Which algebraic expression is a trinomial? x3 + x2 – 2x3 – x2 4x3 + x2 – x6 – x +
Answers
The only trinomial among the four expressions is x^6 −x+ √6 .
A trinomial is an algebraic expression with three terms, each containing a power of the variable raised to a non-negative integer and multiplied by a coefficient.
Let's analyze each expression:
x^3 + x^2 - √x: This has three terms (x^3, x^2, and -√x), but √x contains a fractional exponent, which is not allowed in a polynomial (and therefore, a trinomial). So, it's not a trinomial.
2x^3 - x^2: This has two terms (2x^3 and -x^2), not three. Therefore, it's not a trinomial.
4x^3 + x^2 - 1/x: This has three terms (4x^3, x^2, and -1/x), but 1/x is equivalent to x^-1, which is a negative exponent.
Similarly to option 1, this violates the non-negative integer exponent requirement for polynomials. So, it's not a trinomial.
x^6 - x + √6: This has three terms (x^6, -x, and √6). Note that √6 does not contain a variable and can be considered a constant, satisfying the polynomial and trinomial requirements. Therefore, this is a trinomial.
In, the only trinomial among the given options is: 4. x^6 - x + √6 .
The trinomial expression is C. [tex]\(4x^3 + x^2 - \frac{1}{x}\).[/tex]
A trinomial is an algebraic expression consisting of three terms. Let's examine each option:
a. [tex]\(x^3 + x^2 - \sqrt{x}\)[/tex] - This is a polynomial expression, but it only has two terms, so it's not a trinomial.
b. [tex]\(2x^3 - x^2\)[/tex] - This expression has two terms, so it's not a trinomial.
c. [tex]\(4x^3 + x^2 - \frac{1}{x}\)[/tex] - This expression has three terms, so it is a trinomial.
d. [tex]\(x^6 - x + \sqrt{6}\)[/tex] - This expression also has only three terms, so it is a trinomial.
So, the correct answer is:
C. [tex]\(4x^3 + x^2 - \frac{1}{x}\)[/tex]
Complete Question:
Which algebraic expression is a trinomial?
a. [tex]$x^3+x^2-\sqrt{x}$[/tex]
b. [tex]$2 x^3-x^2$[/tex]
c. [tex]$4 x^3+x^2-\frac{1}{x}$[/tex]
d. [tex]$x^6-x+\sqrt{6}$[/tex]
Related Questions
The stop sign is a regular octagon, so the measure of ∠F must be 67.5°. What is the angle measure for ∠L? Describe the relationship between ∠F and ∠L. (1 point)
Answers
Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle-degree. Hope this helps <3
Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle degree.
What are alternate interior angles?Alternate interior angles are formed when a transversal passes through two lines.
The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.
In the figure,we can see that ∠F and ∠L are alternate interior angles.
So the angles are ∠F=∠L=67.5
Hence Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle degree.
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Reduce to simplest form. 5/3 + (-7/6)=
Answers
Answer:
1/2
Step-by-step explanation:
You can add fractions which have the same denominator. 3 and 6 share multiples and so can form a common denominator. 3 can become 6 by multiplying by 2. Multiply both numerator and denominator of 5/3 by 2. It becomes 10/6 +-7/6 =3/6=1/2
The price of a board game was reduced from $40 to $20. By what percentage was the price of the board game reduced? Show work please
Answers
50% because half of 40 is 20
40-20 = 20. 20 divided by 40 = 0.5. Therefore, it was a 50% decrease
if the box holds 24 of these sugar cubes,what is the total volume of the box?
Answers
Answer:
[tex]V_{box}=3u^{3}[/tex]
Step-by-step explanation:
The complete question is
If the box holds 24 of these sugar cubes what is the total volume of the box.
The sugar cubes are 1/2 x 1/2 x 1/2
The total volume of the box would be the volume of each sugar cube multiplied by 24, because the box is formed by those 24 sugar cube.
The volume of one sugar cube
[tex]V_{cube}=\frac{1}{2}\times \frac{1}{2} \times \frac{1}{2}=\frac{1}{8} u^{3}[/tex]
We have 24 of them, so the volume of the whole box is
[tex]V_{box}=24\frac{1}{8}u^{3}\\ V_{box}=3u^{3}[/tex]
Therefore, the volume of the box is
[tex]V_{box}=3u^{3}[/tex]
To find the total volume of the box holding 24 sugar cubes, calculate the volume of a single sugar cube and multiply by 24.
