Which algebraic expressions are binomials? Check all that apply.

xyStartRoot 8 EndRoot

x2y – 3x

6y2 – y

y2 + StartRoot y EndRoot

4xy – two-fifths

x2 + StartFraction 3 Over x EndFraction

Answers

Answer 1

The algebraic expressions out of the given options that are binomials is given by: Option B: x^2y - 3x and Option D: 4xy - 2/5

What are polynomials?

Polynomials are algebraic expressions having only addition, subtraction, multiplication and exponentiation (non-negative) of variables involved in it.

What are terms in polynomials?

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

Example:

[tex]x^3 + 3x +5[/tex]

is a polynomial consisting 3 terms as

[tex]x^3[/tex], 3x and 5

If there is one term, the polynomial will be called monomial.If there are two terms, the polynomial will be called binomialIf there are three terms, the polynomial will be called trinomial

Checking all the options:

Option 1: [tex]xy\sqrt{8}[/tex]

It has only one term, so its not a binomial.

Option 2: [tex]x^2y - 3x[/tex]

It has two terms, and there is only integer powers of variables and variables are in multiplication in forming terms, so its a polynomial.  And because of two terms and being polynomial, it is binomial.

Option 3: [tex]y^2 + \sqrt{y}[/tex]

Because of square root over variable 'y', the variable 'y' got non-integer power 1/2 as square root is also written as exponentiation by 1/2.

Thus, its not a polynomial.

Option 4: [tex]4xy - 2/5\\[/tex]

Its a polynomial as there are constants only and variables with multiplication. And because of two terms and being polynomial, it is binomial.

Option 5: [tex]x^2 + \dfrac{3}{x}[/tex]

we can write the second term as:

[tex]\dfrac{3}{x} = 3x^{-1}[/tex]

Thus, the variable x has negative power. Thus, its not a polynomial. Or simply, since the variable is in division in simplified form, therefore, its not a polynomial.

Thus, the algebraic expressions out of the given options that are binomials is given by: Option B: x^2y - 3x and Option D: 4xy - 2/5

Learn more about binomials here:

https://brainly.com/question/10451213


Related Questions

Find the area of the rectangle or square 19 3 km and 38.4 km.

Answers

Answer:

Area of rectangle is 741.12km^2

Area of square is 1474.56km^2

Step-by-step explanation:

Formula for Area of a rectangle= length x breadth

Area = l x b = 19.3 km x 38.4 km (substitute the numbers)

Area = 741 km^2

OR

Area of square = length x length

Area = l x l = 38.4 x 38.4

Area = 1474.56 km^2

During which time period was the ANNUAL rate of increase of the speed the GREATEST

Answers

Answer:

1-2

Step-by-step explanation: because it went up in speed by 8 and the rest went up not even to 7

Based on the table, we can deduce that the annual rate of increase of the speed was the greatest: A. from year 1 to year 2.

What is speed?

Speed can be defined as the distance covered by an object per unit of time. Thus, speed can be measured as meter per seconds.

Mathematically, speed is given by this formula;

[tex]Speed = \frac{distance}{time}[/tex]

Based on the table, we can deduce that the annual rate of increase of the speed was the greatest from year 1 to year 2.

Rate = 46 - 38 = 8.

Read more on speed here: brainly.com/question/10545161

The diagram shows a parallelogram.
The dotted line forms a right angle with side xy.
Use given information to find m Angle p.

Answers

Check the picture below.

Find the value of x? thank you

Answers

Answer:

68

Step-by-step explanation:

A 5 sided shape total angles are equal to 540°

150 + 102 + 84 + x + 2x = 540

3x = 540 - 336

3x = 204

x = 68

Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answers:

1) [tex]\sf \boxed{1} \ x^2 + \boxed{2} \ x -24[/tex]

2) [tex]\sf \boxed{2} \ x^2+ \boxed{-1} \ x-15[/tex]

3) [tex]\sf \boxed{6} \ x^2+\boxed{19} \ x+10[/tex]

4) [tex]\sf \boxed{2} \ x^2+\boxed{-11} \ x+5[/tex]

solving step wise:

1)

(x+6)(x-4)x² + 6(x) -4(x) -24x² + 2(x) - 24

2)

(2(x)+5)(x-3)2(x)² - 6(x)+5(x)-152(x)² - x - 15

3)

