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Artemon [7]
3 years ago
6

What are the solutions of the compound inequality -6<=2x-4<4? Graph the solutions

Mathematics
1 answer:
Nata [24]3 years ago
5 0

-6\leq2x-4 < 4\qquad\text{add 4 to both sides}\\\\-2\leq2x < 8\qquad\text{divide both sides by 2}\\\\-1\leq x < 4

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The price of jeans was reduced $6 per week for 7 weeks. By how much did the price of the jeans change over the 7 weeks?
Nataliya [291]
The price changed by $42 over the course of seven weeks
3 0
3 years ago
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What is the value of minus 6 x cubed minus y squared minus 3 x y if if x = -2 and y = 4
Oksi-84 [34.3K]

Well, "minus 6 x cubed minus y squared minus 3 x y" translates to:

-6x^{2} -y^{2} -3xy

Then, if we insert the values for x and y, we get:

-6(-2)^{2} -(4)^{2} -3(-2)(4)

When we distribute and multiply:

144-16-24

And once we combine like terms:

104<em> is the answer</em>


8 0
3 years ago
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PLEASE HELP!!! BRAINLIEST TO CORRECT COMPLETE ANSWER!
notka56 [123]

Answer:

y=16x+1

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(1,17) and (2,33).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (1,17), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=1 and y1=17.

Also, let's call the second point you gave, (2,33), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=2 and y2=33.

Now, just plug the numbers into the formula for m above, like this:

m=  

33 - 17/  2 - 1

or...

m=  16/ 1

or...

m=16

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=16x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(1,17). When x of the line is 1, y of the line must be 17.

(2,33). When x of the line is 2, y of the line must be 33.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=16x+b. b is what we want, the 16 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (1,17) and (2,33).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(1,17). y=mx+b or 17=16 × 1+b, or solving for b: b=17-(16)(1). b=1.

(2,33). y=mx+b or 33=16 × 2+b, or solving for b: b=33-(16)(2). b=1.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(1,17) and (2,33)  is   y=16x+1

4 0
2 years ago
The slope of a line is (-1/2) and a point on the line is (-2, 3). Find the equation for the line in slope intercept form.
Helga [31]

Answer:

y=-1/2x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-1/2(x-(-2))

y-3=-1/2(x+2)

y=-1/2x-2/2+3

y=-1/2x-1+3

y=-1/2x+2

5 0
2 years ago
What did I do wrong when finding out the sector area? I know the answer I got is wrong so can someone please help me
bonufazy [111]
I believe your mistake is that you are trying to use the sector area formula ti find arc length when there is already a formula for it.
The formula for it is
2r\pi( \frac{degree}{360} )
So first substitute the values in and then simplify!
2(10.5)\pi( \frac{118}{360} )
Now simplify!
21 × 118 is 2478 so it's
\frac{2478}{360} \pi
When divided ou and multiplied, this is 21.62cm!

4 0
3 years ago
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