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Ahat [919]
4 years ago
6

What are the solutions to the inequality? Graph the solutions. x/5 greater than or equal to -2

Mathematics
1 answer:
Kryger [21]4 years ago
4 0
X/5 <u>></u> -2

">" is the greater than sign, and "<u>></u>" means it is greater than or <em>equal </em>to since it is underlined. All you have to do now is put the inequality into slope-intercept form (y = mx + b) and plot the line on a graph.

In this inequality, -2 is y and x/5 is x. Just rearrange the terms while still keeping the answer the same.

x/5 <u>></u> -2
-2 <u><</u> x/5 Notice that the sign changed to "less than or equal to." This is because x/5 is still greater than or equal to -2, which makes -2 less than or equal to x/5.

Since it is "or equal to," we can discover what x could be by multiplying -2 by 5, which is -10. So the non-dotted line goes over the point -10 on the x-axis, straightly vertical without a slope, and everything that is greater than -10 is shaded, which is everything on the right side of the line. It should look like the attachment below.

A site titled "www.desmos.com/calculator" might help you in the future. I hope my explanation made sense!

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Two dice are thrown simultaneously find
STALIN [3.7K]

Answer:

13.89%

Step-by-step explanation:

First lets find all possibilities of two dice being thrown, we can do this by finding a simple dice chart online (I attached an image of one to help.)

There are 36 possibilities, and we need to find how often the two dice add together to equal eight. 6+2=8, 5+3=8, etc.

There are five 5 total times that two dice can equal eight. so 5 out of 36 times we roll two dice we'll get eight.

\frac{5}{36}

Type that into the ol' handy dandy calculator and we've got 0.1388888889. So... a lot of 8's, we don't need that many and we just can't have an answer with that many.

To make that number into a percentage we have to move the dot two spaces over, and round to the thousandths place (two numbers).

This would give us 13.89%, our final answer.

Hope this helped!

4 0
3 years ago
What are the answers plz help im failing this class badly plz help plzzzz comeon
igomit [66]
Ok so f(x) and g(x) are the same thing as y. this means that you can solve these equations the same as any other multi-step equation. the only difference is if they have a number other than x in the parentheses. if they have a number you will just replace the x’s in the equation with the number in the parentheses.

example:

regular equation equation with f(4)
f(x)=2x+1 f(4)=2(4)+1

make sure to use pemdas :)
4 0
3 years ago
The time t required to empty a tank varies inversely as
vesna_86 [32]

If t and r are inverse proportional to one another, then for some constant volume V we have

V = tr

It takes 45 min to empty a tank containing at 300 gal/min, so the tank contains

V = (45\,\mathrm{min}) \left(300\dfrac{\rm gal}{\rm min}\right) = 13500\,\mathrm{gal}

of liquid.

If it's emptied at 500 gal/min, it would take

13500\,\mathrm{gal} = t \left(500\dfrac{\rm gal}{\rm min}\right) \implies t = \boxed{27\,\mathrm{min}}

4 0
2 years ago
Hello I need help with this math provlem
Katyanochek1 [597]

Answer:

i am sorry

Step-by-step explanation:

i sorry

4 0
3 years ago
What is the distance from the origin of point A graphed on the complex plane below?
crimeas [40]
Coordinates of point A are
(-3,-2)

Origin lies in the center of coordinate system. That means that you can picture this as right triangle with sides 3 and 2 and you need to find hypotenuse of it.

Using pythagoras theorem we calculate:
h^2 = 3^2 + 2^2 = 13
h = sqrt 13

<span>Answer is b</span>
7 0
3 years ago
Read 2 more answers
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