(3(x)+2)(2(x)+5)6(x)²+15(x)+4(x)+106(x)² + 19(x)+10

4)

(2(x)-1)(x-5)2(x)² -10(x)-x+52(x)² -11(x)+5

#1

(x+6)(x-4)x(x-4)+6(x-4)x^2-4x+6x-24x^2+2x-24

#2

(2x+5)(x-3)2x(x-3)+5(x-3)2x^2-6x+5x-152x^2-x-15

#3

(3x+2)(2x+5)3x(2x+5)+2(2x+5)6x^2+15x+4x+106x^2+19x+10

#4

(2x-1)(x-5)2x(x-5)-1(x-5)2x^2-10x-x+52x^2-11x+5

Brianna started watching a movie at 2:45 p.m. If the movie is 2 hours and 32 minutes long, when will it be over?

Answers

Answer:

It will be over at 5:17 pm

Step-by-step explanation:

2:45 +32 would be 3:17, we add 2 hours it would be 5:17

Answer:

5:17 pm

Step-by-step explanation:

Since Brianna started watching a movie at 2:45 p.m and the movie is 2 hours and 32 minutes long

Thus,

2:45 + 2 and 32 Minutes

2 + 2 = 4

45 + 32 = 77 minutes

1 Hour = 60 Minutes

Thus, 77 - 60 =17

Hence, 4 + 1 = 5

Thus, the movie will be over at 5:17 Pm

~Lenvy~

On a football field, the left and right tackles are lined up on the same yard line. A linebacker is 15 yards away from that yard line. The angles of the lines of sight of the tackles to the linebacker that are made with the yard line are shown in the diagram. Approximately how far apart are the left and right tackles?

Answers

Answer:

D. 39.3 yd

Step-by-step explanation:

Left tackle:

tan 35° = 15/x

x = 15/tan 35°

x = 21.42

Right tackle:

tan 40° = 15/x

x = 15/tan 40°

x = 17.88

x + y = 39.3

Answer: D. 39.3 yd

please help me with this, I will give brainliest.

find the value of x round to the nearest 10th

Answers

[tex]\tan x = \dfrac{\text{Opposite}}{\text{Adjacent}}\\\\\implies \tan x = \dfrac{12}{6}\\\\\implies \tan x = 2\\\\\implies x = \tan^{-1} (2)=63.4^\circ[/tex]

Answer:

x ≈ 63.4°

Step-by-step explanation:

using the tangent ratio in the right triangle.

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{12}{6}[/tex] = 2 , then

x = [tex]tan^{-1}[/tex] ( 2) ≈ 63.4° ( to the nearest tenth )

can anyone help on this??

Answers

Answer:

For number 7 it was c which is the pink man

Step-by-step explanation:

Answer:

Runner A won the race, Runner C took a break for 4 seconds, it took Bob 10.5 seconds because his green line hits the top at the same line as 10.5 seconds

How many factors of 1000 can be divided by 20 without a remainder?

Answers

Answer: 6

Step-by-step explanation:

HELP ME PLS. brainy reward it is about hangers.
The Problem: 20/3x = 5(x+1/2) + 4/3

20/3 , 1/2 , 4/3 are fractions. Solve for x

Answers

Answer:

x=23/10

Step-by-step explanation:

the dash is a fraction

I will give you more points if you give me the correct answer

Answers

Step-by-step explanation:

2000 <= (178 + S) + S

remember, they needed to collect at least 2000 cans.

S = the number of cans Shane collected.

the number of cans Abha collected is 178 more than S (the number of cans Shane collected).

and from there we get

2000 <= 178 + 2S

1822 <= 2S

911 <= S

so, the solution set is

S >= 911

and

Abha >= 1089

true or false and explain or show your reasoning
10-⁵=-10⁵

(10²)-³=(10²)³

10³/10¹⁴=10-¹¹

Answers

Answer:

a. False : because 10^-5= 1/10^5 where as -10^5=-1 × 10^5

therefore 1/10^5 not equal to -1×10^5

b. False : because (10^2)^-3 = 100^-3=1/100^3 where as (10^2)^3 = 100^3=1000000 there fore 1/100^3 not equal to 1000000

c. True : because 10^3/10^14=10^(3-14)=10^-11 therefore both left side and right side of the equation are equal

PLEASE HURRY

Solve the inequality and express your answer in interval notation.
x2 + 8x-7<0

Answers

It’s A or C
I’m not sure if you’re supposed to use brackets or parentheses

The point (6, - 5) is reflected across the y axis what is the new point

Answers

Answer:

  (-6, -5)

Step-by-step explanation:

Reflection across the y-axis leaves the point on the same horizontal line, but with the sign of its x-coordinate changed.