Explanation:The total volume of the box can be determined by finding the volume of a single sugar cube and multiplying it by the number of cubes in the box. Since the question does not provide specific dimensions of the sugar cube, let's assume the cube has sides of 1 cm. The volume of a cube is found by cubing the length of a side. So, the volume of a single sugar cube is 1 cm x 1 cm x 1 cm = 1 cubic cm. Since the box holds 24 sugar cubes, the total volume of the box is 24 cubic cm.
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14 is 70% of what number? Enter your answer in the box.
Answers
Answer:
20
Step-by-step explanation:
We have, 70% × x = 14
or,
70 /100 × x = 14
Multiplying both sides by 100 and dividing both sides by 70,
we have x = 14 × 100 /70
x = 20
If you are using a calculator, simply enter 14×100÷70, which will give you the answer.
Answer:
Step-by-step explanation:
the answer is 20
I need help with this one please..
Answers
I think it's 60 I'm NOT sure. I just multiplied those three numbers
Georgia is a farmer and wants to plant a crop of tomato plants so she can sell her crop at the local farmer's market. She already has a large number of plants cultivated from last year's harvest. Each should produce an average of 35 tomatoes per plant during the growing season. She has found a nursery to buy more tomato plants at which are a different type. She found that these tomato plants will cost $5.25 each and should produce 25 tomatoes per plant on average over the course of the growing season. When planting, she wants to arrange the plants so that there are 5 fewer plants in each column than there are in each row. Georgia can spend no more than $500 on the tomato plants. In order to meet customer demands, she needs to produce at least 5,000 tomatoes during the growing season. Let x represent the number of plants in a row, and let y represent the number of plants that Georgia already has. Create a system of inequalities to find the number of plants in a row and the number of plants Georgia already has, and use it to determine how many of the solutions are viable.
Answers
Answer:
D None of the solution region is viable because there cannot be a negative number of tomato plants in a row and she can not have a negative number of tomato plants already on hand.
Step-by-step explanation:
I got this of an other page through my searching, and it won the brainliest so it must be correct, there can be considered an answer of no solution region as an answer but this what I think is false so as I said,
None of the solution region is viable because there cannot be a negative number of tomato plants in a row and she can not have a negative number of tomato plants already on hand.
is the answer
Answer:
its the one that says only some are viable because some are negative i took it on PLATO and that was the answer :)) i hope this helps
Step-by-step explanation:
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $35 and same-day tickets cost $15. For one performance, there were 60
tickets sold in all, and the total amount paid for them was $1300. How many tickets of each type were sold?
Answers
Answer:
26 of each
Step-by-step explanation:
To solve write this as an equation (35x)+(15x)=1300
For this case we have:
x: Variable representing the types of advance input
y: Variable representing the same-day entry types
We have according to the cost:
[tex]35x + 15y=1300[/tex]
According to the number of tickets:
[tex]x + y = 60[/tex]
We have a system of two equations with two unknowns:
[tex]35x + 15y = 1300\\x + y = 60[/tex]
We multiply the second equation by -35:
[tex]35x + 15y = 1300\\-35x-35y = -2100[/tex]
We add:
[tex]-20y = -800\\y = \frac {800} {20}\\y = 40.[/tex]
Thus, 40 same-day tickets were sold.
[tex]x + 40 = 60\\x = 60-40\\x = 20[/tex]
20 advance tickets were sold
Answer:
20 advance
40 same-day
Plz help me with this
Answers
Answer: [tex]\bold{c)\quad \dfrac{\pi}{2}}[/tex]
Step-by-step explanation:
sin is an odd function and cos is an even function.
To convert a sin graph to a cos graph, shift the sin graph [tex]\dfrac{\pi}{2}[/tex] units to the right --> C = [tex]\dfrac{\pi}{2}[/tex]
What is the probability that a customer ordered a large given that he or she ordered a hot drink?
Answers
Answer: 29%
Step-by-step explanation:
A total of 75 people ordered a hot drink. 22 of them ordered a large.
