Identify whether the following expression is a polynomial. If it is, identify the type according to the number of terms.
6x^2 + x + 1

Answers

Answer 1

Answer:

The expression is a polynomial.

Trinomial (according to the number of terms)

Step-by-step explanation:

Given the algebraic expression, 6x² + x + 1:

A term comprises of a product of numerical coefficient and one of more variables raised to powers.  Like terms have the same variables and exponents.

While a polynomial is a term (or finite sum of terms), comprising of variables with positive or zero integer exponents. Strictly defined, the terms within a polynomial expression cannot include variables as a denominator.  

A monomial is a single-termed polynomial.

A binomial is a polynomial with two terms.

A trinomial is a polynomial that has exactly three terms.

With these given definitions, we can infer that the given polynomial expression, 6x² + x + 1,  is a trinomial, given that it has three terms:

6x² is the leading term with the highest degree or exponent. Specifically, the name of this term is quadratic, given its exponent of 2. x is a linear term, given its exponent of 1. 1 is a constant term.

Therefore, the given expression is a polynomial containing three terms, making it a trinomial.    


Related Questions

Polly buys 6.8 yards of fabric for $28.90. What is the cost per yard?

Please help? :)​

Answers

Answer:

Polly has to pay $0.24 per yard of fabric.

Step-by-step explanation:

You simply have to divide the 6.8 yards by the $28.90 cost. The result is $0.235294118 dollars per yard, but since you can't have only half a cent, we will round it to the nearest hundredths and get $0.24 dollars.

What is the total volume of both storage spaces if one side of the large storage space is 4 feet long?

Answers

The total volume of both storage is 76 ft³

What is Volume of cube?

The number of cubic units that a cube totally occupies is determined by its volume. The cubic unit of measurement for the volume of a cube includes centimetres³, metres³, inches,³ feet³, etc.

A solid three-dimensional shape with six square faces or sides is known as a cube. The total amount of space a cube takes up is its volume. The cube's square form means that all of its sides are square, and as a result, all of its edges will be of equal length. As a result, the cube's length, breadth, and height are all equal.

The formula to compute the volume of cube is a³; where 'a' is the edge of the cube.

Given:

Larger box volume = s³

smaller box volume = 12 ft³

Now, the edge of larger box = 4

So, volume of larger box

= 4 x 4 x 4

= 64 ft³

Hence, the total volume is = 64 +12 = 76 ft³

Learn more about volume of cube here:

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-8/9 - (2 1/3)
show all your work

Answers

Answer:

1 8/9 - 1 2/3 = 2/

9

≅ 0.2222222

Step-by-step explanation:

How do you solve fractions step by step?

Conversion a mixed number 1 8/

9

to a improper fraction: 1 8/9 = 1 8/

9

= 1 · 9 + 8/

9

= 9 + 8/

9

= 17/

9

To find a new numerator:

a) Multiply the whole number 1 by the denominator 9. Whole number 1 equally 1 * 9/

9

= 9/

9

b) Add the answer from previous step 9 to the numerator 8. New numerator is 9 + 8 = 17

c) Write a previous answer (new numerator 17) over the denominator 9.

One and eight ninths is seventeen ninths

Conversion a mixed number 1 2/

3

to a improper fraction: 1 2/3 = 1 2/

3

= 1 · 3 + 2/

3

= 3 + 2/

3

= 5/

3

To find a new numerator:

a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/

3

= 3/

3

b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5

c) Write a previous answer (new numerator 5) over the denominator 3.

One and two thirds is five thirds

Subtract: 17/

9

- 5/

3

= 17/

9

- 5 · 3/

3 · 3

= 17/

9

- 15/

9

= 17 - 15/

9

= 2/

9

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(9, 3) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 3 = 27. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seventeen ninths minus five thirds = two ninths

At a picnic, 12 people shared 4 large sandwiche
equally. How much of a sandwich did each
person get to eat?

