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vovangra [49]
3 years ago
15

Sketch the graphs of the line system on a corporate:{2x-y=1} {y=5x-5}

Mathematics
1 answer:
Papessa [141]3 years ago
8 0
I don’t know what some of that means but I can do the start for you? You rearrange
2x-y=1.

To do this, you +y to both sides, giving you 2x=1+y and then you minus 1, giving you 2x-1=y

Which can be rewritten the other way round to make it slightly easier

y=2x-1

You also have y=5x-5

These are both straight line equations and are now in the form y=mx+c

To sketch these graphs I would do two tables.

X -3 -2 -1 0 1 2 3
Y

For this, you now substitute each of the values for X into one of the equations you have. This is 2x-y=1 (2x-1=y)


X -3 -2 -1 0 1 2 3
Y -7 -5 -3 -1 1 3 5

You may have noticed a pattern there, the y values increased by two each time. This makes it linear. You would plot that line, onto an axis, using the coordinates you now have.
So, (-3, -7), (-2,-5), (-1,-3), (0,-1), (1,1), (2,3), (3,5)

Then I would do the same for the second equation, and plot that too.


X -3 -2 -1 0 1 2 3
Y -20 -15 -10 -5 0 5 10

You may have spotted this time the values increased by 5.

Then again plot this line using the coordinates shown.

I honestly have no idea what it means by “the line system on a corporate” but if that means on an axis then there’s your answer. If not then I do not know.

Hope this helps?
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Write a word problem that would have the solution <br> p&lt;21<br> Lineunder neath the
Dimas [21]
The line underneath the inequality line(arrow) means p is less than OR EQUAL to 21.
An example off the top of my head would be, Rachel just started a new job that pays 7 dollars per hour. She only worked 3 hours and decided she wanted to go to the mall to buy some clothes. How much money does Rachel have to spend?
And your answer is right there
5 0
3 years ago
PLEASE HELP
Vladimir [108]

Answer:

5.5 inches

Step-by-step explanation:

1) the formula to find the area of a square is l^2= area and l=length

in this case we already know the area but not the length

so we have to find the square root of 30 as the opposite operation needs to be used to find the missing number

so

√30= 5.47

5.47 rounded= 5.5

the length of one side is 5.5 in

5 0
3 years ago
Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the
velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is <em>x, x</em> + 2, and <em>x </em>+ 3.

So, our first term is <em>x</em>.

Then our second term will be our first term multiplied by the common ratio <em>r</em>. So:

x+2=xr

And our third term will be our first term multiplied by the common ratio <em>r</em> twice. Therefore:

x+3=xr^2

Solve for <em>x</em>. From the second term, we can divide both sides by <em>x: </em>

\displaystyle r=\frac{x+2}{x}

Substitute this into the third equation:

\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2

Square:

\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)

Simplify:

\displaystyle x+3=\frac{(x+2)^2}{x}

We can multiply both sides by <em>x: </em>

x(x+3)=(x+2)^2

Expand:

x^2+3x=x^2+4x+4

Isolate the <em>x: </em>

-x=4

Hence, our first term is:

x=-4

Then our common ratio <em>r</em> is:

\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of <em>x</em>, <em>x</em> + 2, and <em>x</em> + 3.

So, our fifth term is -1/4.

4 0
3 years ago
An object is translated by (x-2, y-6). If one point in the pre-image has the coordinates (-3, 7,) what would be the coordinates
Katen [24]

Answer:

(- 5, 1 )

Step-by-step explanation:

Given the translation rule

(x, y ) → (x - 2, y - 6 )

This means subtract 2 from the original x- coordinate and subtract 6 from the original y- coordinate, that is

(- 3, 7 ) → (- 3 - 2, 7 - 6 ) → (- 5, 1 )

5 0
3 years ago
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Sindrei [870]
2442
2+4+4+2=12

3333
3+3+3+3=12

1551
1+5+5+1=12

4224
4+2+2+4=12

5115
5+1+1+5=12

6006
6+0+0+6=12

The answer is 6
8 0
2 years ago
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