Jane started jogging home from 5 miles away, at a rate of 2 mph. Which equation in slope-intercept form represents Jane's distance from home?

Answer:

y ≤ |x - 2| + 4

Step-by-step explanation:

step (1)

move the 4 to the other side, so it would look like:

y≤ |x-2| + 4

step (2)

now we can start graphing it, you would first start on the x axis moving it to the right. so your point on the graph should be (2,0) {don't graph a point there though}

the reason we do this is because the absolute value means the opposite so everytime there is a number in the absolute value being added or subtracted by just x then we move it the opposite side.

then from that (2,0) we go up four which would now make it (2,4). that is our first point and vertex so graph that.

now in y≤ |x-2| +4 you have to note that if there is nothing next to the equality and the absolute value, then it will become a 1. so our equation will now look like y ≤ 1 |x-2| + 4. so with that from our (2,4) point, we go up one and to the right one and to the left one. So there should be two more points at (3, 5) and (1, 5).

we then keep following the pattern of going up one and the right one and to the left one. the graph line should be in a V shape.

step (3)

now there is one last thing you need to do which is shading. what you're going to do first is check the inequality sign. if the inequality sign has a line under it (meaning equal to) then the line will be a solid line. if it doesn't then there should be a dashed line. our inequality sign has a line under it so it is a solid line.

then we need to figure out where to shade, above or below. if the y is greater than the rest of the equation then that means you need to shade above the V shape. however, if it were to be less than the rest of the equation you would shade below the V shape.

in this problem since the y is less than the rest of the equation, shade downwards.

i hope this answered your question and sorry if my explanation was hard to understand, its a pretty lengthy and confusing but it was the only way i knew of how to explain :))

9514 1404 393

Answer:

  see the attachment

Step-by-step explanation:

The x- and y-intercepts are easily found:

X-intercept

Set y = 0 and divide by the coefficient of x.

  -x +0 = 8

  x = -8

__

Y-intercept

Set x = 0 and divide by the coefficient of y.

  0 -2y = 8

  y = -4

__

Now, we have two points on the graph: (-8, 0) and (0, -4). A third point can be one that is halfway between these: (-4, -2). The graph is attached.

Answer:

[tex]{ \rm{(2x + 156) = (4x + 192)}} \\ { \tt \{alternate \: angles \}} \\ \\ { \rm{4x - 2x = 156 - 192}} \\ \\ { \rm{2x = - 36}} \\ \\ \dashrightarrow \: { \rm{x = - 18}}[/tex]

[tex]\\ \sf\longmapsto 2x+156=4x+192[/tex]

[tex]\\ \sf\longmapsto 2x-4x=192-156[/tex]

[tex]\\ \sf\longmapsto -2x=36[/tex]

[tex]\\ \sf\longmapsto x=-18[/tex]

Answer:

u-3b-2 = a

     2

Step-by-step explanation:

Step by step:

u=3b-2a+2

u-3b=-2a+2

u-3b-2=2a

answer:

u-3b-2 = a

    2

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve for variable a ~

Answer:

There isn't a question listed love <3

Step-by-step explanation:

Answer:

ILL TRY AND HELP YOU LOL

Step-by-step explanation:

ALSO CAN YOU MARK ME BRAINLIEST IN HERE <33?

Answer:

9 - i.

Step-by-step explanation:

Add the real and imaginary parts separately:

12 - 5i + -3 + 4i

= 12 + -3 - 5i + 4i

= 9 - i.

Answer:

D.

Step-by-step explanation:

Use Pythagoras to solve for the longest side of the triangle

Add up the side lengths to find the perimeter

Multiply half the base by the height for the area

Answer:

I h ok honestly dont know that I'm so sorry

The domain is the set of all the x-values used by those points.

  { -1, 0, 3, -5, -3 }

The order does not matter.

Answer:

Standard form: -3x ^2 + 6x

Vertex form: y = -3 (x - 1) ^2 +3

Step-by-step explanation:

Hope this helps ^v^

Answer:

2

Step-by-step explanation:

Correct me if im wrong?

