By the definition of the polynomials, the expression [tex]3.9x^3 - 4.1x^2 + 7.3[/tex] is the only polynomials.
What are polynomials?Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
a. [tex]\pi x -\sqrt{3} +5y[/tex]
This expression consists of 2 variables so this is not a polynomial.
b. [tex]x^{2} y^{2} -4xy^{3} +12y[/tex]
This expression consists of 2 variables so this is not a polynomial.
c. [tex]\frac{4}{x} -4x^{2}[/tex]
Here variable x is in the denominator in term 4/x so this is not a polynomial.
d. [tex]3.9x^3 - 4.1x^2 + 7.3[/tex]
This expression satisfies all conditions of being a polynomial hence this is a polynomial.
e. [tex]\sqrt{x} -16[/tex]
Here the power of variable x is not an integer so it's not a polynomial.
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Answer:
A B E
Step-by-step explanation:
cuz i know
A point has zero dimension.
Q.A. True
• B. False
SUBMIT
Complete the equation below to make an equation that is equal to 1.
Answer: 5/10 +5/10 =10/10 =1
Step-by-step explanation: I don't think this requires much explanation. Any number with same numerator and denominator equals 1.
When you get 10/10, the first and second box can be figures that sum up to be 10.
It can be 7 and 3, it can be 6 and 4
What is the quotient of (3x4 – 4x2 8x – 1) ÷ (x – 2)? 3x3 6x2 8x 24 – startfraction 47 over x minus 2 endfraction 3x3 6x2 8x 24 startfraction 47 over 3 x superscript 4 baseline minus 4 x squared 8 x minus 1 endfraction 3x3 6x2 8x 24 startfraction 47 over x minus 2 endfraction 3x3 6x2 8x 24 – startfraction 47 over 3 x superscript 4 baseline minus 4 x squared 8 x minus 1 endfraction
The quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) is 3x³ + 6x² + 8x + 24
It can be expressed as 3x³ + 6x² + 8x + 24 + 47 / x - 2
What are the Quotients?Quotients is the number obtained by dividing one number by another.
The given expression is;
(3x⁴ - 4x² + 8x - 1) ÷ (x - 2)
Using synthetic division:
(3x⁴ - 4x² + 8x - 1) / (x - 2) = 3x³ + 6x² + 8x + 24 remainder 47
3x⁴ - 4x² + 8x - 1 → Dividend
x - 2 → Divisor
3x³ + 6x² + 8x + 24 → Quotient
47 → Remainder
The quotient is;
[tex]\rm =\dfrac{3x^4-4x^2+8x-1}{x-2}\\\\=\dfrac{(3x^3 + 6x^2 + 8x + 24)(x-2)}{x-2}\\\\=3x^3 + 6x^2 + 8x + 24[/tex]
Therefore, the quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) is 3x³ + 6x² + 8x + 24
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The quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) would be 3x³ + 6x² + 8x + 24.
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number.
The given expression
(3x⁴ - 4x² + 8x - 1) ÷ (x - 2)
(3x⁴ - 4x² + 8x - 1) / (x - 2) = 3x³ + 6x² + 8x + 24
remainder is 47
Here,
3x⁴ - 4x² + 8x - 1 = Dividend
x - 2 = Divisor
3x³ + 6x² + 8x + 24 = Quotient
47 = Remainder
The quotient is;
(3x⁴ - 4x² + 8x - 1) / (x - 2)
(3x⁴ - 4x² + 8x +24) (x - 2) / (x - 2)
3x³ + 6x² + 8x + 24
Therefore, the quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) is 3x³ + 6x² + 8x + 24
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Describe the difference between rotation and revolution. Your answer should include a definition of each as well as what each one causes.
Answer:
Rotation" refers to an object's spinning motion about its own axis.
"Revolution" refers the object's orbital motion around another object.
For example, Earth rotates on its own axis, producing the 24-hour ( a day.)
Earth revolves about the Sun, producing the 365-day (a year).
What is the product? (2 x minus 1)(x 4) 2 x squared minus 4 2 x squared 4 2 x squared 7 x minus 4 2 x squared minus 7 x minus 4
The product of the given equation (2x - 1)(x +4) is 2x^{2} +7x -4.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The given expression is
[tex](2x - 1)(x +4)[/tex]
Multiply term by term,
[tex]2x \times x + 2x \times 4+ (-1)\times x + (-1)\times 4\\2x^{2} +8x -x -4\\2x^{2} +7x -4[/tex]
Thus, The product of the given equation is [tex]2x^{2} +7x -4[/tex].
