Which of the following is a polynomial?
x² + 2
Further explanationLet us determine whether each algebraic expression is a polynomial or not.
[tex]\boxed{ \ A. \ x^2 + 2 \ }.[/tex] is a polynomial. [tex]\boxed{ \ B. (x^8 - 2)/(x^{-2} + 3) \rightarrow \frac{(x^8 - 2)}{(x^{-2} + 3)} \ }[/tex] is not a polynomial, but a rational function.[tex]\boxed{ \ C. \ 7x^7 - 2x^{-4} + 3 \ }[/tex] is not a polynomial, because - 4 is not a whole number power. [tex]\boxed{ \ D. \ x^{-x} - 1 \ }[/tex] is not a polynomial, because - x is not a power of integer but a variable as well.Let us rephrase the following definitions.
A monomial is an algebraic expression which comprises a single real number, or the product of a real number and one or more variables raised to whole number powers. For example, [tex]\boxed{-2} \boxed{3x^2} \boxed{4a^3b^4} \boxed{-5xy^3z^2} \boxed{\frac{3}{5}}[/tex]A coefficient is each real number preceeding the variable(s) in a monomial. In the examples above [tex]\boxed{ \ -2, 3, 4, -5, \frac{3}{5} \ }[/tex] are the coefficients.A polynomial is the sum or difference of a set of monomials. For example, [tex]\boxed{ \ 2x^2 - 3xy^2 + 4x^2y \ }[/tex]Each monomial that forms a polynomial is called a term of that polynomial. For example, the term of polynomial [tex]\boxed{ \ 2x^2 - 3xy^2 + 4x^2y \ }[/tex] are [tex]\boxed{ \ 2, - 3, and \ 4. \ }[/tex]The constant term is the term of polynomial that does not contain a variable.The leading coefficient is the coefficient of the term containing the variable raised to the highest power.For example, consider the polynomial [tex]\boxed{ \ 2x^4 - 3x^2 - 4x - 5 \ }[/tex]
[tex]\boxed{ \ 2x^4, - 3x^2, - 4x, and \ - 5 \ }[/tex] are the terms of polynomial.[tex]\boxed{ \ 2, - 3, - 4 \ }[/tex] are the coefficients.- 5 is the constant term.2 is the leading coefficient.A polynomial is said to be in standard form if the terms are written in descending order of degree. For example:
[tex]\boxed{ \ 2x^4 - 3x^2 - 4x - 5 \ }[/tex] is a polynomial in standard form.[tex]\boxed{ \ - 3x^2 + 2x^4 - 5- 4x \ }[/tex] is the polynomial, but it is not in standard form.Learn moreThe remainder theorem https://brainly.com/question/950038768.32 divided by 2.8 is divisible https://brainly.com/question/5022643#Which expression is equivalent to the product of a binomial and a trinomial after it has been fully simplified https://brainly.com/question/1394854Keywords: which of the following is a polynomial, a monomial, terms, the leading coefficient, constant, in a standard form, rational function, whole number power, integer
Please help with this.
Quadrilateral ABCD is inscribed in circle O.
What is m∠C ?
Enter your answer in the box.
A store sells 1 gallon of lemonade for 7 dollars and 1 quart of lemonade for 2 dollars. Horace has 11 dollars to buy 6 quarts of lemonade for a party.Explain whether he has enough money.
Jenny said i'm thinking of fraction that is equivalent to 2/6 the numerator is 8 less than the denominator what fraction is jenney thinking of
(2x - 3y)(4x - y) Please help
starting with 25 members a club doubled its membership every year write the function f(n) that expresses the number of members after six years
The number of members after six years is 1600.
We have given that,
starting with 25 members a club doubled its membership every year write the function f(n) that expresses the number of members after six years.
What is the formula for exponential growth?
[tex]A=P(1+r)^t[/tex]
A=Amount
P=initial amount
r=rate
t=time
now, we know they're doubling every year, so the rate of growth is 100%, so whatever amount, + 100% is just double that much, therefore
[tex]A=25(1+1)^6\\A=25(2)^6\\A=1600[/tex]
Therefore we get the number of members after six years is 1600.