Answer:

Step-by-step explanation:

Exact Form:

x = 5 over 8

Decimal Form:

x = 0.2 over 7

Answer:

g(2)=2*2-4*2

g(2)=4-8

g(2)=4

Step-by-step explanation:

Answer:

$1.20 in pennies, $3 in nickels

Step-by-step explanation:

(i fell like im wrong :{ )

Answer:

4

Step-by-step explanation:

dmndndndndndnndndnndndnndndndnxmxn que la vida

Answer:

3 3/4

Step-by-step explanation:

Because 1 = 4/4

then 4 = 12/4

then you take away 1/4

And get 11/4

Then you Turn that into a mixed number

And get 3 3/4

Decimal form is 3.75

Answer:

15/4 alternate answers - 3 3/4 or 3.75

that's what I got

Answer:

B is the answer hope you get it right

Answer:

Graph B Would Be Your Answer Just Got It Right On Plato

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

Lines l and m are parallel so the sum of given angles is = 180

3x + 12 + 5x + 8 = 180 add like terms

8x + 20 = 180 subtract 20 from both sides

8x = 160 divide both sides by 8

x = 20 replace x with 20 in given expression to calculate any measure.

Answer:

The difference between the two values is -9

Answer:

-0.48, -0.47, -0.46, -0.45

Step-by-step explanation:

Initially, you may think to put -0.45 as the least value out of the four. However, we are dealing with negatives. This changes the way we order the numbers.

Here's what you need to know:

The closer a negative number is to 0, the greater it is. The farther a negative number is to 0, the less it is. For instance, -1 is a lot closer to being a positive number as opposed to -14.

Now, you apply that concept to this question.

-0.45 is the greatest since it is closer to 0 than -0.48!

I hope you find this helpful :D

Answer:d

Step-by-step explanation:

xsn

The distance that will be covered by the bus will be 65km.

Since his house is 325 km away from Oxford and he covered 1/5th of his journey by bus. Then, the distance that's covered by bus will be:

= 1/5 × 325km

= 65 km.

Since 227.5km is covered by train, then the distance covered by train will be: = 227.5/325 = 7/10

The distance covered by foot will be:

= 325 - (65 + 227.5 + 16.25)

= 325km - 308.75km

= 16.25km

The difference in distance covered by train and covered by bus will be:

= 227.5km - 65km

= 162.5km

Read related link on:

https://brainly.com/question/25214857

Answer:

x = 1/4

Step-by-step explanation:

1x+3 = 5x+2

1 = 4x

x = 1/4

Answer:

x= [tex]\frac{1}{4}[/tex]

---------------------------------------------------------------------------------------------------------------

Check:

1x[tex]\frac{1}{4}[/tex]+3 = 5x[tex]\frac{1}{4}[/tex]+2

0.25+3=1.25+2

3.25=3.25

This is true so X=[tex]\frac{1}{4}[/tex]

---------------------------------------------------------------------------------------------------------------

If this helped pls give me brainliest

Answer:

y=-[tex]\frac{5}{8}[/tex]x-5

Step-by-step explanation:

Start with the slope equation [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex].

[tex]\frac{-10-(-5)}{8-0}=\frac{-5}{8}[/tex]

This is the slope of your equation

Now rearrange the slope-intercept equation to get your y-intercept

y=mx+b

y-mx=b

Now substitute either of your two points to find your y-intercept

-10-(-[tex]\frac{5}{8}[/tex](8))=b

-10-(-5)=b

-10+5=b

b=-5

Now that you have slope and the y-intercept you can write your equation:

y=-[tex]\frac{5}{8}[/tex]x-5

Answer:

I don't really get the question but I'm guessing an acute angle

ok i gotchu

1.) 4 1/4

2.)6 2/3

3.)11

4.)3 11/15

5.)1 1/8

6.)1 17/18

7.)4

8.)4 1/12

9.)12 5/6

Answer:

x= -7

Step-by-step explanation:

To solve subtract:

100-107= -7

x= -7

Hope this helps!

Answer:

x+107=100 (vert opp angles)

x=100-107

=-7