Which of the following are polynomials?
A. x^2 + x + 1/x^2 + 1
B. 2/x^3 + x + 1/2
C. 2/3x^2 + x + 1
D. x^2/3 + 0x + 1
E. x^3 + 2x + square root of 2
Answers
Answer:
The polynomials are:
[tex]\frac{2}{3}[/tex] x² + x + 1 ⇒ C
x³ + 2x +√2 ⇒ E
Step-by-step explanation:
A polynomial: is an expression consisting of variables and coefficients, with the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables
A polynomial never division by a variableA polynomial could be one term, and it could be just a constantLet us solve the question
∵ The polynomial never division by a variable
∵ Answer A and B have a division in variable ⇒ ( [tex]\frac{1}{x^{2}+1 }[/tex] , [tex]\frac{2}{x^{3}}[/tex] )
∴ Answers A and B are not polynomials
∵ The polynomial has integer exponents of variables
∵ Answer D has a fraction exponent of x ⇒ [tex]x^{\frac{2}{3}}[/tex]
∴ Answer D is not a polynomial
∵ [tex]\frac{2}{3}[/tex] x² + x + 1 has a non-negative integer exponent of x
∵ There is no division by x
∴ [tex]\frac{2}{3}[/tex] x² + x + 1 is a polynomial
∵ x³ + 2x +√2 has a non-negative integer exponent of x
∵ There is no division by x
∴ x³ + 2x +√2 is a polynomial
∴ The polynomials are [tex]\frac{2}{3}[/tex] x² + x + 1 and x³ + 2x +√2
Answer:
Step-by-step explanation:
Related Questions
Find the angle BAD (pls)
Answers
Answer:
A. 82
hope it helps....
Gumbo had 492 baseball cards in his collection. First, he divided them evenly among
4 shoe boxes. Then, he divided the cards in each shoe box evenly among 3 card
albums. How many cards were in each card album?
41
164
123
31
Answers
Step-by-step explanation:
There are 41 cards were in each card album.
in a school 45% of students are girls if there are 110 boys find the total number of students the number of girls full process
Answers
Answer:
Total number of students = 200
The number of girls = 90
Step-by-step explanation:
Girls = 45%
Boy = (100 - 45)% = 55%
Let the total students = x
Number of boys = 110
55% of x = 110
[tex]\frac{55}{100}*x = 110\\\\ x = 110*\frac{100}{55}\\\\ x = 10 * \frac{100}{5}\\\\[/tex]
x = 2 * 100
x = 200 students
Girls = 45% of x
[tex]= \frac{45}{100}*200[/tex]
= 45 * 2
Girls = 90
fatima donates 20000 rs to a school ,the interest on which is to be used for awarding 5 scholarships of equal value every year. If the donater earns an interest of 10% per annum,find the value of each scholarship
Answers
Answer: ₹400
Step-by-step explanation:
The interest is 10% of ₹20,000 which is;
= 10% * 20,000
= ₹2,000
It is to be awarded to 5 scholarships of equal value. Each scholarship is there valued at;
= 2,000/5
= ₹400
PLEASE HELP!!!
One year after you buy a tree, it is 10 feet tall. Each year after you buy the tree, it grows 2 feet. Write a function that represents the arithmetic sequence. How long does it take for the tree to reach its maximum height of 28 feet?
Answers
Answer:
y=2x+10
Step-by-step explanation:
y is the height x is the number of years
It takes 9 years for it to reach 28ft
PLZ HELP 50 POINTS
1. The slopes of the sides of a triangle are 3/4, -1/2, and 2.
Is the triangle a right triangle?
If so, explain how you know that it is a right triangle.
Answers
Answer:
cuz of the 3\4 and the 1\2
Step-by-step explanation:
Choose which postulate proves the triangles congruent.
(please answer for all of them thanks in advance)
Answers
9514 1404 393
Answer:
ASA, SAS, SSS, SAS, ASA
Step-by-step explanation:
In order of attachments, left to right:
1) ASA . . . . the bisected angles are on either end of the common segment. ∆ABC ≅ ∆ADC
__
2) SAS . . . . the vertical angle lies between the sides congruent by virtue of the midpoint being X. ∆RSX ≅ ∆PQX
__
3) SSS . . . . two sides and the shared segment are congruent. ∆KLM ≅ ∆KGM
__
4) SAS . . . . the parts of the bisected angle lie between the congruent sides and the common side. ∆WXZ ≅ ∆YXZ
__
5) ASA . . . . the common segment lies between parts of a bisected angle and ones that are given as congruent. ∆PQR ≅ ∆SQR
Jared and Mike are racing
to meet at the park which
is 4 miles away from their
house. Jared runs at a rate
of 1 mile every 10 minutes
and Mike runs at a rate of
0.5 miles every 4 minutes.