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

each person ate 1/3 of a sandwich

Step-by-step explanation:

How do you solve for TSU? i’ll make you brainleist

Answers

Step-by-step explanation:

as we know, 1 exterior angle is equal to 2 interior angle

therefore let angle u be x.

now,

65° + x = 105

x = 105 - 65 = 40°

therefore

TUS = 40°

and to know measure of angle TSU apply angle sum property of triangle in TUS

so,

65 + 40 + TSU = 180

105 + TSU = 180

TSU = 180 - 105 = 75°

therefore,

TSU = 75°

hope this answer helps you dear! take care

what is 18 kg in grams​

Answers

Answer:

18 000

Step-by-step explanation:

One kg is 1000 grams.  18 kg are 18 x 1000 = 18 0000 grams.

18,000 because I’m like that Goated #yb better

help with this question

Answers

Answer:

Step-by-step explanation:

In each figure, solve for X

Answers

Answer:

x=15

Step-by-step explanation:

7x+3x-4=146

10x-4=146

10x=150

X=15

The two sides added up equals the outside length.

Hope this helps if this does please mark as brainliest

X=15
Add your angels then

Complete the statement with always, sometimes, or never.
The terms of a polynomial are ________ monomials.

Answers

Answer:

always

Step-by-step explanation:

The terms of a polynomial are _always_ monomials.

A polynomial is a sum of monomials.

‘Always’ is the answer

Someone please help! Thank you in advance!

Answers

Answer:

58ft

Step-by-step explanation:

100-60=40

40+18=58

the answer is 58ft

(brainliest plz)

the nth The nth term of a sequence is n-4 what is the tenth term

Answers

Step-by-step explanation:

the nth term is n-4, so the 10th term (that means n = 10) is then 10-4 = 6

n-4 is the rule of the sequence.

Simply replace "n" with a number and solve your equation.

For example, if you are finding the 5th term, you do it like this:

= n - 4

= (5) - 4

= 1

Now, as you asked, the tenth term:

= n - 4

= (10) - 4

= 6

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

it's b

Step-by-step explanation:

because it is sum and difference of 3x and 5

Please help me with this homework

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (-3,-1) ~ \text{and slope, m=2.}\\\\\\\text{Equation with two points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +1 = 2(x +3)\\\\\text{Hence the answer is B}[/tex]

Please help me ASAP I don’t understand sigh

Answers

Answer:

x = -2, y = -6

Step-by-step explanation:

(8x - 3y) + (-8x - 5y) = 2 + 46

-8y = 48

y = -6

8x - 3y = 2

8x - 3(6) = 2

8x + 18 = 2

8x = -16

x = -2

Answer:

[tex]\boxed { \sf (-2, -6) }}[/tex]

Step-by-step explanation:

We are asked to find the solution of the system of equations.

[tex]8x-3y=2\\-8x-5y=46[/tex]

When we solve systems of equations, we have to do 2 steps. The first step eliminates one variable so we can solve for the other. The next step helps us find the variable we canceled.

The first equation has the term 8x and the second equation has the term -8x. If these are added, they cancel, so we are left with the variable y. Add the equations together.

[tex](8x-3y=2) \\+ (-8x-5y=46)[/tex]

8x and -8x cancel, then add.

[tex](-3y=2)\\+ (-5y=46)[/tex]

___________

[tex]-8y= 48[/tex]

We are solving for y, so we must isolate the variable. It is being multiplied by -8. The inverse operation of multiplication is division. Divide both sides by -8.

[tex]-8y/-8=48/-8 \\y= 48/-8 \\y=-6[/tex]

Now we know what y is equal to, so we can plug it back into one of the original equations and solve for x.

I chose the first equation.

[tex]8x-3y=2[/tex]

[tex]8x-3(-6)=2[/tex]

[tex]8x+18=2[/tex]

Subtract 18 from both sides to isolate 8x.

[tex]8x+18-18=2-18\\8x=2-18\\8x=-16[/tex]

Divide both sides by 8.

