Mathematics, 19.10.2019 14:00 paaoolav

Which of the following inequalities is graphed in the image below?

Answers: 3

Show answers

Answers

The first thing you have to do is to figure out what the equation for the line is then worry about the greater than/less than part. The dotted line goes through the y axis at -2, so the "b" part of our line is -2. From the -2 we can go up 3 and the to right 2 to land on the next point of our line that crosses through the grids of the graph. So that means that the slope is 3/2. So the equation for that line is y = 3/2x - 2. NOW we worry about the inequality part of it. The shading indicates that the points that fall within it are part of the solution. Since the line is dotted, the solution we pick will not contain an "or equal to". To see which side of the line we need to choose, let's pick a point and see if that point subbed in for x and y make the inequality true or not. Let's try (0, 0). If we sub in 0 for x and 0 for y into our first inequality statement (one of the 2 that doesn't have an "or equal to" in it) it looks like this: $0\ \textless \ \frac{3}{2} (0)-2$ which says, after solving, that 0 is less than -2. 0 is not less than -2, so that is not our correct choice. The last one, using the greater than sign, looks like this: $0\ \textgreater \ \frac{3}{2}(0)-2$ and this says that 0 is greater than -2. 0 IS greater than -2, so D is our choice.

Answer from: Quest

Siciuenckwk the answer

Answer from: Quest

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab in the y coordinate

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

x coordinate

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

y coordinate

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

x coordinate

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

y coordinate

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

x coordinate

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

y coordinate

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

x coordinate

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

y coordinate

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

x coordinate

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

y coordinate

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

x coordinate

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

y coordinate

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

x coordinate

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

y coordinate

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕

Another question on Mathematics

Mathematics, 21.06.2019 17:30

Lindsay used two points, (x,y; ) and (+2.82), to find the equation of the line, y = mx + b, that passes through the points. y2-y, first, she used the definition of slope and determined that the value of mis x, - . given this information, which expression must represent the value of b?

Answers: 2

Answer

Mathematics, 21.06.2019 18:00

What is the rate of change of a line that passes through (2,-5) and (6,-2)?

Answers: 2

Answer

Mathematics, 21.06.2019 18:00

Which shows the correct solution of the equation 1/2a+2/3b=50, when b=30?

Answers: 1

Answer

Mathematics, 21.06.2019 19:20

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?