
third one ur decreasing
fourth one is just like the 2nd one
WILL GIVE BRAINLIEST
Answer:
31). (0,-2), (2,-5).
32). (0,-1), (5,3).
33). (0,1), (5,-2).
34). (0,1), (4,0).
What is the area of 30x40 rectangle in square units?? Will give BRAINLIEST if only correct!!!
Answer:
1200 units 30 times 40 is 1200
1200 sq units
hope this helps
If a person tells you she is 6 feet tall, is she basing that measurement on customary units or metric units?
Answer:
Customary
Step-by-step explanation:
Answer:
it is based on customary units
Swapna is 26 years older than her daughter Suma. 6 years later, Swapna will be thrice as old as Suma. Find their present ages.
Ages of swapna and suma are 33 and 7 years old respectively
Let the present age of Swapna be xLet the age of Suma be yIf Swapna is 26 years older than her daughter Suma, then;
x = y + 26 ............... 1
6 years later:
Age of Swapna = x + 6
Age of Suna = y + 6
If Swapna will be thrice as old as Suma, then;
x + 6 = 3(y + 6) ................. 2
Substitute equation 1 into 2:
y + 26 + 6 = 3y + 18
y + 32 = 3y + 18
-2y = -14
y = 7
Since x = y + 26
x = 26 + 7
x = 33
Hence ages of swapna and suma are 33 and 7 years old respectively
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what is the slope of the line
Answer:
Bala Bala Bala Bala Bala
Step-by-step explanation:
what is the slope of the Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah answer is answer the question Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah
Help!! Ill give 100 points!
It is the 3rd one from the top
Answer:
I believe the answer would be C.
Step-by-step explanation:
First of all, the solution to the answer really is 1/20. If you figure out the decimal form of 4/5, it is 0.80, which is closer to 1 than to 1/2 and 0. The decimal form of 3/4 is 0.75, which is equally close to 1 and 1/2, being 0.25 from both. But it is closer to 1 than 0. I hope I’m right, and I hope this helps. :)
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Refer to the attachment.
Thank you!
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If you don't know the answer don't answer.
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[tex]\huge \rm༆ Answer ༄[/tex]
The equivalent expression is ~
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For x such that 0 < x < [tex]\frac{\pi}{2}[/tex], the mathematical expression is:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2[/tex]
Given the following data:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx}[/tex][tex]\frac{\sqrt{1 \;-sin^2x} }{cosx}[/tex]In Trigonometry, you should take note of the following mathematical expression:
[tex]sin^2x + cos^2x = 1[/tex]
Therefore, we can obtain the following:
[tex]sin^2x = 1 - cos^2x[/tex] ...equation 1.
[tex]cos^2x = 1 - sin^2x[/tex] ...equation 2.
Substituting the equations respectively, we have:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = \frac{\sqrt{sin^2x} }{sinx} + \frac{\sqrt{cos^2x} }{cosx}\\\\[/tex]
Taking the square roots, we have:
[tex]\frac{sinx}{sinx} + \frac{cosx}{cosx} = 1 +1\\\\1+1=2[/tex]
Therefore, for x such that 0 < x < [tex]\frac{\pi}{2}[/tex], the expression is:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2[/tex]
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OK im confused for real: ok so what does 20X80X100X70X40+4=
Answer:
448000004.
Hope that helps. x
Answer:
448000004
Step-by-step explanation:
QUICK MATHS
I need help and I can’t find any sadly. Help!!
1 = Given
2 = Addition Property of Equality
3 = Division Property of Equality