[tex]8x/8=-16/8 \\x=-16/8 \\x= -2[/tex]

Coordinate points are written as (x,y) so our solution is (-2, -6)

which is not a factor of 36​

Answers

Answer:

all numbers to 36 except 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Step-by-step explanation:

Which is the simplified form of r Superscript negative 7 Baseline + s Superscript negative 12?
StartFraction 1 Over r Superscript 7 Baseline s Superscript 12 EndFraction
Negative r Superscript 7 Baseline minus s Superscript 12
StartFraction r Superscript 7 Over s Superscript 12 EndFraction
StartFraction 1 Over r Superscript 7 Baseline EndFraction + StartFraction 1 Over s Superscript 12 EndFraction

Answers

I can’t even read that but the answer is 3 I think

Answer:

im pretty sure its D

Step-by-step explanation:

n is an integer greater than 1
Prove algebraically that 10+ n^2 - (n - 2)^2 is always an even number.
Your final line must have, 'always even' as part of the line.

Answers

Answer:

Proof below.

Step-by-step explanation:

Let f(n)=10+ n^2 - (n - 2)^2.

We want to prove f is even for integer n > or = 1.

Let's show f is even for the base case, n=1.

f(1)=10+1^2-(1-2)^2

f(1)=10+1-(-1)^2

f(1)=11-(1)

f(1)=10

f(1) is even.

Let's assume the for some integer k > or = 1 , we have f(k) is even. This means there is some integer m so that f(k)=2m.

Note: f(k)=10+ k^2 - (k - 2)^2.

We want to show f(k+1) is even.

f(k+1)=10+ (k+1)^2 - ([k+1] - 2)^2

f(k+1)=10+ (k+1)^2 - (k-1)^2

f(k+1)=10+ ((k+1)^2 - (k-1)^2)

That difference is a difference of squares. Let's try factoring it.

f(k+1)=10+ (k+1-[k-1])(k+1+[k-1])

f(k+1)=10+ (2)(2k)

Multiply:

f(k+1)=10+4k

Turns out we didn't even need to use our induction hypothesis since 10+4k is 2(5+2k) which makes f(k+1) even given the factor of 2 present.

This proves for all integers n>=1 that f(n) is even.

We could have this without induction then. Let's do that here below this line.

-------------------

10+ n^2 - (n - 2)^2

10+[n^2 - (n - 2)^2]

Factor difference of squares:

10+(n-(n-2))(n+(n-2))

Simplify:

10+(2)(2n-2)

Factor:

2[5+(2n-2)]

Because of the factor of 2, the given expression is always even for integer n.

3. Sally invested $5,000.00 in a savings account earning 3.49% simple interest. At the same time
Jon invested $3,000.00 in a money market account at a simple interest rate of 7.5%. How many
years will it take for the two to have the same amount of money in their accounts? How much
money do they have after that time period?

Answers

Answer:

ic hch7y8gygdr6dr6d7twwt7tfx7yuc yc i

which quadrilaterals always have diagonals that bisect opposite angles

Answers

The answer to you question is it’s a rhombus. I hope this has helped you.

Anyone for a brainly help me out

Answers

Answer:

y<x+1

Step-by-step explanation:

Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y<x+1

The circumference of a circle is increasing at a rate of pi over 2 m/h at a certain instant the circumference is 12 pi meters what is the rate of change of the area of the circle at that instant in square meters per hour

Answers

Answer: 3pi

Step-by-step explanation:

Guessed and it was right, sorry don’t have an explanation.

The rate of change of the area of the circle at that instant in square meters per hour will be 3π.

What is the rate of change?

The pace at which one quantity changes in relation to another is known as the rate of change function.

Given that the circumference of a circle is increasing at a rate of π / 2 m/h at a certain instant the circumference is 12 π meters.

The rate of change of circumference will be calculated as,

dc/dt = π/2

d (2πr)/ dt = π / 2

dr / dt = 1 / 4

The rate of change in the area,

A = πr²

dA / dt = ( 2πr )  dr / dt

dA/dt = 12π x ( 1 / 4)

dA/dt = 3π

Therefore, the rate of change of the area of the circle at that instant in square meters per hour will be 3π.

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Which of the following can be the sides of a right angled triangle?
(i) 1.5 cm, 2 cm, 3 cm (ii) 6 cm, 1.1 cm, 6.1 cm

Answers

Answer:

(ii) 6 cm, 1.1 cm, 6.1 cm

Step-by-step explanation:

Knowing that all right triangles obey the Pythagorean Theorem, we can test both sets of numbers. The longest of the 3, the hypotenuse, is substituted to the c value of the equation a^2 + b^2 = c^2. If the equation is still true after substituting and simplifying both sides, that combination of triangle lengths is the correct answer. In this case, 6^2 + 1.1^2 and 6.1^2 are both equal to 37.21, so the second set is correct.