To learn more about exponential growth visit:
https://brainly.com/question/7920039
#SPJ2
A company developed the following linear model to help budget annual expenses over time. In this model, x represents the number of years after 2009, and y represents the expense budget (in dollars). Interpret the y-intercept. y = 189,785 + 37,896x
A. The company's expense budget for 2009 was $189,785.
B. The company's expense budget for 2008 was $37,896.
C. The company's expense budget for 2009 was $37,896.
D. The company's expense budget for 2008 was $189,785.
A 36-foot long fence is placed around a square garden. What is the length of one side of the garden? (1 point)
4 feet
6 feet
9 feet
12 feet
AC←→ is tangent to the circle with center at B.
The measure of ∠ACB is 71°.
What is the measure of ∠ABC?
Enter your answer in the box.
m∠ABC = __ °
Answer: The value of m∠ABC = 19 °
Step-by-step explanation:
Since we have given that
AC is tangent to the circle with center at B.
The measure of ∠ACB = 71°
And we know that "Radius is the shortest distance from the center to the tangent".
So, Radius is always perpendicular to the tangent.
So, the measure of ∠BAC = 90°
Consider, ΔABC, we get that
[tex]\angle ABC+\angle BAC+\angle ACB=180^\circ\\\\\angle ABC+90^\circ+71^\circ=180^\circ\\\\\angle ABC=180^\circ-90^\circ-71^\circ\\\\\angle ABC=19^\circ[/tex]
Hence, the value of m∠ABC = 19 °
If a pair of perpendicular lines are rotated, which is true?
A) Rotating perpendicular lines result in parallel lines.
B) The lines remain perpendicular only if rotated 180°.
C) The lines remain perpendicular only if rotated 360°.
D) Rotated perpendicular lines always remain perpendicular lines.
Perpendicular lines remain perpendicular after any rotation around a point on either line because rotation is a rigid motion that preserves angles and distances. Therefore, the correct answer is option D).
When a pair of perpendicular lines is rotated around any point on either line, the two lines will always remain perpendicular to each other, regardless of the angle of rotation. This is because rotation is a rigid motion, which preserves angles and distances. Consequently, if the two lines were originally perpendicular, they would continue to form a 90-degree angle with each other after any amount of rotation. In other words, the nature of perpendicular lines is such that they form four right angles at the point of intersection, and rotation around that point does not alter these angles.
A few years ago, a total of 2682 thousand people lived in the metropolitan areas of Las Vegas, Nevada, and Sacramento, California. Sacramento had 276 thousand more residents that Las Vegas. What was the population of each metropolitan area? 50 POINTS
help help help me
please
Suppose a normal distribution has a mean of 16 and a standard deviation of 4.
A value of 26 is how many standard deviations away from the mean?
−2.5
−1.5
1.5
2.5
Answer:
Correct Answer is 2.5
Step-by-step explanation:
An angle measures 44° more than the measure of a supplementary angle. what is the measure of each angle?
The correct answers are:
68° and 112°.
Explanation:
Let x be the measure of the smaller angle.
The larger angle would then be x+44.
Since the angles are supplementary, their sum measures 180°. This gives us the equation:
x+(x+44) = 180
Combining like terms, we have
2x+44 = 180
Subtract 44 from each side:
2x+44-44 = 180-44
2x = 136
Divide each side by 2:
2x/2 = 136/2
x = 68
The smaller angle measures 68°.
The larger angle is 44° more:
68+44 = 112°
which can be used to expand the expression below?
5(3x-6/7)
-
associative property
commutative property
distributive property
subtracting
According to the distributive property, Multiplying each value in the bracket by 5 ls equivalent to taking the sum of the values, then multiply the sum by 5. Hence, the distributive property is used for the expansion.
Given the expression :
5(3x - 6/7)To expand, use the distributive property, such that ;
5(3x - 6/7)
5*3x - 5*6/7
15x - 30/7
Therefore, the distributive property would be used in expanding the expression above.
Learn more : https://brainly.com/question/10169393
Ellipses have symmetry through only their major axis?
True or False?
I think false. They have them through both major and minor.,
Please help on the circle question ASAP
Which relationship shows an inverse variation?
x: 2,3,4,5
f(x):1,4,9,16
x:1,2,3,4
f(x):2,8,18,32
x:1,2,3,4
f(x):4,3,2,1
X:2,4,6,8
f(x):12,6,4,3,
Answer:
x : 2,4,6,8
f(x) :12,6,4,3
This table represents the relationship of an inverse variation.
Step-by-step explanation:
We are asked to find which relationship shows an inverse variation.