22/75 = 29 (to the nearest percent)
write each decimal as a fraction in simplest form 0.5
Answers
Answer:
1/2
Step-by-step explanation:
0.5 is half and can be represented many ways such as 4/8, 6/12, 50/100 etc. But the simplest form is 1/2.
6. Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena starts with $10 in her savings account and adds $20 each week.
a. After four weeks, who has more money in the
who has more money in their savings account? Explain how you know.
b. after how many weeks will Andre and Elena have the same amount of money in their savings
accounts?
Answers
Andre saves more money than Elena after four weeks and after 6 weeks the savings of Andre and Elena is the same and this can be determined by forming the linear equation.
Given :
Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week.Elena starts with $10 in her savings account and adds $20 each week.Let w represents the total number of weeks. So, the linear equation that represents the situatuion "Andre starts with $100 in his savings account and adds $5 per week" is:
S = 5w + 100
The linear equation that represents the situatuion "Elena starts with $10 in her savings account and adds $20 each week" is:
S' = 20w + 10
a) After four weeks the savings of Andre is given by:
S = 5(4) + 100
S = 20 + 100
S = $120
After four weeks the savings of Elena is given by:
S' = 20(4) + 10
S' = 80 + 10
S' = $90
So, Andre saves more money than Elena after four weeks.
b) Now, the number of weeks after which the savings of Andre and Elena are the same is:
5w + 100 = 20w + 10
Simplify the above equation in order to determine the value of 'w'.
90 = 15w
w = 6
So, after 6 weeks the savings of Andre and Elena is the same.
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Can anyone help me please
Answers
Answer:
Step-by-step explanation:
I believe it should be 252 total pretzels so since theres nine friends and each one gets 28 so 28 x 9 equals 252. Hope it helps :)
I don’t understand how I’m supposed to do this problem!
Answers
Answer:
$36.75
Step-by-step explanation:
We can determine that 7% is also 0.07 (if we convert a percent to a decimal).
We can find the sales tax for the pool by multiplying the sale price and the sales tax rate.
[tex]525*0.07=36.75[/tex]
So the sales tax is $36.75
What is the vertical shift of the graph of the parent cosecant function to the graph of the function below?
A. 1 unit down
B. 2 units down
C. 3 units down
D. 4 units down
Answers
Answer:
Option: C is the correct answer.
C. 3 units down.
Step-by-step explanation:
We know that the graph of a cosecant function has a minimum value for a upward open curve as : 1
It could be seen from the graph.
But here the minimum value of the upward open curve in the transformed function is: -2
This means that the vertical shift is given by:
-2-1=-3
This means that there is a vertical shift of 3 units down in the parent function.
Answer:
3 units down
Step-by-step explanation:
Which measure of center would be best to compare the data sets?
Answers
Answer:
Choosing the "best" measure of center. Mean and median both try to measure the "central tendency" in a data set. The goal of each is to get an idea of a "typical" value in the data set. The mean is commonly used, but sometimes the median is preferred.
Step-by-step explanation:
Final answer:
To compare data sets, one must consider whether to use the mean or the median. The mean is suitable for symmetric, outlier-free distributions, while the median is better for skewed data or data with outliers.
Explanation:
Comparing Data Sets Using Measures of Center
When comparing data sets to understand the center, it's crucial to choose the most appropriate measure of center. The mean and the median are the two most common measures. The mean, which is the sum of all values divided by the number of values, is a great indicator of the center for symmetric distributions without outliers. In contrast, the median, which is the middle value in an ordered list, is robust to outliers and is better for skewed distributions.
To determine which measure to use, consider whether the data contain outliers or extreme values that could heavily influence the mean. If so, the median would be a better representation of the center. Moreover, the shape of the data set (symmetrical vs. skewed) and the presence of outliers or extreme values are crucial considerations. The median appears more suitable for skewed data sets, while the mean could be a more accurate measure for symmetric, outlier-free data.
Which set of coordinates does not represent a function?
Answers
Answer:
C
Step-by-step explanation:
There are two outcomes for the input of 1 in the value of x, which violates the standards of a function
For the single value of x, the value of y will be single. Then option C does not represent a function.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function
We know that the value of x must be different.
For the single value of x, the value of y will be single.
Then option C does not represent a function.
More about the function link is given below.