Who will get there first?
Answers
HURRY PLEASE
Based the equation, what is
the slope
y= 3x+1
Answers
Answer:
3
Step-by-step explanation:
y=mx + b, slope = m.
change the recurring decimal into fraction, 3.256
Answers
Answer:
407/125
Step-by-step explanation:
3.256=3256/1000
814/500
407/125
Gas costs $1.64 a gallon. Elaine spent $23.78 at a gas station. How many gallons of gas did she buy? (Tell me how you got the answer)
Answers
Answer:
if the cost on gas is 1.64 you can divide 23.78 by 1.64 which is 14.5
Step-by-step explanation:
23.78 divided by 1.64 =14.5
Answer:
14.45
Step-by-step explanation:
Help please!!!!ASAP! Ill give brainliest! And 50pts!
What is the value of q?
Answers
Gareth enjoys swimming. The graph represents Gareth’s distance in feet from the bottom of the pool in terms of the time he swims in minutes. What is the rate of change of Gareth’s distance from the bottom of the pool with respect to time, and what is his initial distance from the bottom? A. rate of change = 0 feet per minute, and distance = 0 foot B. rate of change = 12 feet per minute, and distance = 12 feet C. rate of change = 12 feet per minute, and distance = 0 foot D. rate of change = 0 feet per minute, and distance = 12 feet
Answers
Answer:
D.
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
The ages of 10 randomly selected students in a piano class are recorded below. 12, 14, 16, 15, 14,
18, 11, 12, 14, 15
What is a good estimate of the average age of all the students in the piano class?
A: 12 years
B: 14 years
C: 18 years
D: 16 years
Answers
Answer:A ..
Step-by-step explanation:
Plz help what is 1 and 2:)!!!
Answers
A hiker walks at a speed of 3 2/5 km per hour. How many km will the hiker walk in 40 min?
Answers
Answer:
2 4/15 km
Step-by-step explanation:
We know from the above question that:
A hiker walks at a speed of 3 2/5 km per hour.
Step 1
Convert 40 minutes to hour
60 minutes = 1 hour
40 minutes = x
Cross Multiply
60x = 40
x = 40/60
x = 2/3hr
Step 2
How many km will the hiker walk in 40 min?
The above question can be calculated as:
1 hour = 3 2/5km
2/3 hour = x km
Cross Multiply
1 × x km = 2/3 × 3 2/5 km
x km = 2/3 × 17/5 km
x km = 34/15 km
x km = 2 4/15 km
Hence the hiker would walk 2 4/15 km in 4 minutes
The equation y=5x represents a proportional relationship. What is the constant of proportionality.
Answers
Answer:
5
Step-by-step explanation:
it is the constant slope 5 over 1
A certain sum of money doubles itself in 8 years. How much time will it take to triple itself at the same rate?
[Irrelevant answers will be reported]
Answers
Answer:
It will take 12years to triple itself
Step-by-step explanation:
let the sum of money=x
In 8years x becomes 2x
thus
2x-8years
Then 3x-?
Using ratio and proportion,
x=3/2×8years=12years
If the simple interest on $7,000 for 3 years is $1890, then what is the interest rate?
Answers
Answer:
I = Prt
Interest = Principal x rate x time
Step-by-step explanation:
1890 = 7000(3)r
1890 = 21000r
r = 1890/21000
r = .09 or 9%
An aquarium has a base in the shape of a trapezoid. The base is 80 cm long at the front, 50 cm long at the back, and 30 cm wide (from front to back). The height is 100 cm. What is the volume of the aquarium in litres?
Answers
Answer:
The volume of the aquarium is 195 litres.
Step-by-step explanation:
The volume ([tex]V[/tex]), measured in cubic centimetres, of the aquarium is equal to the area of the base multiplied by the height. That is:
[tex]V = \frac{1}{2}\cdot (L+l)\cdot w\cdot h[/tex] (1)
Where:
[tex]L[/tex] - Long leg length of the aquarium, measured in centimetres.
[tex]l[/tex] - Short leg length of the aquarium, measured in centimetres.
[tex]w[/tex] - Width of the aquarium, measured in centimetres.
[tex]h[/tex] - Height of the aquarium, measured in centimetres.
If we know that [tex]L = 80\,cm[/tex], [tex]l = 50\,cm[/tex], [tex]w = 30\,cm[/tex] and [tex]h = 100\,cm[/tex], then the volume of the aquarium is:
[tex]V = \frac{1}{2}\cdot (80\,cm+50\,cm)\cdot (30\,cm)\cdot (100\,cm)[/tex]
[tex]V = 195000\,cm^{3}[/tex]
If we know that a litre equals 195000 cubic centimetres, then the volume of the aquarium is:
[tex]V = 195000\,cm^{3}\times \frac{1\,L}{1000\,cm^{3}}[/tex]
[tex]V = 195\,L[/tex]
The volume of the aquarium is 195 litres.
