The expression is [tex](x - \sqrt{6} )^{n}[/tex] , n = 1, 2, 3....
Polynomial expression:
A polynomial expression is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.
It is given that
x = √6
x - √6 = 0
[tex](x - \sqrt{6} )^{n}[/tex] where n = 1,2,3.....
Therefore the expression of the polynomial given roots is [tex](x - \sqrt{6} )^{n}[/tex] .
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Solve the following integers
Step-by-step explanation:
here is the answer of each question respectively
PUNTOS Write the equation of the line parallel to y = -1/3x + 4 and passing through the point (-6, -9). Be sure to write your answer in slope-intercept form(y=mx+b)
The slope intercept of the line is y = -1/3x -11
Slope-intercept is one of the special forms of line equation
The slope intercept of a line can be found by solving the slope-intercept equation of a line which is parallel to that line.
Slope-intercept equation is
y = mx + b
where m is the slope and b is the intercept.
The slope-intercept equation of the parallel line is
y = -1/3x + 4
The slope will be the same for both lines as they were parallel to each other.
Thus m = -1/3
The point in which the line passes is given as (-6,-9)
So with these data, We can find the intercept of the line
y = mx + b
where m = -1/3 and (x,y) is (-6,-9),Thus
-9 = -1/3(-6) +b
-9 = 6/3 +b
-9 = 2 + b
b = -9-2
b = -11
Thus the intercept of the line passing through the point (-6,-9) is -11
Thus, the slope-intercept equation of the line we need to find is
y = -1/3x -11
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The graph of f(x) is increasing on
(-∞, 0) and decreasing on (0, +∞).
Which statement must be true?
A f(x) has a maximum at x = 0.
B f(x) has a minimum at x = 0.
The domain of f(x) is (0, +∞).
D The range of f(x) is (0, +∞).
Answer: c
Step-by-step explanation:
Write the polynomial -10xy5 + 2x³y² - 6x²y² in standard form.
Ana compra en la tienda 15/20 gramos de jamon y 15/20 gramos de queso y quiere saber a cuanto equivale en decimales
15/20 gramos equivalen a 0 . 75 en forma decimal. Si se supone que las cantidades decimales deben sumarse, entonces 1 . 5
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Espero que esto te ayude.
Que tengas un buen día y que Dios te bendiga. :)
A cab company charges a $6.00 fee to pick up a fare plus $0.20 per mile. If you pay the cab driver $9.40, how many miles did you go?
Answer is 6.00+0.20-9.40
3.2
or
6.00-0.20-9.40
3.2
Answer:3.2
Step-by-step explanation:
A television cost $1,275. It is marked down 35%. What is the new cost of the television? Please answer this!!!
Answer:
$446.25
Step-by-step explanation:
1275 x 35% = 446.25
So, the television would be $446.25
------------------------------------
Hope this helps!
Have a great day and God bless! :)
6.
(11x-47)
(6x-2)
m
1
Solve for missing variable l and m are parallel
The solved polynomial is 66x² -304x+94.
We are given a problem related to the polynomial function, where Polynomial functions are expressions that will contain factors of changing degrees, coefficients, positive types, and constants.
Since the given equation (11x-47)(6x-2), both the term are in the form of multiplication, so here we use the distribute rule,
we multiply the 6x-2 individually with the 11x and 47
11x(6x-2) -47(6x-2 )= 66x² -22x -282x + 94
Now, we have two common variables of coefficients -22 and -282, after adding both of them, the final outcome we get is
= 66x²-304x +94
The solved function for the given equations is 66x2 -304x+94,
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In right triangle $ABC,$ $\angle C = 90^\circ.$ Median $\overline{AM}$ has a length of $19,$ and median $\overline{BN}$ has a length of $18.$ What is the length of the hypotenuse of the triangle?
The length of the hypotenuse of the triangle is; AB = 2√106 ≈ 20.591
How to use the Pythagorean theorem?The Pythagorean theorem says the square of the hypotenuse is equal to the sum of the squares of the legs. Thus;
For median AM, we have;
AM² = CM² +AC² = (BC/2)² +AC²
For median BN, we have;
BN² = CN² +BC² = (AC/2)² +BC²
The sum of these two equations gives us;
AM² +BN² = BC²/4 +AC² +AC²/4 +BC² = (5/4)(AC² +BC²)
AM² +BN² = (5/4)(AB²)
Thus, we conclude that the length of the hypotenuse of triangle ABC is;
AB = √(4/5(AM² +BN²))
AB = 2√((19² +13²)/5)
AB = 2√106 ≈ 20.591
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Question 2(Multiple Choice Worth 2 points)
(01.03)
Solve for x, given the equation √x+9 -4 = 1.?