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how many time can 7 go into 60
Answers
Answer:
8 times? I'm not sure its actually 8 times with remainder of 4
Step-by-step explanation:
8 x 7 = 56
[tex]60 \div 7 = 8.57[/tex]
Plz help! I have no idea how to do it!
Answers
Answer:
5
Step-by-step explanation:
(80 points)
Please help! Show all of your work for your answers as well.
Answers
Answer:
[tex]\large\boxed{Q1.\ A=\dfrac{5}{6}x^2}\\\boxed{Q2.\ 250m^{12}n^{-3}=\dfrac{250m^{12}}{n^3}}\\\boxed{Q3.\ \dfrac{81x^{16}y^{36}}{16z^{28}}}\\\boxed{Q5.\ y^\frac{1}{2}=\sqrt{y}}[/tex]
Step-by-step explanation:
[tex]Q1.\\\\\text{The formula of an area of a triangle:}\\\\A_\triangle=\dfrac{bh}{2}\\\\b-\ \text{base}\\h-\text{height}\\\\\text{We have}\ b=\dfrac{5}{3}x,\ h=x.\ \text{Substitute:}\\\\A_\triangle=\dfrac{\left(\frac{5}{3}x\right)(x)}{2}=\dfrac{5x^2}{(3)(2)}=\dfrac{5}{6}x^2[/tex]
[tex]Q2.\\\\2(5m^4n^{-1})^3\qquad\text{use}\ (ab)^n=a^nb^n\\\\=2(5^3)(m^4)^3(n^{-1})^3\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=(2)(125)(m^{4\cdot3})(n^{-1\cdot3})\\\\=250m^{12}n^{-3}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{250m^{12}}{n^3}[/tex]
[tex]Q3.\\\\\left(-\dfrac{3x^4y^9}{2z^7}\right)^4\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\ \text{and}\ (ab)^n=a^nb^n\\\\=\dfrac{3^4(x^4)^4(y^9)^4}{2^4(z^7)^4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\dfrac{81x^{4\cdot4}y^{9\cdot4}}{16z^{7\cdot4}}=\dfrac{81x^{16}y^{36}}{16z^{28}}[/tex]
[tex]Q4.\\\\\left(x^0y^{\frac{1}{3}\right)^\frac{3}{2}\cdot x^0\qquad\text{use}\ a^0=1\ \text{for any value of}\ a\ \text{except}\ 0\\\\=\left(1\cdot y^\frac{1}{3}\right)^\frac{3}{2}\cdot1\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=y^{\left(\frac{1}{3}\right)\left(\frac{3}{2}\right)}\qquad\text{cancel 3}\\\\=y^\frac{1}{2}\qquad\text{use}\ \sqrt[n]{a}=a^\frac{1}{n}\\\\=\sqrt{y}[/tex]
answer plz fast
will mark brainlist
Answers
hence x is1
hope it helps you!!!!!!
Answer:
x = 3
Step-by-step explanation:
Combine the 3 fractions on the left side.
[ note x ≠ - 1, 0, + 1 as this would make the fractions undefined ]
Multiply the numerators/ denominators by the lowest common multiple of
x - 1, x + 1, x , that is x(x - 1)(x + 1), that is
[tex]\frac{x(x+1)}{x(x-1)(x+1)}[/tex] + [tex]\frac{2x(x-1)}{x(x-1)(x+1)}[/tex] - [tex]\frac{3(x-1)(x+1)}{x(x-1)(x+1)}[/tex] = 0
distribute and simplify the numerators
[tex]\frac{x^2+x+2x^2-2x-3(x^2-1)}{x(x-1)(x+1)}[/tex] = 0
[tex]\frac{x^2+x+2x^2-2x-3x^2+3}{x(x-1)(x+1)}[/tex] = 0
[tex]\frac{3-x}{x(x-1)(x+1)}[/tex] = 0
The denominator cannot equal zero only the numerator, hence
3 - x = 0 ⇒ x = 3
Normal vision is called 20-20 vision. These numbers are actually a ratio—a comparison of the distance you can see to the distance a normal-sighted person can see. For example, a person with 20-30 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 30 feet. Based on this knowledge, explain what the following numbers mean regarding vision.
a. 20-100
b. 20-40
Answers
Answer:
See below.
