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3 years ago

Which of the following phrases would represent this expression?

Mathematics

2 answers:

Olegator [25]3 years ago

7 0

Answer:

The quotient of x and 3 is the answer i hope it works

aivan3 [116]3 years ago

3 0

I think its (the quotient of 3 and x)
sorry if i got it wrong

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If candidate receive majority of 1st place votes they should be the winner: Borda Count can violate

irinina [24]

Answer:

B should have been the winner. Since B received the majority of the votes, he should be the winner, not A, and it doesnt matter how close was the election or how cmany votes A got in reality. If B had more votes for 1st place, then it should be the winner, not A. I am assuming that there were electoral fraud and someone intentionally didnt count valid votes from B.

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3 years ago

IM BEING TIMED!!! Consider the table showing the given, predicted, and residual values for a data set. Which point would be on t

iVinArrow [24]

Answer:

Residual = Observed Value - Predicted Value

A residual plot is a graph that shows the residual values in the vertical axis and the independent variable or values of x in the horizontal axis. So the coordinates would be (x, corresponding residual of x)

The points in a residual plot of the data based on the table will be:

(1,-0.4)

(2,0,7)

(3,-0.2)

(4,-0.6)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

2s plus 5 _> 49 please solve

Phoenix [80]

Fist subtract 5 from both sides
Equation is now 2s is greater than or equal to 44
Now divide by 2
Equation is now s is less than or equal to 22
Be sure to flip equality sign when dividing

8 0

3 years ago

A card is drawn at random from a standard pack of playing cards. Then a fair coin is flipped. What is the probability of selecti

serg [7]

Answer:

The order doesn’t matter, as the two events are probabilistically independent of one another. There are 13 spades in a standard 52 card deck, so the probability of drawing the number 5 is 13/52 or 1/4. The probability of heads is 1/2. The probability of both occurring is the product of the two probabilities, or 1/4*1/2 = 1/8 or 12.5%.

7 0

3 years ago

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For integers a, b, and c, consider the linear Diophantine equation ax C by D c: Suppose integers x0 and y0 satisfy the equation;

Dmitrij [34]

Answer:

$x = x_1+r(\frac{b}{gcd(a, b)} )\\y=y_1-r(\frac{a}{gcd(a, b)} )$

b. x = -8 and y = 4

Step-by-step explanation:

This question is incomplete. I will type the complete question below before giving my solution.

For integers a, b, c, consider the linear Diophantine equation

$ax+by=c$

Suppose integers x0 and yo satisfy the equation; that is,

$ax_0+by_0 = c$

what other values

$x = x_0+h$ and $y=y_0+k$

also satisfy ax + by = c? Formulate a conjecture that answers this question.

Devise some numerical examples to ground your exploration. For example, 6(-3) + 15*2 = 12.

Can you find other integers x and y such that 6x + 15y = 12?

How many other pairs of integers x and y can you find ?

Can you find infinitely many other solutions?

From the Extended Euclidean Algorithm, given any integers a and b, integers s and t can be found such that

$as+bt=gcd(a,b)$

the numbers s and t are not unique, but you only need one pair. Once s and t are found, since we are assuming that gcd(a,b) divides c, there exists an integer k such that gcd(a,b)k = c.

Multiplying as + bt = gcd(a,b) through by k you get

$a(sk) + b(tk) = gcd(a,b)k = c$

So this gives one solution, with x = sk and y = tk.

Now assuming that ax1 + by1 = c is a solution, and ax + by = c is some other solution. Taking the difference between the two, we get

$a(x_1-x) + b(y_1-y)=0$

Therefore,

$a(x_1-x) = b(y-y_1)$

This means that a divides b(y−y1), and therefore a/gcd(a,b) divides y−y1. Hence,

$y = y_1+r(\frac{a}{gcd(a, b)})$ for some integer r. Substituting into the equation

$a(x_1-x)=rb(\frac{a}{gcd(a, b)} )\\gcd(a, b)*a(x_1-x)=rba$

$x = x_1-r(\frac{b}{gcd(a, b)} )$

Thus if ax1 + by1 = c is any solution, then all solutions are of the form

$x = x_1+r(\frac{b}{gcd(a, b)} )\\y=y_1-r(\frac{a}{gcd(a, b)} )$

In order to find all integer solutions to 6x + 15y = 12

we first use the Euclidean algorithm to find gcd(15,6); the parenthetical equation is how we will use this equality after we complete the computation.

$15 = 6*2+3\\6=3*2+0$