Mathematics, 17.07.2019 11:20 haileysolis5

He rate of change of a car is decreasing linearly by 10 miles per hour. before the car started to slow down, the car was traveling at 50 miles per hour. can you use a linear model to represent the cars speed as a function of time and if so, why? what is the value for the slope and the y-intercept?

Answers: 1

Show answers

Answers

Yes. It should be y= – 10x+50
This is in standard form, and it means that for every hour (x) you decrease by 10, starting point being 50. Y=50-10x wouldn’t be in standard form so I just moved it around.
You can use a linear model to represent the car’s speed as a function of time because the speed linearly decreases over time at an initial speed of 50mph, so y=–10x+50.
The value for the slope is –10, because the car’s speed is decreasing linearly.
The y intercept can be found when you substitute 0 for x.
-10(0) +50
Y intercept = 50
This means that at 0 hours, the cars speed is 50 mph.
Whoops this is too long but I don’t want have to write it over so good luck.

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

Answer from: Quest

answer: 1722

step-by-step explanation:

given: the mass of saturn= $5.685\times10^{26}\ kgs$

the mass of mercury= $3.302\times10^{23}\ kgs$

the number of times the mass of saturn is greater than the mass of mercury

$=\frac{\text{mass of saturn}}{\text{mass of mercury}}\\=\frac{5.685\times10^{26}}{3.302\times10^{23}}\\\\=1.72168\times10^{26-23}{by using law of exponent}]\\=1.72168\times10^3=1721.68\approx1722$

hence, the mass of saturn is 1722 times greater than the mass of mercury.

Another question on Mathematics

Mathematics, 21.06.2019 14:00

What is the slope of a line that is perpendicular to y = 3x + 1

Answers: 1

Answer

Mathematics, 21.06.2019 14:30

Let w=23 . what is the value of w + 45 ?

Answers: 2

Answer

Mathematics, 21.06.2019 15:00

Aregular hexagon rotates counterclockwise about its center. it turns through angles greater than 0° and less than or equal to 360°. at how many different angles will the hexagon map onto itself?

Answers: 2

Answer

Mathematics, 21.06.2019 15:30

Avegetable garden and a surrounding path are shaped like a square that together are 11ft wide. the path is 2ft wide. find the total area of the vegetable garden and path

Answers: 1

Answer

You know the right answer?

He rate of change of a car is decreasing linearly by 10 miles per hour. before the car started to sl...

Questions