  (x, y) ⇒ (-x, y) . . . . . reflection across the y-axis

  (6, -5) ⇒ (-6, -5)

The image point is (-6, -5).

So far, 907907907 of the 122312231223 voters have agreed to the new amendment.
Based on this data, what is a reasonable estimate of the probability that the next voter does not agree to the new amendment?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
\dfrac{316}{907}
907
316

start fraction, 316, divided by, 907, end fraction

(Choice B)
B
\dfrac{907}{1223}
1223
907

start fraction, 907, divided by, 1223, end fraction

(Choice C)
C
\dfrac{1223}{2130}
2130
1223

start fraction, 1223, divided by, 2130, end fraction

(Choice D)
D
\dfrac{316}{1223}
1223
316

Answers

Answer:

I do not know the answer but I need to answer a question to finish logging into brainly

Answer: 316/1223

Step-by-step explanation: I checked on khan

Type the correct answer in the box. round your answer to the nearest tenth. events m and n are independent events. in this scenario, if p(m) = 0.46 and p(m and n) = 0.138, then p(n) = .

Answers

The probability helps us to know the chances of an event occurring. The probability of event n occurring is 0.3.

What is Probability?

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

We know that for two independent events the probability of the two events occurring simultaneously is written as,

[tex]P(A \cap B) = P(A)\cdot P(B)[/tex]

Now, as we know the probability of event m occurring also we know the probability of both events occurring simultaneously, therefore, the probability of event n occurring can be written as,

[tex]P(A \cap B) = P(A)\cdot P(B)\\\\P(m \cap n) = P(m)\cdot P(n)\\\\0.138 = 0.46 \times P(n)\\\\P(n) = 0.3[/tex]

Hence, the probability of event n occurring is 0.3.

Learn more about Probability:

https://brainly.com/question/795909

An ice cream store sells two different sizes of ice cream cones. The first cone is 4 inches tall and has a 1-inch radius. The second cone is 6 inches tall and has a 1.5-inch radius. What is the ratio of the volume of the smaller cone to the volume of the larger cone?

A.
4 : 9

B.
8 : 27

C.
9 : 4

D.
27 : 8

Answers

Answer: C)

Formula: 1/3(3.14)•r^2•h

Explanation: 1/3•1^2•4•3.14

Write an equation of the line passing through the points ( -5, -25 ),(0,0), and( 3,15)?




Please help me with this question

Answers

Answer:

Y=5X because the slope is 5 and the Y-intercept is 0

Solve this system of equations.
3x + 4y = 36
y = -1/2x + 8
What is x?​

Answers

Answer: Between 1 and 3.

Step-by-step explanation:

You have to Think about y too, y can be anything, but let's say y is 1. Then x should be 3

x = 4, y = 6

In this case, you can solve the equation by substitution.

3x + 4y = 36

We are given that y = -1/2x + 8

Plug in that value assigned to y.

3x + 4(-1/2x + 8) = 36

3x -2x + 32 = 36

x + 32 = 36

x = 4

Now, we can return back to y

y = -1/2x + 8

y = -1/2(4) + 8

y = -2 + 8

y = 6

A cone has a volume 8pie cubic inches. And 6in height

What is the radius of the cone?
inches

Answers

Answer:

r=1.3in

Step-by-step

hope this helps:)

|1/2- x/3|=5/6. Solve for x. There is (most likely) 2 answers

Answers

Answer:

Ans is -1

Step-by-step explanation:

Hope the picture will help you..

Mathh question helppp

Answers

Answer:

60% test score

Step-by-step explanation:

When x is 6, y is 60

The area of the triangle below is 17.39 square inches. What is the length of the base?

Height 3.7

Answers

A= bh/2
17.39=3.7b/2
3.7b=34.78
B=9.4 inches the base of the triangle is about 9.4 inches.

Please Help! Will Give Brainlest!

