-3x+10y=-20 <br> -8x+2y=11 elimination method

Which graph represents a function with direct variation? A coordinate plane with a line passing through (negative 4, 0) and (0,

lesya692 [45]

Answer:

A line passing through the points (-1,-4),(0,0) and (1,4)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<u><em>Verify each case</em></u>

Part 1) A line passing through the points (-4,0) and (0,-2)

This line not represent a direct variation, because the line not passes through the origin.

Part 2) A line passing through the points (-5,4) and (0,3)

This line not represent a direct variation, because the line not passes through the origin.

Part 3) A line passing through the points (-4,-6) and (0,3)

This line not represent a direct variation, because the line not passes through the origin.

Part 4) A line passing through the points (-1,-4),(0,0) and (1,4)

The line passes through the origin

Find out the value of k

$k=y/x$

For the point (-1,-4)

substitute

$k=-4/-1$

$k=4$

For the point (1,4)

substitute

$k=4/1$

$k=4$

The linear equation is

$y=4x$

This line represent a direct variation

6 0

2 years ago

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There are 3 feet in 1 yard. This is equivalent to 12 feet in 4 yards. Which proportion can be used to represent this?

Troyanec [42]

Proportion which can be used to represent equivalency of 3 feet in 1 yard and 12 feet in 4 yard is 3 : 1 : : 12 : 4

<h3><u>Solution:</u></h3>

Given that

There are 3 feet in one yard

And there are 12 feet in 4 yard

Number of feet in one yard = 3 that is feet : yard = 3 : 1

Number of feet in 4 yards = 12 that is feet : yard = 12 : 4

And 3 feet in 1 yard is equivalent to 12 feet in 4 yards means

$\frac{3}{1}=\frac{12}{4}$

That is 3 : 1 : : 12 : 4

A proportion is statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a : b = c : d

Hence proportion which can be used to represent equivalency of 3 feet in 1 yard and 12 feet in 4 yard is 3 : 1 :: 12 : 4

8 0

1 year ago

The peso is the currency of Mexico. On October 17, 2016, the exchange rate for 1 Mexican peso was $0.053 U.S. If a traveler exch

Allushta [10]

1 peso = 0.053 dollars.

x pesos = 400 US dollars.

1/x = 0.053 / 400 Cross multiply

400 * 1 = 0.053 x Divide by 0.053

400/0.053 = 0.053*x / 0.053

7547.17 pesos which rounded is

Answer: 7547 pesos

4 0

2 years ago

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Logistic regression is used when you want to: Answer choices A. Predict a dichotomous variable from continuous or dichotomous va

masya89 [10]

Answer:

A. Predict a dichotomous variable from continuous or dichotomous variables.

Step-by-step explanation:

Logistic regression is used when you want to predict a dichotomous variable from continuous or dichotomous variables.

Mathematically, it is given by the expression;

Logistic regression $y$ with $x_{1}$ , $x_{2}$ ........ $x_{n}$

Where;

y represents the dichotomous dependent variable.

$x_{1}$ , $x_{2}$ ........ $x_{n}$ represents the predictable variables, which are categorical in nature such as alive or dead, win or lose, sick or healthy, pass or fail, etc.

6 0

1 year ago

the accountant charged $35 for the first hour of work and $23 for each hour he did after that he earned a totL or $127 how many

harkovskaia [24]

He worked 5 hours in total: 35$ for the first hour, + 23 + 23 + 23 + 23 = 127$ for five hours of work.

4 0

2 years ago

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-3x+10y=-20 -8x+2y=11 elimination method