What is a term without a variable

Answers

Answer 1

Answer: A term without a variable is called a constant term, and the degree of that term is 0Hope that helps you I knew this was 0 beciase i study this a long time ago

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12x=7y-10yis this a linear equation?what is it in standard form?

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12x=3y tell me if this is wrong

Jika x1 dan x2 merupakan akar akar persamaan x2+5x-2=0, maka (x1+2x2)(x2+2x1)=

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-8 ........................

Bob,Joe,Pete,Tom,and Tim share s sandwiches. How many sandwiches dose each boy get ?

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Answer:

Number of sandwiches per boy = s / 5

Step-by-step explanation:

To determine how many sandwiches each boy gets when they share s sandwiches among Bob, Joe, Pete, Tom, and Tim, you can divide the total number of sandwiches (s) by the number of boys (5):

Number of sandwiches per boy = Total number of sandwiches / Number of boys

Number of sandwiches per boy = s / 5

Each boy gets s/5 sandwiches. The result is a fraction, as it depends on the total number of sandwiches (s) divided equally among the 5 boys.

Answer:

Step-by-step explanation:

In a version of the game of roulette, a steel ball is rolled onto a wheel that contains 19 red, 19 black and 2 green slots. If the ball is rolled 25 times, the probability that it falls into the green slots two or more times:___________.

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Answer:

The probability is 0.3576

Step-by-step explanation:

The probability for the ball to fall into the green ball in one roll is 2/1919+2 = 2/40 = 1/20. The probability for the ball to roll into other color is, therefore, 19/20.

For 25 rolls, the probability for the ball to never fall into the green color is obteined by powering 19/20 25 times, hence it is 19/20^25 = 0.2773

To obtain the probability of the ball to fall once into the green color, we need to multiply 1/20 by 19/20 powered 24 times, and then multiply by 25 (this corresponds on the total possible positions for the green roll). The result is 1/20* (19/20)^24 *25 = 0.3649

The exercise is asking us the probability for the ball to fall into the green color at least twice. We can calculate it by substracting from 1 the probability of the complementary event: the event in which the ball falls only once or 0 times. That probability is obtained from summing the disjoint events: the probability for the ball falling once and the probability of the ball never falling. We alredy computed those probabilities.

As a result. The probability that the ball falls into the green slot at least twice is 1- 0.2773-0.3629 = 0.3576

How do you factor 80y^2-4y-4? or is it prime?

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$80y^2-4y-4\n\na=80;\ b=-4;\ c=-4\n\n\Delta=b^2-4ac\n\n\Delta=(-4)^2-4\cdot80\cdot(-4)=16+1280=1296 > 0\n\ny_1=(-b-\sqrt\Delta)/(2a);\ y_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(1296)=36\n\ny_1=(4-36)/(2\cdot80)=(-32)/(160)=-(1)/(5);\ y_2=(4+36)/(2\cdot80)=(40)/(160)=(1)/(4)$

$80y^2-4y-4=80(y+(1)/(5))(y-(1)/(4))\n\n\n80(y+(1)/(5))(y-(1)/(4))=4\cdot5\cdot4\cdot(y+(1)/(5))(y-(1)/(4))=4(5y+1)(4y-1)$

$80y^2-4y-4=80y^2-4y-16y+16y-4=80y^2-20y+16y-4\n\n=20y(4y-1)+4(4y-1)=(4y-1)(20y+4)$

$80y^2-4y-4=4(20y^2-5y+4y-1)=4[5y(4y-1)-(4y-1)]=\n \n=4(4y-1)(5y-1)$

According to the Rational Root Theorem, which could be a factor of the polynomial f(x) = 60x4 + 86x3 – 46x2 – 43x + 8?x – 6
5x – 8
6x – 1
8x + 5

Answers

the answer is (6x-1)

Answer: The answer is (B) $(8)/(5)$ and (C) $(1)/(6)$ .

Step-by-step explanation: The given polynomial is

$f(x)=60x^4+86x^3-46x^2-43x+8.$

We are to select the correct option that could be a factor of the polynomial f(x) according to the Rational Root Theorem.

The Rational Root Theorem states that:

If the polynomial $P(x)= a_nx^n+a_(n-1)x^(n-1)+\cdots+a_2x^2+a_1x+a_0$ has any rational roots, then they must be of the form $\pm\frac{\textup{factors of }a_0}{\textup{factors of }a_n}.$

Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and factors of 8 are 1, 2, 4 and 8.

Out of the given options, only $(8)/(5)$ and $(1)/(6)$ can be written in the form $\pm\frac{\textup{factors of }a_0}{\textup{factors of }a_n}.$ , because

$(8)/(5)=\frac{\textup{a factor of 8}}{\textup{a factor of 60}},\n\n(1)/(6)=\frac{\textup{a factor of 8}}{\textup{a factor of 60}}.$

Thus, (B) and (C) are the correct options.

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