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To estimate the product of 44 x 52, what is the best way to round the factors?
45 x 55
40 x 50
50 x 50
40 x 55
WILL MARK BRAINLIEST
I NEED HELP! I don’t get it at all
Answer:
5.83 cubic feet
Step-by-step explanation:
Volume of block1 :
l = 4 ft
[tex]\sf w = \dfrac{5}{6} \ ft\\\\ h = 1\dfrac{1}{6}=\dfrac{7}{6} \ ft[/tex]
[tex]\sf Volume \ of \ block1 = l*w*h\\[/tex]
[tex]\sf =4 *\dfrac{5}{6}*\dfrac{7}{6}\\\\ =\dfrac{5}{3}*\dfrac{7}{3}\\\\= \dfrac{35}{9} \ cubicfeet[/tex]
Volume of block2:
l = 4 ft
[tex]w = 1\dfrac{2}{3}-\dfrac{5}{6}\\\\ =\dfrac{5}{3}-\dfrac{5}{6}\\\\ =\dfrac{5*2}{3*2}-\dfrac{5}{6}\\\\=\dfrac{10}{6}-\dfrac{5}{6}\\\\w =\dfrac{5}{6} \ ft\\\\h =\dfrac{7}{12} \ ft[/tex]
[tex]\sf Volume \ of \ block2 = 4 *\dfrac{5}{6}*\dfrac{7}{12}[/tex]
[tex]\sf = \dfrac{5}{6}*\dfrac{7}{3}\\\\= \dfrac{35}{18} \ cubicft[/tex]
Amount of concrete to build stairs = Volume of block1 + volume of block2
[tex]\sf = \dfrac{35}{9}+\dfrac{35}{18}\\\\=\dfrac{35*2}{9*2}+\dfrac{35}{18}\\\\=\dfrac{70}{18}+\dfrac{35}{18}\\\\=\dfrac{105}{18}\\\\= 5.83 \ cubic feet[/tex]
Find f(3) if f(x) = 4x + 12.
A copy machine makes 44 copies per minute. How many copies does it make in 4 minutes and 15 seconds?
Answer: 102 copies
Step-by-step explanation:
4 minutes and 15 seconds are 4.25 minutes, so it will make 102 copies in that time
hello brainly team I need help
Answer:
5)
x=13.856
y=8
6)
u=4
v=3.464
Step-by-step explanation:
5)
y=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)
y = 16*sin(30)/sin(90)
y=8
x=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)
x=16*sin(60)/sin(90)
x=13.856
6)
sinA/(opposite of angle A) = sinB/(opposite side of angle B) = sinC/(opposite of side of angle C)
sin(90)/u= sin(30)/2
u *sin(30) = 2* sin(90)
u *sin(30) = 2
u=2/sin(30)
u=2/0.5
u=4
sin(60)/v= sin(30)/2
v *sin(30) = 2* sin(60)
v *sin(30) = 2 * 0.866
v * sin(30) = 1.73
v = 1.73/sin(30)
v = 3.464
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[5] x = 8 and y = 13.856
[6] v = 4 and u = 3.464
≤ Step-by-step explanation ≥-------------------------------------------------------------------------------------------------------------
[5]
sin60° = x/16 = 1/2
x = 16/2 = 8
cos60° = y/16 = √3/2
y = 16√3/2 = 8√3
Can also be : 8√3 = 13.856
-------------------------------------------------------------------------------------------------------------
[6]
sin30° = 2/u = 1/2
u = 2 x 2 = 4
tan30° = 2/v = √3
v = 2√3
can also be: 2√3= 3.464
-------------------------------------------------------------------------------------------------------------
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~lenvy~
If you donate $150 in total a year , How much money did you donate on the first month of the year.
Answer:
$12.50
Step-by-step explanation:
You donate $150 in total in a year.
To find out how much you donated on the first month, remember the relation between a year and number of months.
⇒ 1 year = 12 months
⇒ 1 month = 1/12 year
Finding the amount donated
Divide the money donated in a year by 12$150/12$12.50The wood on the back deck of a house needs waterproofing. The shape of the deck is a rectangle with the length * 35 feet and a width of 5 yards. A gallon can of waterproof stain covers 80 square feet and costs $19.99 per can plus 7% sales tax. You go to the hardware store to purchase the waterproof stain needed to complete the job. You give the cashier $150.
How much change do you receive, or how much additional cash must you find in order to be able to pay for all of the
stain you need? You must show all calculations.