Step-by-step explanation:
a. A person with 20-100 vision can see from a distance of 20 feet what a person with 20-20 vision can see from 100 feet.
b. If you have 20-40 vision you can see from 20 feet what a person with 20-20 vision can see from 40 feet.
Answer:
The explanations are provided below:
Step-by-step explanation:
a. A person with 20-100 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 100 feet. This simply means that the person can see about 100 feet what a normal sighted person can.
b. A person with 20-40 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 40 feet.
This is the same as explanation (a).The person can see from a distance of 40 feet what a normal person can see.
i need help asap! please
Answers
Answer:
11.25
Step-by-step explanation:
The slope is [tex]\frac{3}{4}[/tex]
Using this we can find Δx and Δy.
The slope is Δy/Δx
And Δx is 15 since the number of units from 12 to 27 is 15.
So Δy/15 = [tex]\frac{3}{4}[/tex]
Multiply so they have common denominators.
4Δy/60 = [tex]\frac{45}{60}[/tex]
Multiply each side by 60 and solve.
4Δy = 45
Δy = 11.25
So the length of x is 11.25
Solve for B. B x 2 = 36
Answers
The answer is 18 . Because 36 divided by 2 is 18
Answer: The answer is 18.
Step-by-step explanation: I know this because 18 is half of 36 and if you add 18 + 18 it will be the same as 18 x 2.
I hope this helps! :}
Help in this better study state test
Brainlist+points
Please explain:’|!
Answers
Answer:
D.51,00
Step-by-step explanation:
To turn percentages to decimals you divide by 100. 80/100=.8. Now multiply this by how many people attended the game. .8 x 64,000= 51,200
48 divided by four fifths
Answers
Answer:
The answer is 60.
Step-by-step explanation:
[tex]\frac{48}{1}[/tex]÷[tex]\frac{4}{5}[/tex]
Now, apply the fraction rule(\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}):
[tex]\frac{48}{1}[/tex]×[tex]\frac{5}{4}[/tex]
Cross-cancel(common factor of 4):
[tex]\frac{12}{1}[/tex]×[tex]\frac{5}{1}[/tex]
Multiply:
[tex]\frac{12 x 5}{1 x 1}[/tex]
Simplify:
12 x 5=60
The answer is 60
hope this helps :)
I don’t understand this question please help
Answers
Answer:
i think A or B but im not sure
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
-2 and -3 are connected
While positive 2 and -3 are also connected
So youre looking for which two x's share a y
Please answer ASAP! 100 points!
Simplify the expression: (2x-3y)^2/(3y-2x)^2
Answers
Answer:
[tex]\large\boxed{\dfrac{(2x-3y)^2}{(3y-2x)^2}=1}[/tex]
Step-by-step explanation:
[tex]\dfrac{(2x-3y)^2}{(3y-2x)^2}=\dfrac{(2x-3y)^2}{\left(-1(2x-3y)\right)^2}\qquad\text{use}\ (ab)^n=a^nb^n\\\\=\dfrac{(2x-3y)^2}{(-1)^2(2x-3y)^2}=\dfrac{(2x-3y)^2}{1(2x-3y)^2}=\dfrac{(2x-3y)^2}{(2x-3y)^2}=1[/tex]
23 1/8 as an improper fraction
Answers
Answer:
185/8
Step-by-step explanation:
23 1/8
23*8=184+1=185
over 8
Start by multiplying 23 and 8. This gives 184.
Next, add 184 and 1. 185
Lastly, put 185 over the denominator
The answer is: 185/8
When baking a cake, you have a choice of the following pans:
*a round cake pan that is 2 inches deep and has a 7 inch diameter.
*a 6 inch x 9 inch rectangular cake pan that is 2 inches deep.
Which of these pans has the larger volume? Justify your answer
PLEASE ANSWER ASAP TODAY!!!
Answers
Answer:
It is 6x9
Step-by-step explanation:
Simple match 9x6 54 and 7x2 14 well I would rather have 54 units of cake that 14 Lol
Answer:
The rectangular cake pan has greater volume compared to the round cake pan.
Explanation:
If baking this cake, I would use a rectangular cake pan because it's volume is a total of 108 square inches. The round cake pan, on the other hand, has the total volume of 76.97 square inches. In conclusion, the rectangular cake pan has greater volume compared to the round cake pan.
Note:
Hope this helps! Have a wonderful rest of your day!
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