Answer:
x = 16
Step-by-step explanation:
5. The distance between two lighthouses is 137 miles. There are approximately 8 kilometers
in 5 miles. Which measurement is closest to the number of kilometers between these
two lighthouses?
Measurement is closest to the number of kilometers between these
two lighthouses is 219.2 kilometers.
Assume the distance between two lighthouses is x kilometers in 137 miles.
It knows there are approximately 8 kilometer in 5 miles.
Since the number of kilometers per mile is same
So x:137=8:5
x/137=8/5
5x=1096
5x/5=1096/5
x=219.2
1 kilometer is equal to 0.621371 miles (often shortened to . 62). 1 mile is equal to 1.609344 kilometers. Thus, to convert kilometers to miles, simply multiply the number of kilometers by 0.62137.
The number of kilometers between these two lighthouses is 219.2.
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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
Step-by-step explanation:
"rise" is 10 units
"run" is 6 units
m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{10}{6}[/tex] = [tex]\frac{5}{3}[/tex]
m = [tex]\frac{5}{3}[/tex]
10^-2 in expanded form
10⁻² in expanded form is [tex]\frac{1}{100}[/tex] in fractional form or 0.01 is decimal form.
The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It is also known as standard form in the UK and scientific form, standard index form, and standard form.The number 10⁻² is written in scientific notation.
Mathematically 10⁻²= [tex]\frac{1}{10^2}[/tex]=1/100 =0.01
Hence the expanded form of 10⁻² is 0.01 .
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the volume of the atlantic ocean is about 3.1 \cdot 10^{17}3.1⋅10 17 3, point, 1, dot, 10, start superscript, 17, end superscript cubic meters. the mississippi river has an annual flow of 6.3 \cdot 10^{11}6.3⋅10 11 6, point, 3, dot, 10, start superscript, 11, end superscript cubic meters. how many times would the annual flow of the mississippi river fit in the atlantic ocean?
4.92*10^5 times the annual flow of the Mississippi River fit in the Atlantic Ocean
Given that,
Volume of the Atlantic Ocean = 3.1*10^17cubicmetres
Annual flow of the Mississippi River = 6.3*10^11cubicmeters
Now, we have to find how many times the annual flow of the Mississippi River fit in the Atlantic Ocean
So,
= Volume of the Atlantic Ocean / Annual flow of the Mississippi River
= 3.1*10^17 / 6.3*10^11
= 0.4921*10^6 (Approximately)
=4.92*10^5
Therefore,
It takes 4.92*10^5 times for the Mississippi River to fit into the Atlantic Ocean.
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The african bush elephant weights about 4.4 tons and 7.7 tons what are if least and greatest sight rounded to the nearest ton
The least ton is 4 ton and the greatest ton is 8 ton.
Given an approximation for the weight of African bush elephant.
If we take x as the weight of an African Bush elephant, then
4.4 < x < 7.7.
We are asked to find the least and greatest weights rounded to the nearest ton.
The least weight is 4.4. But when rounded to the nearest ton, we can consider the least weight at 4 tons.
Likewise, the greatest weight is 7.7 tons.
But the greatest weight rounded to the nearest ton = 8 tons
We rounded 4.4 to 4 because the decimal digit 4 is less than 5.
Also we rounded 7.7 to 8 because the decimal digit 7 is greater than 5.
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i need help with this please
Answer:
x = 67.5
Step-by-step explanation:
90 + x + 3x = 360
90 + 4x = 360
4x = 360 - 90
4x = 270
x = 270 / 4
x = 67.5
Hope it helps!!!
Under her cell phone plan, Hawa pays a flat cost of $51.50 per month and $3 per gigabyte. She wants to keep her bill at $64.10 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Hawa can use while staying within her budget.
If Hawa pays a flat cost of $51.50 per month and $3 per gigabyte and she wants to keep her bill at $64.10 per month. then the equation which can be used to determine gigabyte is 51.50+3x=64.10 and the number of gigabytes of data Hawa can be used is 4.2 gigabytes
Given,
The flat cost = $51.50 per month
The cost per gigabyte = $3
She wants to keep her bill = $64.10
Consider the number of gigabytes used as x
Then the equation is
51.50+3x=64.10
3x=12.6
x=4.2
Hence, if Hawa pays a flat cost of $51.50 per month and $3 per gigabyte and she wants to keep her bill at $64.10 per month. then the equation which can be used to determine gigabyte is 51.50+3x=64.10 and the number of gigabytes of data Hawa can be used is 4.2 gigabytes.