Answers

Answer:

[tex] \frac{ - \sqrt{3} }{2} [/tex]

Step-by-step explanation:

First, we find the coterminal angle of

[tex] \frac{ - 8\pi}{3} [/tex]

to do that, first, convert this into degrees.

[tex] \frac{ - 8\pi}{3} \times \frac{180}{\pi} = - 480[/tex]

Know, continously add 360 until we get our first positve number,

[tex] - 480 + 360 = - 120[/tex]

[tex] - 120 + 360 = 240[/tex]

So our coterminal angle is 240.

We need to know sin (240), the y value of sin (240) will gives us our answer.

That answer is

[tex] \frac{ - \sqrt{3} }{2} [/tex]

A spinner has 4 equal sections. after spinning the spinner 15 times, the results are recorded in a table. which of the given statements is true? a. the theoretical probability of landing on violet is 1/3. b. the experimental probability of landing on red is 1/5. c. the experimental probability of landing on yellow is 1. d. the theoretical probability of landing on orange is 1/5.

Answers

Answer:

d

Step-by-step explanation:

Answer: The answer is B.) The experimental probability of landing on red is 1/5.

Step-by-step explanation:

Have a great day

Δ MAL and Δ DLA are right triangles. If Δ MAL ≅ ΔDLA, then side DL is congruent to side MA, and ∠ MAL is congruent to ∠ DLA. Given ∠ M is 30 °, side DL is (2x + 10) cm, side MA is (3x – 2) cm, and side AL is (x + 5) cm, answer the following questions below:

What is the measurement of DL?

What is the measurement of AL?

What is the measurement of ∠ DLA?

What is the measurement of ∠ AEL?

Answers

Answer:

DL = 34 cm

AL = 17 cm

∠DLA = 60°

∠ADL = 30°

Step-by-step explanation:

Given:

DL = (2x + 10) cmMA = (3x - 2) cm

   DL ≅ MA

⇒ 2x + 10 = 3x - 2

⇒ 2x + 12 = 3x

⇒ 12 = x

Substituting found value of x into expressions for DL and AL:

DL = 2x + 10

     = 2(12) + 10

     = 34 cm

AL = x + 5

    = 12 + 5

    = 17 cm

The only way for ΔMAL to be a right triangle, with MA = 34 cm, AL = 17 cm and ∠M = 30° is if

MA is the hypotenuseAL is the shortest side

Given:

∠M = ∠D = 30°∠MAL ≅ ∠DLA

Sum of interior angles of a triangle is 180°

⇒ ∠DLA + 30° + 90° = 180°

⇒ ∠DLA + 120° = 180°

⇒ ∠DLA = 60°

As ∠M = ∠D = 30°, then ∠ADL = 30°

Answer:

DL = 34 cmAL = 17 cm∠DLA = 60°∠ADL = 30°

Step-by-step explanation:

Given:

DL = (2x + 10) cmMA = (3x - 2) cmDL ≅ MA

Equating DL and MA :

⇒ 2x + 10 = 3x - 2

⇒ 2x + 12 = 3x

x = 12

Finding DL and AL :

DL = 2(12) + 10 = 24 + 10 = 34 cmAL = 12 + 5 = 17 cm

Finding ∠DLA :

∠M = ∠D = 30° (corresponding parts of congruent triangles)∠DLA + ∠D + 90° = 180°∠DLA + 30° = 90°∠DLA = 60°

Finding ∠ADL :

∠ADL = ∠D∠ADL = 30°

can someone help me with this question

Answers

A because you add the inside then multiple

I need help with this please extra points for the help.

Answers

Answer:

1/3

explanation:

there are total 6 colour boxes.among which 2 are red

so probability:

2/61/3

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Number of Favorable outcomes (red)= 2

Total outcomes = 6

So, the probability of getting red is :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2}{6} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{3} [/tex]

[tex]・ .━━━━━━━†━━━━━━━━━.・[/tex]

F(x)=f(x-1)+2x+1 if f(2) =17 what’s f(1)

Answers

Answer:

f(1) = 12

Step-by-step explanation:

We know that f(x)=f(x-1)+2x+1

We are told that f(2) = 17

Use the first equation to calculate f(1).  Since f(2) is known and f(x-1) will become f(1) after f(2-1) is simplified to f(1).

17 = f(2-1)+2*2+1

f(2-1) = 17 - 5

f(1) = 12

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