What is the fractional equivalent of the repeating decimal 04?
O A.
B.
4
100
C
D.
4
99
NEED HELP ASAP‼️‼️

Answers

Let's see

[tex]\\ \rm\rightarrowtail x=0.444\dots[/tex]

[tex]\\ \rm\rightarrowtail 10x=4.44\dots[/tex]

From both

9x=4x=4/9

Helpppp what is Log70

Answers

If you mean log10(70) it would be 1.8451

Answer:

Log 70

What is Log 70? - The value of Log 70 is 1.84509804001. The log base 10 of 70 is the base 10 logarithm of 70 which can be written as log10(70) or lg(70).

What is log10(70)  - The logarithm base 10 of a number is its logarithm to the base of 10 where lg(70) = 1.84509804001.

Step-by-step explanation:

log10  70

Result 1.84509804001425

                                                                                                                                       

check the attached file pls it might be needed for you !!  

Mark brilliant

Quadrilateral HUJK has coordinates H(2, 3), 1(2, 6), J(-1, -8), and K(-2, 4). If the quadrilateral is
translated and H' (the image point of H) is located at (6, 2), find the coordinates of J' (the
image point of J).

Answers

Answer:

Ima troll

Step-by-step explanation:

I have to do the evens- I was out due to epilepsy and have no clue what I'm doing
Worth 50 points

Answers

Step-by-step explanation:

I'm assuming your solving for [tex]x[/tex]

Picture 2.

For this one since the two sides are equal

[tex]2x-12=12\\2x=24\\x=12[/tex]

Picture 4.

We can use the Pythagorean theorem for this one, which is [tex]a^2+b^2=\sqrt{c}[/tex]

[tex]4\cdot4=16\\3\cdot3=9\\16+9=25\\\sqrt{25}=5[/tex]

[tex]x=5[/tex]

Picture 6.

We can use the Pythagorean theorem for this one, which is [tex]a^2+b^2=\sqrt{c}[/tex]

[tex]6\cdot6=36\\9\cdot9=81\\36+81=117\\[/tex]

[tex]\sqrt{117}=approximately[/tex] [tex]10.81[/tex]

Picture 8.

[tex]EG=6[/tex]

Since half of [tex]EG[/tex] is [tex]3[/tex]

[tex]3\cdot2=6[/tex]

[tex]EG=6[/tex]

Brainliest, please :)

Tom finished 2/4 , of his math homework on the school bus. What percent did he finish on the
bus?

Answers

Answer:

50

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

2/4 = 1/2

1/2 = 0.5

0.5 = 50%

(Could explain slightly more but this should get the point across!)

27. A prime factor of 2310 is chosen at random. What is the
probability that the chosen factor will be greater than 7?

Answers

Step-by-step explanation:

The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11. Since it has a total of 5 prime factors, 2,310 is a composite number.

The probability of chosen factor will be greater than 7 will be ( 1 / 5 ).

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that a prime factor of 2310 is chosen at random. The probability will be calculated as:-

The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11.

Favourable outcome = 11 = 1

Total outcomes = ( 2,3,5,7,11) = 5

Probability = ( 1 / 5 )

Therefore, the probability of chosen factor will be greater than 7 will be ( 1 / 5 ).

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NEED HELP NOW! SOLVE THE INEQUALITY: -r/3 ≤ 6


The r/3 is not division.. its a fraction. thx

Also.. once one person has answered... please don't answer more... i don't want ore than 10 points taken away. thank you so much

Answers

Answer:

[tex]r\geq -18[/tex]

Step-by-step explanation:

[tex]\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}[/tex]

Hope this helps!

Which capital letters have one or more lines of symmetry?
A) X
B) Z
C) H
D) C

Answers

Answer:

h has 4 lines x has 2 z has 3 c has none

Step-by-step explanation:

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