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Arianna and her friends are preparing for an epic snowball fight. They make 80
snowballs before Arianna's dad calls them in for lunch. After lunch, they make more
snowballs. In all, Arianna and her friends make 161 snowballs.
Which equation can you use to find the number of snowballs s Arianna and her
friends make after lunch?
Answer: 161-80=81
(or 161-x=y?)
Step-by-step explanation:
subtract the the amount of snowballs made before Adrianna's dad called them in for lunch from the total number of snowballs (161-80)
161-80=81
find the LCM of 34,40,168
Answer:
14,280...............enjoy
3-2y=9 so (3-2y)2
Please tell me what it equals
Answer:
81
Step-by-step explanation:
can you guys solve it please i will give bonus if so
The dimension of the triangle whose perimeter is 18 feet will be 4 feet, 6 feet, and 10 feet.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The perimeter of the triangle is determined by adding together all of its sides.
Let 'x' be the first side of the triangle. Then the second and third sides of the triangle will be (x + 2) and (2 + x + 2). Then the equation is given as,
x + (x + 2) + (x + 2 + 2) = 18
3x + 6 = 18
3x = 12
x = 4
Then the dimension of the triangle will be given as,
x = 4
x + 2 = 4 + 2 = 6
x + 2 + 2 = 4 + 6 = 10
The dimension of the triangle whose perimeter is 18 feet will be 4 feet, 6 feet, and 10 feet.
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What’s the answer to question B???????
Answer:
71.
Step-by-step explanation:
The "machine" is subtracting 6 from whatever number she puts in. Ergo, 77 - 6 = 71.
what is the value of (x+y)^2 when x=2 and y= -4?
Answer: 20
Step-by-step explanation:
Everything within the parenthesis gets an exponent of two, so you should have (x^2+y^2).
After this, you plug in the 'x' and 'y' given, so the next part should look like (2^2+(-4)^2)
After step 2, do 2*2 and -4*-4 (exponents ask you to multiply numbers by a specific amount. In this case, both numbers are multiplied by themselves 2 times).
A negative times a negative is a positive, so -4^2 or -4*-4 is 16. 2^2 or 2*2 is simply 4.
Add 4 and 16 together to get your final answer of 20.
Hope this helps!
HELP.................................! !
Answer:
0.063
Step-by-step explanation:
Answer:
Your answer would be 0.063.
Step-by-step explanation:
0.504 divided by 8 = 0.063
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God bless! :)
Why is the base of the triangle the same as the circumference
of the circle?
Answer: Because They are literally the same!
Step-by-step explanation:
So listen, The base of a cone is
1. Flat
2. Circle
3. no sides
And a circle has these characteristics too!
So here is your answer Brainliest and thanks + 5 STAR ⭐
What is the value of the expression -2/7 - 4/7
Answer: -6/7
Step-by-step explanation: combine like terms.
Same signs; add, different signs; subtract.
Which of the following sentences is true? Use the number line to help you decide.
6.0 - 7.0
O 6.4 is greater than 6.6.
O 6.3 is less than 6.0.
O 6.4 is less than 6.2.
O 6.8 is greater than 6.6.
Answer: this may not be correct but I think that the answer is 6.8 being greater than 6.6 since it is more closer to 7.0.
Step-by-step explanation:
HELP? PLEASE?
solve for v. V + 1/9 = 7
ik its easy but im exhausted n my brain wont work
Answer:
If I know how to do math rn, your answer would be v= [tex]\frac{69} {9}[/tex]
-----------------------------------
Hope this helps!