Area of Rectangle = length X width
You cannot split up a can of stain.
You must show all calculations.
Can someone help me with this problem?
Answer:
30(2+1)
Step-by-step explanation:
Again, find common highest number. It is 30.
60/30 =2
30/30 = 1
so,
30(2+1)
Help me please thanks
5(w. 9)
hope it really helps...!!!
Sam has 3 candy bars and he wants to divide them into 8 equal portions to give to friends. What fraction will each person receive?
Answer: [tex]\frac{3}{8}[/tex] of the 3 candy bars
Step-by-step explanation:
We will divide the total number of candy bars by the portions.
3 candy bars / 8 portions = [tex]\frac{3}{8}[/tex]
Each friend will receive [tex]\frac{3}{8}[/tex] of the 3 candy parts
Need help with this problem
Answer: B) 86°
Step-by-step explanation:
The angles of a triangle always add to equal 180.
So let's call the third angle x and add the other two angles with it.
32+62+x=180
94+x=180
Now we solve for x
Subtract 94 from both sides
94-94+x=180=94
x=86
Write −0.258
as a fraction in simplest form. ITS NOT 129/500
Factor the polynomial 3x4 – 2x2 15x2 – 10 by grouping. which product is the factored form of the polynomial? (–x2 – 5)(3x2 2) (x2 – 2)(3x2 5) (x2 5)(3x2 – 2) (3x2 – 5)(x2 2)
The factor of the given polynomial are (3x^2-2)(x^2+5)
The polynomial
[tex]3x^4-2x^2+15x^2-10[/tex]
What is the factor of the polynomial?Factoring a polynomial is expressing the polynomial as a product.
The rearranged, grouped, and solved as follows
[tex]3x^4+15x^2-2x^2-10[/tex]
[tex]3x^4+15x^2-(2x^2+10)[/tex]
Factor out the common term
[tex]3x^2(x^2+5)-2(x^2+5)[/tex]
[tex](3x^2-2)(x^2+5)[/tex]
That is the third option is the correct option.
Therefore the factor of the given polynomial are (3x^2-2)(x^2+5)
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Help me with this question, please
Answer:
Step-by-step explanation:
x+y=10
1.50x+2.50y=22
Then use the the elimination method. The final answer is x=3, y=7.
which graph represents the solution set of this inequality?
please help!!!
Answer:
C is the correct answer due to two-step inequality process
Step-by-step explanation:
Your inequality is: 5a + 18 < -27
First, you must remember that the < or > shall not be shaded in.
You could automatically eliminate answer A.
Now you need to do two-step inequalities which is the same thing as two-step equations but with an inequality sign.
5a + 18 < -27
5a < -27-18
5a < -45
**Now, here's something important: If you are multiplying with negatives while dealing with inequalities you must switch the sign to its opposite.
-9 > a
You need to find a number line that has numbers less than -9. It could be -10, -11, -12, -122, etc.
C is the correct answer.
Is 6x^-3x a polynomial
Choose the square with a perimeter of 24 inches.
A) A
B) B
C) C
Answer:
A. 6+6+6+6=24
Hope this helps!
Answer:
its a
Step-by-step explanation:
⇒ because if you add 6 four types it equals = 24 inches hope this helped
13/6 renamed as a mixed number
Answer:
2 1/6
Step-by-step explanation:
13/6 is 6/6 + 6/6 + 1/6... each 6/6 = 1 sooo. 2 and 1/6 :)
orrr
6*2 is 12 (closest multiple of 6 to 13, so 2 is whole number w/ 1(/6) as a remainder
PLS HELP!!! No links pls and Ty <3333
Answer:
The area is 176.6
Step-by-step explanation:
The formula for the area of a circle is "πr²"
This means you square the radius, and multiply it by pi.
Our diameter is 15, and the radius is half of the diameter.
15 ÷ 2 = 7.5
Next, we square the radius. (7.5)
Let's fill it into the formula.
π7.5²
After squaring, it's this:
π56.25
In your question, pi is 3.14, so let's replace that.
(3.14)56.25
After multiplying we get 176.625, after we round, we get 176.6
176.6 is the area.
Brainliest please?
Answer:
The area is 176.6
Step-by-step explanation:The formula for the area of a circle is "πr²"This means you square the radius, and multiply it by pi.Our diameter is 15, and the radius is half of the diameter.15 ÷ 2 = 7.5Next, we square the radius. (7.5)Let's fill it into the formula.π7.5²After squaring, it's this:π56.25In your question, pi is 3.14, so let's replace that.(3.14)56.25After multiplying we get 176.625, after we round, we get 176.6176.6 is the area.