Inverse variation means that there exist a constant 'k' such that:
f(x)=k/x
or, k=x·f(x)
1)
x : 2, 3, 4, 5
f(x): 1, 4, 9, 16
if x=2 and f(x)=1
k=2
but if x=3 and f(x)=4
we get: k=12.
Hence, we do not obtain a same constant k.
2)
x: 1,2,3,4
f(x):2,8,18,32
when x=1 , f(x)=2
⇒ k=2
when x=2 , f(x)=8
⇒ k=16
Hence, we did not get a same constant 'k'.
3)
x: 1,2,3,4
f(x):4,3,2,1
when x=1, f(x)=4
⇒ k=4
when x=2 , f(x)=3
⇒ k=6
Hence, we did not get a same constant 'k'.
4)
x :2,4,6,8
f(x) :12,6,4,3
when x=2 f(x)=12
⇒ k=2×12=24
when x=4 f(x)=6
⇒ k=4×6=24
when x=6 f(x)=4
⇒ k=6×4=24
when x=8 f(x)=3
⇒ k=8×3=24
Hence, we get a constant 'k=24' for all the values of x.
Hence, option: 4 shows relationship of an inverse variation.
x :2,4,6,8
f(x) :12,6,4,3
Last winter Armand had mc009-1.jpg of a row of stacked logs. At the end of the winter he had mc009-2.jpg of the same row left. How much wood did he burn over the winter?
Answer:
the answer is 3/10 slime
Step-by-step explanation:
A bag contains 18 blocks numbered from 1 to 18. Two blocks are selected from the bag at the same time. Let event E = the two numbers differ by 11. How many outcomes are in E? A) 7 B) 14 C) 28 D) 292
Answer:
A) 7
Step-by-step explanation:
E is when the numbers differ by 11, so these pairs work:
(1, 12), (2, 13), (3, 14), (4, 15), (5, 16), (6, 17), (7, 18)
Thus, there are 7 outcomes where the numbers differ by 1
What equation is equivalent to 9^(x-3)=729?
Answer:
Next one is six
Step-by-step explanation:
Im doing the assignment rn, it always seems about halfway through an edge course brainly users lose braincells because they keep saying next one is 81.333
Draw a bar model to represent the expression m divided by 4
Bar models can be used to represent the quotient and the product of numbers or expressions
How to draw the bar modelRepresent the division of m by 4 with x.
So, we have:
[tex]\frac m4 = x[/tex]
Multiply both sides of the equation by 4
[tex]4 * \frac m4 = x * 4[/tex]
Evaluate the products
[tex]m = x * 4[/tex]
So, we have:
[tex]m =4x[/tex]
See attachment for the bar model
Read more about quotients at:
https://brainly.com/question/7068223
Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers, (k), she can drive with 12 liters of fuel. She assumes the relationship between kilometers and fuel is proportional. How many kilometers can Pamela drive with 12 liters of fuel?
If a plane slices a cube through three points that are equidistant from one of its vertices, which of the following best describes the cross-section of the cube?
Answer:
Triangle
Step-by-step explanation:
A cube is a three-dimensional figure with six congruent square faces. The cube below is sliced by a plane through three points that are equidistant from one of its vertices.
The cross-section created by the plane is an equilateral triangle.
Therefore, traingle is the best choice.
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
A bowling ball leaves a bowler's hand. An accelerometer inside the ball reads zero. Which of the following best describes what happens to the ball?
A. The ball speeds up.
B. The ball moves at a constant speed.
C. The ball curves toward the gutter.
D. The ball slows down.
Not quite sure what this means :( Thanks!! @perl :)
Your friend is looking at laptops for college, and is comparing the different screen sizes. Use the diagram and formula below to find the width of the laptop screen. Round your answer
D= W^2+H^2
(The image of the figure is a rectangle in half, the top side is D= 17inch the H= 9inch, W is blank)
Mutiple choices are
A. W= 16.7 inch
B. W= 9.9 inch
C. W= 8 inch
D. W= 14.4 inch
Answer:
The Answer is 14.4inch for Apex!
Step-by-step explanation:
Easy Algebra 2 Rational Expressions question
100 POINTS!!!!!!!!!!!!!!! whats is 9 times 7 times 4777 times 2 plus 3636363636363 times 700 times 4 minus 5 time 6999999996950 plus 300 times 400
Please help :( 2 questions..
If c(x)=5/x-2 and d(x)=x+3 what is the domain of (cd)(x)?
And, if f(x)=7+4x and g(x)=1/2x, what is the value of (f/g)(5)?,