Have a great day and God bless! :)
Answer:
Exact Form:
V = 62/9
Decimal Form:
V = 6.88888 (never-ending 8's)
Mixed Number Form:
V = 6 8/9
Hope this helps <33
5x+y
when x=6 and y=-2
Answer:
28
Step-by-step explanation:
5(6) + (-2) = 30 + (-2) = 30-2 = 28
Answer:
28
Step-by-step explanation:
x=5 y=2
5x + y
5(6) + (-2)
30 + (-2)
30 - 2
28
*the puzzle* n 48 abcd w 117 efgh a) professor x traveled 1500 miles to see jean grey. he read one book every 450 miles he traveled. how many books had he finished by the time he arrived? b) storm had $74 and withdrew some more money from her bank account. she bought a pair of slacks at $34, two shirts at $16 each and a pair of shoes at $24. after shopping, storm had $15 left. how much money did she withdraw from the bank? c) there are 12 pacific northwest geocachers in wolverine's living room. six of them are wearing socks, four of them are wearing shoes, while four people are wearing both socks and shoes. how many geocachers have nothing on their feet for their upcoming geo-excursion together? d) cyclops will buy a new pair of shoes in 1200 seconds. how many minutes must he wait before he can buy them? (second digit in the answer!) e) quicksilver collected 700 nickels in a jar. he went to the bank to cash them in. how much money did the bank give him? f) for breakfast, mystique bought a bagel for $1.55 and a glass of orange juice for $2.25. at lunch, mystique spent $6.25 on a sandwich and $0.55 on a carton of milk. how much more money did she spend on lunch than on breakfast? g) mirage had three pizzas. each pizza had eight slices. if mirage at 75% of the pizza slices, how many were left? h) iceman has a highlighter obsession. in his desk drawer, there are 19 yellow highlighters. there are 15 more blue highlighters than yellow, and there are 37 green highlighters total. how many more green highlighters than blue does he have?
He finished the number of books by the time he arrived = 3.3 books, b) she withdrew $15 from her bank account. c) 6 people have nothing on their feet.d) He must wait before he can buy the pair of shoes = 20 minutes. e) After dividing the bank gives him 700 nickels = $35. f) She spent more money on lunch than breakfast = $3. g) After eating the mirage slices left = 6 slices. h) He has more green highlighter than blue = 3
a) professor finished 3 books by the time he arrived.
Professor x traveled to see jean grey = 1500 miles
He read one book he traveled = 450 miles
So,
He finished books by the time he arrived by dividing both the numbers = 1500/450
He finished total books by the time he arrived = 3.3 books
b) Storm had money = $74
She bought a pair of slacks = $34
She bought two shirts = $16
She bought a pair of shoes = $24
After shopping she left with = $15
Storm expenses on the items = $34 + $16 + $24
= $74
So, after shopping she left with $15 so it is clear that she withdrew $15 from her bank account.
c) Pacific northwest geocachers in wolverine’s living room = 12
Wearing shoes = 4
Wearing socks = 6
Wearing both socks and shoes = 4
As we know 4people wearing both socks and shoes
So, 2 people are wearing only sock
And no people wearing only shoes = 4-4=0
So, in total 4+2+0= 6
Now, 12 people are there
So, 12-6=6
So, 6 people have nothing on their feet.
d) Cyclops waited 20 minutes
Cyclops will buy a new pair of shoes = 1200 seconds
Here, 60 minutes = 3600 seconds
Now, divide 1200 seconds by a minute (1 minute = 60 sec)
He must wait before he can buy the pair of shoes = 1200/60
He must wait before he can buy the pair of shoes = 20 minutes
e) Quicksilver collected nickels in a jar = 700
First, we have to calculate how many cents are there in 700 nickels by multiplying 700 * 5, and then dividing that result by 100 cents
=700 nickels x 5 cents
= 3,500 cents ( 100 cents = $1)
= 3,500 cents / 100 cents
The bank gives him 700 nickels = $35
f) For breakfast, Mystique bought a bagel = $1.55
A glass of orange juice = $2.25
At lunch,
On sandwich, she spent = $6.25
On a carton of milk, she spent = $0.55
Total spent on breakfast = $1.55+$2.25
= $3.80
Total spent on lunch = $6.25+$0.55
= $6.80
She spent more money on lunch than breakfast = $6.80-$3.80
She spent more money on lunch than breakfast = $3
g) Mirage had 3 pizzas
Each pizza had = 8 slices
So, After multiplying total number of slice we have of the pizza = 3*8
= 24 slices
He ate 75% of the pizza slices = 75/100 * 24
= ¾ * 24
After multiplying, he ate pizza slice = 3 * 6
= 18 slices
So, after eating by the mirage slices left = 24-18
= 6 slices
h) He has 3 more green highlighters than blue highlighters.
In the iceman desk drawer, the number of yellow highlighters are = 19
As given, there are 15 more blue highlighters than yellow in his desk drawer
Then,
the number of blue highlighters = 19+15
= 34
There are total numbers of green highlighters = 37
He has more green highlighters than blue highlighters = 37-34
= 3
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