Step-by-step explanation:
Lars read that there are about
210,000 grains of salt in one
teaspoon.
How is 210,000 written as a power
of ten?
A. 210 X 104
B. 21 X 104
C. 21 X 108
D. 2.1 X 10^
Answer
the answer is a
Step-by-step explanation:
Beth and Leslie are trying to decide which one of them gets to portray the lead character in a student play. They will use a random number generator to produce an integer. If the integer that comes up is odd, Beth gets to play the lead, and if the integer is even, Leslie gets to play the lead. Having the random integer generated be in which interval will make this a fair decision?
A) from 2 to 10 B) from 3 to 15 C) from 5 to 20 D) from 5 to 25
The fair interval illustrates a sample space
The interval that will make a fair decision is from 5 to 20
How to determine the fair interval?From the question, we understand that:
Beth plays the lead, and if the integer is even, Leslie plays the lead, if otherwiseSince they choose odd and even integers, then the sample space must be divisible by the number of people (i.e 2 people)
The sample space (S) is calculated as:
S = Highest - Least + 1
A) from 2 to 10S = 10 - 2 + 1 = 9
B) from 3 to 15S = 15 - 3 + 1 = 13
C) from 5 to 20S = 20 - 5 + 1 = 16
D) from 5 to 25S = 25 - 5 + 1 = 21
Only 16 can be divisible by 2
Hence, the interval that will make a fair decision is from 5 to 20
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Write these as ordinary numbers:
A. 4×10³
B. 7×10⁹
C. 4×10⁰
= 4000
B. 7×10⁹= 7000000000
C. 4×10⁰= 4
( to convert back to ordinary form just move the decimal point according to the power. )
Answer:
A. 4000
B. 7000000000
C. 4
Step-by-step explanation:
A. 4×10³
= 4 × 1000
= 4000
B. 7×10⁹
= 7×1000000000
= 7000000000
C. 4×10⁰
(a⁰=1)
= 4×1
= 4
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Will V − E + F always equal 2?
The expression V − E + F is an illustration of the Euler's formula.
The expression V − E + F is always 2
How to determine the true statement?The equation is given as:
V - E + F = 2
Where:
V represents the verticesE represents the edgesF represents the facesAccording to the Euler's formula, the relationship between V, E and F is:
V + F = 2 + E
Subtract E from both sides
V - E + F = 2
Hence, the expression V − E + F is always 2
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7 pounds of turkey cost $21
Answer:
1 pound of turkey is 3 dollars
Step-by-step explanation:
Answer:
1 lb of turkey costs 3$
Step-by-step explanation:
You divide the cost by the pound to find the answer
21/7 =3
Parallelogram ABCD has the following vertices: A(3,6), B(6,8), C(9,6), and D(6,4). In two ut more complete sentences, explain how you can use the coordinates of the vertices to prove that parallelogram ABCD is a rhombus.
Explanation:
A rhombus is a parallelogram in which the diagonals are mutual perpendicular bisectors. The coordinates of the vertices can be used to show ...
the diagonals bisect each otherthe diagonals are perpendicularWhen both these conditions are met, the quadrilateral is a rhombus.
__
Mutual BisectorsThe diagonals will have the same midpoint (bisect each other) if the sum of the coordinates at the ends of one diagonal is the same as the sum of the end point coordinates of the other diagonal:
A +C = B +D
(3, 6) +(9, 6) = (6, 8) +(6, 4)
(3+9, 6 +6) = (6 +6, 8 +4)
(12, 12) = (12, 12) . . . . . . midpoints are the same; ABCD is a parallelogram
__
PerpendicularThe diagonals will be perpendicular if the sum of the products of the coordinate differences of their end points is zero.
AC⋅BD = (C -A)⋅(D -B) = (9 -3, 6 -6)⋅(6 -6, 4 -8)
= (6, 0)⋅(0, -4) . . . . . end point differences; we want their dot-product
= (6)(0) +(0)(-4) = 0 +0 = 0 . . . . diagonals are perpendicular
_____
Additional comment
The midpoints are computed as (A+C)/2 and (B+D)/2. We have multiplied each of them by 2 to simplify the arithmetic. Our resulting sums of (12, 12) must be divided by 2 to get the actual midpoint of the rhombus: (6, 6).
The notion of "dot product" is a vector notion. Two vectors are perpendicular when their dot product is zero. The dot product is the scalar sum of the products of corresponding coordinates.