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3 years ago

Compare positive and negative slope for linear relationships. How are they the same? How are they different?

Mathematics

1 answer:

Gekata [30.6K]3 years ago

5 0

Answer:

Please check explanations

Step-by-step explanation:

Slopes are generally the ratio of rise(vertical difference) to fall (horizontal difference) for set of points lying on a straight line

Positive slopes show a positive relationship between the two things we are considering while a negative one shows otherwise

They are the same in the sense that they actually represent a constant change between the coordinates of the points in the relationship we are considering.

They are different in the sense that while one represents a positive change, whereby both axes move in the same direction ( rise at same rate, fall at same rate) , the second represent a relationship in which they move in opposite directions. While one falls, the other rises and while the other rises, the second one falls which indicates an opposing movement type between the two

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In the past, joe got paid $229,390 annually. Since switching to a new career he has been making 10% less. How much does Joe make

Serhud [2]

Answer:

The answer is $206,451

Step-by-step explanation

This scenario is asking to subtract 19 percent away from 229,390 .

Step one : Divide 229,390 by 10 ( take away the zero behind the 9 )

Step 2 : Subtract 22,939 from 229,390 since we know ten percent of 229,390 is 22,939 = 206451

6 0

3 years ago

Read 2 more answers

Graph the line with a slope of −1 that contains the point (3,6)?

azamat

Answer:

y=-x+9

Step-by-step explanation:

The answer above is written in slope-intercept form because it is the easiest form to graph (in my opinion); slope-intercept form is y=mx+b, where m is slope and b is the y-intercept. However, to get the answer, you must first use slope-point. Slope-point is $y-y_{1}=m(x-x_{1})$ . So, plug in the point and slope into the formula. This gives the equation, y-6=-1(x-3). Then, solve the equation for the answer of y=-x+9.

On a graph, the y-intercept will be 9. So, the line will cross the y-axis at a value of 9. Additionally, the slope is -1. So, y will increase by one and x will decrease by one. This means that the line will look like it decrease left to right.

5 0

3 years ago

Round number to the nearest hundred 293

Mrac [35]

300 is your answer

<u>2</u><u />93 the 2 looks at the neighbor and says are you 5 or more or are you 4 or less and 9 is bigger than 5 so then you round 9 and your answer turns into 300 okay.

3 0

3 years ago

Read 2 more answers

PLS HELP pq has endpoints at p(-5,4) and q(7,-5).what is the midpoint of pq? what are the cordinates of the point 2/3 of the way

lara31 [8.8K]

Answer:

a. (1, -0.5)

b. (-0.2, 0.4)

c. 15 units

Step-by-step explanation:

a. The midpoint of PQ

To calculate this, we use the midpoint formula;

(x,y) = {(x1 + x2)/2 , (y1 + y2)/2}

From the question; (x1,y1) = (-5,4) and (x2,y2) = (7,-5)

So (x,y) = (-5+7)/2 , (4-5)/2 = 2/2, -1/2 = (1,-0.5)

The coordinates of the midpoint of pq is (1,-0.5)

c. Length of pq

Mathematically;

Length = √{(x2-x1)^2 + (y2-y1)^2}

Length = √{(7-(-5))^2 + (-5-4)^2}

Length = √(12)^2 + (-9)^2

Length = √(144 + 81) = √(225) = 15

b. What we will use here is the internal division formula of the section formula;

Mathematically the coordinates can be calculated using the formula;

(x,y) = (mx2 + nx1)/m+ n , (my2 + ny1)/m + n

in this case, m = 2 and n = 3

(x1,y1) = (-5,4)

(x2,y2) = (7,-5)

So substituting these values, we have;

(x,y) = (2(7)+ 3(-5))/(2+3) , 2(-5) + 3(4)/(2+3)

(x,y) = (14 -15)/5 , (-10 + 12)/5

= (-1/5, 2/5) = (-0.2, 0.4)

5 0

3 years ago

There are 15 rolls of film in a box and 3 are defective. Two rolls are to be selected, one after the other. What is the probabil

dem82 [27]

<h2>Answer:</h2><h2>The probability of selecting a defective roll followed by another defective roll = $\frac{1}{35}$ </h2>

Step-by-step explanation:

The total number of rolls in a box = 15

The number of defective items = 3

Two rolls are to be selected, one after the other. The probability of selecting a defective roll followed by another defective roll = ?

The probability that the first roll is detective = $\frac{3}{15}$

The probability that the second roll is detective = $\frac{2}{14}$

Required probability = $(\frac{3}{15} ) (\frac{2}{14} )$

= $\frac{1}{35}$

7 0

3 years ago