All categories

3 years ago

X≤−2 and x<−5 on a number line

Mathematics

1 answer:

sweet [91]3 years ago

4 0

x is less than or equal to -2.

x is greater than -5.

When x is less than something, the arrow must go left. <———

When x is equal to a number, the dot must be filled in. •

When x is greater than a number, the arrow should go right, toward the greater values. ——>

When x isn’t equal to the number, the circle is not colored in. ⭕️

Shown in picture:

You might be interested in

What is the equatipn of the linear graph? (-4, 6). (1, -9)

dusya [7]

Answer:

y = -3x - 6

Step-by-step explanation:

first, find the slope

(-4, 6)

(1, -9)

remember the equation for the slope

$\frac{y_{2}-y_{1}}{x_{2} - x_{1}} }$

insert given points

$x_{1} = -4\\y_{1} = 6\\\\x_{2} = 1\\y_{2} = -9$

((-9) - (6)) / ((1) - (-4))

simplify

( -9 - 6) / (1 + 4)

= -15/ 5

= -3

now insert it into the equation of the line

remember, the equation of the line is

y = mx + b

where "m" is the slope

and "b" is the y-intercept

to find "b", you just have to plug in a point that is found on the line

we know that (-4, 6) and (1. -9) is found on the line, so let's just use (-4, 6) for this problem

y = mx + b

substitute in the slope of this line

y = -3x + b

now substitute in the given points

6 = -3 * -4 + b

and solve it like any algebra problem, by inverse operations and simplifying

6 = 12 + b

-12 -12

-6 = b

so the equation of the line is

y = -3x -6

3 0

3 years ago

John walks m miles each week. Marie’s distance can be found by using the expression : 3m + ½

KiRa [710]

Answer:

21.5 Miles or 21 ½ Miles

Step-by-step explanation:

Plug in 7 as m to 3m + ½.

Then, I get 3(7) + ½.

That concludes to 21 + ½

Add the ".5" or "½" at the end

So, answer is you get is 21.5 of 21 ½

7 0

2 years ago

Harmons and Smiths are having a sale on apples. Harmons charges $1.25 for 5 apples. Smiths charges $2.04 for 6 apples. Find the

8090 [49]

Answer:

0.09

Step-by-step explanation:

Divide 1.25 by 5 which is 0.25, and 2.04 by 6 which is 0.34

Then subtract the answers 0.34-0.25=0.09

7 0

3 years ago

What is 3/5 and 1/2 by using common denominator

gulaghasi [49]

6/10 and 5/10

The common denominator is 10

3 0

3 years ago

Read 2 more answers

Solve the following initial-value problem: (ex+y)dx+(3+x+yey)dy=0, y(0)=1 0=

alex41 [277]

Answer:

$e^x+xy+3y+(y-1)e^y=4$

Step-by-step explanation:

Given that

$(e^x+y)dx+(3+x+ye^y)dy=0$

Here

$M=e^x+y$

$N=3+x+ye^y$

We know that

M dx + N dy=0 will be exact if

$\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$

$\frac{\partial M}{\partial y}=1$

$\frac{\partial N}{\partial x}=1$

it means that this is a exact equation.

$\int d\left(e^x+xy+3y+(y-1)e^y\right)=0$

Noe by integrating above equation

$e^x+xy+3y+(y-1)e^y=C$

Given that

x= 0 then y= 1

$e^0+0+3+(1-1)e^1=C$

C=4

So the our final equation will be

$e^x+xy+3y+(y-1)e^y=4$

3 0

3 years ago