Someone can help me with this?
Answers
Answer:
VUT- FEG
QRS-QGF
Step-by-step explanation:
R holdA company claims that their new bottle holds 25% more laundry soap. If their original container held 53 fluid ounces of soap, how much does the new containe?
Answers
Answer:
66.25 fluid ounce
Step-by-step explanation:
Given that :
Capacity of original container = 53 fluid ounces
Percentage addition of new container = 25%
Capacity of new container :
Capacity of original container * ( 1 + percentage addition)
53 * ( 1 + 0.25)
53 * (1.25)
= 66.25 fluid ounce
The function c(x) = 18x -10 represents the cost in dollars. How many tickets can you buy?
Answers
Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.
So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 530 dollars.
The solution would still clear your concept though.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
c(x) = 18x -10
The slope-intercept form of the line equation
We know that the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
so
c(x) = 18x - 10
comparing with the slope-intercept form of the line equation
rate of change = 18c(x) or y represents the cost'x' represents the number of ticketsAssuming the total cost i.e. c(x) = $530
In order to determine the value of x, set c(x) = 530
i.e.
530 = 18x -10
switch sides
18x - 10 = 530
add 10 to both sides
18x - 10 + 10 = 530 + 10
18x = 540
Divide 18 to both sides
18x/18 = 540/18
x = 30
Therefore, if you can buy x = 30 tickets if you pay 530 dollars.
If a certain number is increased by 5, one-half of the result is three fifths of the excess of 61 over the number. find the number
Answers
Step-by-step explanation:
Let the number be x X×5 =1/2 × 3/5 × 615X = 18 X = 18/5 X =3.388 multiplied by 10000
Answers
Answer:
880,000
I hope this helps!
Answer:
880,000
Step-by-step explanation:
10000 x 88 = 880000
When multiplying by anything with zero's, without decimals. You will multiply your two numbers (other than 0) by each other, then add however many zero's there are total to the end.
Solve each of the following: Show your work. 3 movie tickets cost $36. At this rate, what is the cost per ticket? 3 ice cream cones cost $8.25. At this rate, how much do 2 ice cream cones cost? 3 bananas cost $0.99. At this rate, how much do 5 bananas cost?
Answers
Answer: Look below for the answers
Step-by-step explanation:
unit rates...
MOVIE TICKETS
$36/3=12
$12 for each ticket so
ICE CREAM CONES
$8.25/3=$2.75
$2.75 for each cone so
2 icecream cones cost $5.5
BANANAS
.99/3=.33
.33 for each banana so
.33*5=$1.65
Which lines are parallel? Check all that apply
A: B||F
B: B||D
C: C||E
D: C||D
E: D||F
F: E||F
Answers
Answer:
Options A, C and D
Step-by-step explanation:
Option A
Angle p = 180° - 89.5° = 90.5° [Linear pair of angles]
If b║f and line a is a transversal line,
m∠p = 90.5° [Alternate exterior angles]
True
Option B
If B║D and line a is a transversal,
m∠q = 89.5° [vertically opposite angles]
∠q + 89.5° = 89.5° + 89.5° = 179°
But angles q and angle with measure 89.5° are the consecutive interior angles and their sum should be 180°.
So the given statement is False.
Option C
c║e
Since, m∠r = 91.5° [Vertically opposite angle]
And m∠r + 89.5° = 180° [Consecutive interior angles]
True.
Option D
c║d
Since, ∠r and ∠q are consecutive interior angles,
m∠r + m∠q = 180°
91.5° + 89.5° = 180°
True
Option E.
d║f
m∠s = 90.5°[Vertically opposite angles]
Since, ∠s and angle with measure 89.5° are the alternate interior angles,
So measure of angle s should be 89.5°.
Therefore, d║f is False.
Option F.
If e║f, angles with measures 89.5° and 90.5° should be equal.
But measures of both are different.
Therefore, e║f is False.
Options A, C and D are the correct options.
During a two-day golf tournament, Fran scored +3 on the first day and -1
on the second day. What was her overall score for the tournament?
Answers
Answer:
+ 2
Step-by-step explanation:
+ 3 + (- 1) = + 2
Need help please come help
Answers
Answer:i ate cookies
Step-by-step explanation:
can someone help me
Answers
Answer:
a: the points graphed would be: (5,4), (3,5), (2,3), (3,6), (1,1)
b: the domain is: 5, 3, 2, 3, 1 and the range is: 4, 5, 3, 6, 1
c: the relation is not a function because some of the x-values are repeated
Step-by-step explanation: